Debian Science Project
Summary
Mathematics-dev
Debian Science Mathematics-udviklingspakker

Denne metapakke vil installere Debian Science-pakker, som kan være nyttige for udvikling af matematikprogrammer.

Du vil måske også være interesseret i metapakken science-mathematics.

Description

For a better overview of the project's availability as a Debian package, each head row has a color code according to this scheme:

If you discover a project which looks like a good candidate for Debian Science to you, or if you have prepared an unofficial Debian package, please do not hesitate to send a description of that project to the Debian Science mailing list

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Debian Science Mathematics-dev packages

Official Debian packages with high relevance

code-saturne-bin
Alment Computational Fluid Dynamics-program (CFD) - binære filer
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De grundlæggende funktioner i Code_Saturne gør det muligt at håndtere inkompressible eller kompressible strømme med eller uden varmeoverførsel og turbulens. Dedikerede moduler er tilgængelige for specifik fysik såsom strålingsvarmeoverførsel, forbrænding (gas, kul, svær brændselsolie ...), magneto-hydrodynamik, kompressible strømme, to-fase-strømme (Euler-Lagrange-tilgang med gensidig kobling), udvidelser til specifikke anvendelser (f.eks. Mercure_Saturne for atmosfærisk miljø).

Programmet kører parallelt med MPI på maskiner med distribueret hukommelse. Det har været i udvikling siden 1997 på EDF F&U og er baseret på en co-beliggende Finite Volume-tilgang, der accepterer masker med enhver form for celle (tetraederformet, hexahedral, prismatisk, pyramideformet, polyhedral ...) og enhver form for gitterstruktur (ustruktureret, blokstruktureret, hybrid, overensstemmende eller med hængende knudepunkter ...).

Denne pakke indeholder de binære filer.

code-saturne-include
Alment Computational Fluid Dynamics-program (CFD) - inkluderinger
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De grundlæggende funktioner i Code_Saturne gør det muligt at håndtere inkompressible eller kompressible strømme med eller uden varmeoverførsel og turbulens. Dedikerede moduler er tilgængelige for specifik fysik såsom strålingsvarmeoverførsel, forbrænding (gas, kul, svær brændselsolie ...), magneto-hydrodynamik, kompressible strømme, to-fase-strømme (Euler-Lagrange-tilgang med gensidig kobling), udvidelser til specifikke anvendelser (f.eks. Mercure_Saturne for atmosfærisk miljø).

Programmet kører parallelt med MPI på maskiner med distribueret hukommelse. Det har været i udvikling siden 1997 på EDF F&U og er baseret på en co-beliggende Finite Volume-tilgang, der accepterer masker med enhver form for celle (tetraederformet, hexahedral, prismatisk, pyramideformet, polyhedral ...) og enhver form for gitterstruktur (ustruktureret, blokstruktureret, hybrid, overensstemmende eller med hængende knudepunkter ...).

Denne pakke indeholder inkluderingsfilerne.

coinor-libcoinmp-dev
Simpel C-API for COIN-OR Solvers Clp and Cbc - udvikling
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Coin-MP-optimeringsprogrammet er en løser, udviklet i åben kildekode, som er en del af COIN-OR-projektet, som er et initiativ der skal øge udvikling af programmer udviklet i åben kildekode for forskningsfællesskabet indenfor operation.

CoinMP er et C-API-bibliotek, som understøtter det meste af funktionalitetet i CLP (Coin LP)-, CBC (Coin Branch-and-Cut)- og CGL (Cut Generation Library)-projekter.

Denne pakke indeholder filerne krævet for at bygge programmer, der bruger libCoinMP.

cppad
Automatic Differentiation af C++-algoritmer - overgangspakke
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CppAD er en pakke for automatisk differentiering (AD) af algoritmer skrevet i C++. Med passende skrevet C++-kode, som beregner en funktion, så forsøger CppAD den til også at beregne afledte værdier. Systemet bruger skabeloner, understøtter fremadrettede og bagvendte tilstande for akkumulering og tillader også indlejrede afledninger.

Denne pakke hjælper med overgangen til libcppad-dev.

fenics
Automated Solution of Differential Equations
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FEniCS er en samling af frie programmer til automatisk, effektiv løsning af differentialligninger.

FEniCS har en omfattende liste over funktioner, inklusive automatiserede løsning af variationsproblemer, automatiseret fejlkontrol og tilpasning, et omfattende bibliotek for begrænsede elementer, højtydende lineær algebra og meget mere.

FEniCS er organiseret som en samling af komponenter, der fungerer sammen, inklusive problemløsningsmiljøet DOLFIN, formularkompileren FFC, den begrænsede elementtabulator FIAT, just-in-time-kompileren Instant, grænseflade for kodeoprettelse UFC, formularsproget UFL og en række yderligere komponenter.

Dette er en metapakke, der afhænger af alle FEniCS-komponter.

Dette er den forældede version af FEniCS. Du kan eventuelt overveje at installere næste generation FEniCS-X (pakken fenicx).

fflas-ffpack
Endelige feltlineær algebra underrutiner/pakke
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FFLAS-FFPACK består i oprettelsen af et sæt af rutiner, givet de samme værktøjer som et sæt af klassiske Basic Linear Algebra Subroutines, men fungerende over endelige felter. På samme måde laves også nogle andre rutiner på højere niveau (såsom dem i LAPACK).

Please cite: Jean-Guillaume Dumas, Pascal Giorgi and Clément Pernet: Dense Linear Algebra over Word-Size Prime Fields: the FFLAS and FFPACK Packages. ACM Trans. on Mathematical Software (TOMS) 35(3):1-42 (2008)
fftw-dev
bibliotek for beregning af Fast Fourier Transforms
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Dette bibliotek beregner FFT'er i en eller flere dimensioner. Den er ekstremt hurtig. Denne pakke indeholder det statistiske lænkede bibliotek og hovedfilerne.

gap-dev
GAP-computeralgebrasystem, kompiler og udviklingsfiler
Maintainer: Bill Allombert
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GAP er et system til computerstyret diskret algebra med særlig vægt på computerstyret gruppeteori. GAP tilbyder et programmeringssprog, et bibliotek med tusinder af funktioner, der implementerer algebraiske algoritmer skrevet i GAP-sproget samt store databiblioteker med algebraiske objekter. GAP bruges indenfor videnskab og undervisning til studering af grupper og deres repræsentation, ringe, vektorrum, algebraer, kombinatoriske strukturer med mere.

Denne pakke indeholder GAP-kompileren og teksthovedfilerne og objektfiler nødvendige for at bygge GAP-pakker.

GAP-kompileren (GAC) opretter C-kode fra GAP-kode og kalder så systemets C-kompiler for at fremstille maskinkode. Dette kan medføre en hastighedsforøgelse.

jel-java
Bibliotek til at evaluere algebraiske udtryk i Java
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JEL-biblioteket gør det muligt for brugere at indtaste algebraiske udtryk i deres program. Da JEL konverterer udtryk direkte til Javabytecode, så øges hastigheden signifikant for evalueringstiden. Hvis brugerens virtuelle maskine for Java har en JIT-kompiler, så kompileres udtryk gennemsigtigt til maskinkode.

JEL kan være et meget nyttig værktøj for en række af programmer indenfor videnskab, der involverer brugerdefinerede funktioner, f.eks. oprettelsen af plot, anvende tilpasninger på datasæt og til at løse integraler eller differentialligninger. En anden relevant brug af JEL er for algebraiske operationer mellem to eller flere kolonner i en databasetabel.

libalglib-dev
Udviklingsfiler for alglib-biblioteket
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ALGLIB er et numerisk analyse- og databehandlingsbibliotek for flere platforme.

  • Lineær algebra (direkte algoritmer, EVD/SVD)
  • Løsere (lineær og ikkelineær)
  • Interpolering
  • Optimering
  • Fast Fourier-transformering
  • Lineær og ikkelineær least-squares-tilpasning
  • Ordinære differentialligninger
  • Specielle funktioner
  • Statistikker (beskrivende statistik, test af hypoteser)
  • Dataanalyse (klassifikation/regression, inklusiv neurale netværk)

Denne pake indeholder udviklingsfilerne (hoveder og dokumentation) for ALGLIB.

libann-dev
Bibliotek til at søge tilnærmelsesvist efter nærmeste nabo - udviklingsfiler
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ANN er et bibliotek skrevet i C++, der understøtter datastrukturer og algoritmer for både eksakt og tilnærmelsesvis nabosøgning i vilkårligt høje dimensioner. ANN antager at afstande måles med enhver klasse fra afstandsfunktionerne kaldet Minkowski-metrikker. Disse inkluderer de velkendte euklidiske afstande, Manhattan-afstand og maksimal afstand. ANN yder ganske effektivt for punktsæt i størrelsesintervallet fra tusinder til hundrede af tusinder, og i så højt som 20 dimensioner.

Denne pakke indeholder teksthovedfilerne for udvikling af programmer med ANN-biblioteket.

libarmadillo-dev
streamlined C++ linear algebra library - Headers
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Armadillo is a streamlined C++ linear algebra library (matrix maths) aiming towards a good balance between speed and ease of use. Integer, floating point and complex numbers are supported, as well as a subset of trigonometric and statistics functions. Optional integration with LAPACK and ATLAS libraries is also provided.

This package has the development libraries and headers for Armadillo.

libarpack++2-dev
Objektorienteret version af pakken ARPACK - udvikling
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ARPACK++ er en objektorienteret version af ARPACK-pakken. Den består af en samling af klasser, som tilbyder c++-programmører en grænseflade til ARPACK. Den bevarer fuld funktionalitet, ydelse, præcision og lave hukommelseskrav fra FORTRAN-pakken, men har fordel af det c++-objektorienterede programmeringsmiljø.

ARPACK står for ARnoldi PACKage og tilbyder eigenvalue-løsere i standard eller generaliseret form for tynde matricer, der typisk opstår fra finitte elementkoder. Se den tilsvarende Debianpakke.

libarpack2-dev
Fortran77-underrutiner til at løse egenværdiproblemer i stor skala - udvikling
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ARPACK-programmet er i stand til at løse symmetriske, asymmetriske og generaliserede egenværdiproblemer i stor skala inden for mange anvendelser. Programmet er designet til at beregne nogle få (k) egenværdier med brugerangivne funktioner såsom dem med størst real del eller størst størrelsesorden. Lagerkrav er i absolutværdi n*k elementer. Intet ekstra lager er krævet. Et sæt Schur-basisvektorer for det ønskede k-dimensionale egenrum beregnes, hvilket er numerisk ortogonalt ned til arbejdspræcision. Numerisk præcise egenvektorer er tilgængelige efter forespørgsel.

Denne pakke indeholder de statiske biblioteker og dokumentationen for udvikling med libarpack (inklusive eksempler).

libatlas-base-dev
Automatisk Tunet Lineær Algebra Software - generisk statisk
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ATLAS er en måde at generere og optimere numeriske programmer automatisk. ATLAS indeholder optimerede udgaver af det komplette sæt lineær algebrakerner kendt som »Basic Linear Algebra Subroutines« (BLAS), samt nogle af lineær algebrarutinerne i LAPACK-biblioteket.

Denne pakke indeholder teksthovederne, de statiske biblioteker og symbolske henvisninger krævet til programudvikling.

libbasix-dev
Finite Element Basis Function Definition Runtime Library - udviklingsteksthoveder
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Denne pakke beregner FE-basisfunktioner og afledninger for de følgende elementer:

  • Lagrange (interval, triangle, tetrahedron, prism, pyramid, quadrilateral, hexahedron)
  • Nédélec (triangle, tetrahedron)
  • Nédélec Second Kind (triangle, tetrahedron)
  • Raviart-Thomas (triangle, tetrahedron)
  • Regge (triangle, tetrahedron)
  • Crouzeix-Raviart (triangle, tetrahedron)

Beregner quadrature-regler på forskellige celletyper

Tilbyder referencetopologi og geometri for referenceceller af hver type.

Pythonomslag tilbudt med pybind11.

Denne pakke installerer udviklingsfilerne for det delte bibliotek.

libblas-dev
Basic Linear Algebra Subroutines 3, statisk bibliotek
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Denne pakke er en binær inkompatibel opgradering til pakken blas-dev. Flere mindre ændringer til C-grænsefladen er blevet indarbejdet.

BLAS (Basic Linear Algebra Subroutines) er et sæt af effektive rutiner, til de fleste grundlæggende vektor- og matricehandlinger. De anvendes i udbredt grad som grundlaget for andet højkvalitets- programmel for lineær algebra, eksempelvis lapack og linpack. Denne implementering er Fortran 77 reference-implementeringen, der findes i netlib.

Denne pakke indeholder en statisk version af biblioteket.

Please cite: E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney and D. Sorensen: LAPACK Users' Guide (1999)
libblis-dev
BLAS-like Library Instantiation Software Framework (dev,32bit,meta)
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BLIS is a portable software framework for instantiating high-performance BLAS-like dense linear algebra libraries. The framework was designed to isolate essential kernels of computation that, when optimized, immediately enable optimized implementations of most of its commonly used and computationally intensive operations. BLIS is written in ISO C99 and available under a new/modified/3-clause BSD license. While BLIS exports a new BLAS-like API, it also includes a BLAS compatibility layer which gives application developers access to BLIS implementations via traditional BLAS routine calls. An object-based API is also available for more experienced users.

The package pulls development files for one of the 32-bit BlasInt variants.

Please cite: Field G. {V}an~{Z}ee and Robert A. {v}an~{d}e~{G}eijn: BLIS: A Framework for Rapidly Instantiating BLAS Functionality. ACM Transactions on Mathematical Software 41(3):14:1-14:33 (2015)
libblitz0-dev
C++-skabelonklasse - bibliotek for videnskabelig beregning - libdev
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Blitz++ tilbyder et højt niveau af abstraktion, men med en ydelse der udfordrer Fortran. Den nuværende version understøtter tabeller og vektorer.

Denne pakke indeholder det statiske bibliotek og teksthovedfiler til at kompilere programmer med blitz++.

The package is enhanced by the following packages: libblitz-doc
libbraiding-dev
Beregninger på braid-grupper - udviklingsfiler
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Libbrading er et bibliotek til at beregne flere egenskaber for braids, inklusive centralizer- og conjugacy-kontrol.

Det er baseret på CBraid af Jae Choon Cha og Braiding af Juan Gonzalez-Meneses.

Denne pakke indeholder udviklingsfilerne for biblioteket.

libbrial-dev
polynomials over Boolean Rings, core development files
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The core of BRiAl is a C++ library, which provides high-level data types for Boolean polynomials and monomials, exponent vectors, as well as for the underlying polynomial rings and subsets of the powerset of the Boolean variables. As a unique approach, binary decision diagrams are used as internal storage type for polynomial structures. On top of this C++-library a Python interface is provided. This allows parsing of complex polynomial systems, as well as sophisticated and extendable strategies for Groebner base computation. BRiAl features a powerful reference implementation for Groebner basis computation.

This package contains the BRiAl core development files.

libcdd-dev
Bibliotek til at finde hjørner af konvekse polytoper - udvikling
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Biblioteket cddlib er et C-bibliotek for manipulering af generel konveks polyhedra. Biblioteket understøtter konvertering mellem systemet af lineære uligheders repræsentation og en knudepunkts og ekstrem stråling-repræsentation af et polyeder, og understøtter også løse lineære programmeringsproblemer.

Denne pakke indeholder cddlib-udviklingsfilerne.

libcgal-dev
C++-bibliotek for beregningsgeometri - udviklingsfiler
Maintainer: Joachim Reichel
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CGAL (Computational Geometry Algorithms Library) gør de vigtigste løsninger og metoder udviklet i beregningsgeometri tilgængelige for brugere i industrien og akademierne i et C++-bibliotek. Formålet er at tilbyde nem adgang til nyttige og troværdige geometri-algoritmer.

Denne pakke indeholder de fleste teksthovedfiler. Teksthovedfilerne for visualisering med Qt kan findes i pakken libcgal-qt5-dev.

libcminpack-dev
Nonlinear equations and nonlinear least squares problems - development
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Minpack includes software for solving nonlinear equations and nonlinear least squares problems. Five algorithmic paths each include a core subroutine and an easy-to-use driver. The algorithms proceed either from an analytic specification of the Jacobian matrix or directly from the problem functions. The paths include facilities for systems of equations with a banded Jacobian matrix, for least squares problems with a large amount of data, and for checking the consistency of the Jacobian matrix with the functions.

This is the C re-write of the original fortran minpack implementation.

This package contains development files needed to build cminpack applications.

Please cite: Devernay, Frederic: C/C++ Minpack. (2007)
libcneartree-dev
Library and headers for solving the Nearest Neighbor Problem
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Neartree is an API and a library for finding nearest neighbors among points in spaces of arbitrary dimensions. This package provides a C++ template, TNear.h, and C library and header files for compiling programs using Neartree.

The library uses the Nearest Neighbor algorithm after Kalantari and McDonald, (IEEE Transactions on Software Engineering, v. SE-9, pp. 631-634,1983) modified to use recursion instead of a double-linked tree and simplified so that it does less checking for things like is the distance to the right less than the distance to the left; it was found that these checks make little to no difference.

libcombblas-dev
an extensible parallel graph library for graph analytics
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The Combinatorial BLAS (CombBLAS) is an extensible distributed-memory parallel graph library offering a small but powerful set of linear algebra primitives specifically targeting graph analytics.

  • The Combinatorial BLAS development influences the Graph BLAS standardization process.
  • It achieves scalability via its two dimensional distribution and coarse-grained parallelism.
  • CombBLAS powers HipMCL, a highly-scalable parallel implementation of the Markov Cluster Algorithm (MCL).
  • Operations among sparse matrices and vectors use arbitrary user defined semirings.

This package provides development files for building client applications against combblas.

libcqrlib-dev
Library and headers for quaternion arithmetic and rotation math
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Quaternions are four-dimensional numbers which form an associative normed division algebra over the real numbers. Unit quaternions are a convenient and efficient way to represent orientations and rotations in three dimensions.

CQRlib is an ANSI C implementation of a utility library for quaternion arithmetic and quaternion rotation math.

This package contains files needed for compiling programs using CQRlib.

libcvector-dev
ANSI C-implementering af dynamiske matricer - udviklingsfiler
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CVector er et ANSI C-bibliotek, som implementerer dynamiske matricer der tilnærmer sig funktionaliteten for C++-vektorklassen. Biblioteket tilbyder funktioner til at oprette og manipulere en abstrakt vektorcontainer. Vektorelementer kan være enhver datatype.

Denne pakke indeholder filer krævet for kompilering af programmer med CVector.

libdeal.ii-dev
Differential Equations Analysis Library - development files
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deal.II is a C++ program library targeted at the computational solution of partial differential equations using adaptive finite elements. It uses state-of-the-art programming techniques to offer you a modern interface to the complex data structures and algorithms required.

This package contains the development files.

libdogleg-dev
Powell's dog-leg nonlinear least squares solver for sparse matrices
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Solves unconstrained nonlinear least squares problems using Powell's dog-leg method. The user specifies a callback C function that returns the value and gradients of the model function at a particular operating point. This library takes a series of dog-leg steps to find a local minimum of the residual surface.

This library works with sparse matrices, which makes it suitable for efficiently solving very large problems.

Development files

libdolfinx-dev
Delte henvisninger og hovedfiler for DOLFIN
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DOLFIN er Python- og C++-grænsefladen for FEniCS-projektet for den automatiserede løsning for differentialligninger, der tilbyder et konsistent PSE (Problem Solving Environment) for løsning af ordinære og delvise differentialligninger. De vigtigste funktioner er en simpel, konsistent og intuitiv objektorienteret API; automatisk og effektiv evaluering af sæsonformer; automatisk og effektiv samling af lineære systemer; og understøttelse af generelle familier af finitte elementer.

Denne pakke indeholder de gængse udviklingsfiler og afhænger af udviklingspakkerne real eller complex.

Dette er næste-generation versionen af libdolfinx-dev (DOLFIN-X). Den forældede version af DOLFIN tilbydes af libdolfin-dev.

libdouble-conversion-dev
Rutiner til at konvertere IEEE-kommatal til og fra strenge - udviklingsfiler
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Dette bibliotek tilbyder rutiner til at konvertere IEEE enkelte og dobbelte kommatal til og fra strengrepræsentationer. Det tilbyder en masse fleksibilitet med respekt for konverteringsformatet: kortest, fast, præcision- eller eksponentiel repræsentation; decimal, oktal eller hexadecimal grundlag; kontrol over antallet af cifre, foranstillede/efterfølgende nuller og mellemrum.

Biblioteket består af effektive konverteringsrutiner, som er blevet udtrukket fra V8 JavaScript-motoren. Koden er blevet refaktoreret og forbedret, så den nemmere kan bruges i andre projekter.

Denne pakke indeholder en statisk version af biblioteket og udviklingsteksthoveder.

libdune-grid-dev
Værktøjskasse til at løse PDE'er - gittergrænseflade - udviklingsfiler
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DUNE, Distributed and Unified Numerics Environment er en modulopbygget værktøjskasse til at løse delvise differentialligninger (PDE'er) med gitterbaserede metoder. Den understøtter den nemme implementering af metoder såsom Finite Elements (FE), Finite Volumes (FV) og også Finite Differences (FD).

Denne pakke indeholder udviklingsfilerne for gittergrænsefladen.

libec-dev
Bibliotek for modulære symboler og elliptiske kurver over Q - udvikling
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Dette bibliotek implementerer 2-descent på elliptiske kurver over Q og beregninger med modulære symboler.

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libecm-dev
Overgangspakke
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Dette er en overgangspakke.

libeigen3-dev
lightweight C++ template library for linear algebra
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Eigen 3 is a lightweight C++ template library for vector and matrix math, a.k.a. linear algebra.

Unlike most other linear algebra libraries, Eigen 3 focuses on the simple mathematical needs of applications: games and other OpenGL apps, spreadsheets and other office apps, etc. Eigen 3 is dedicated to providing optimal speed with GCC. A lot of improvements since 2-nd version of Eigen.

libfeel++-dev
Et bibliotek for metoden »finite element«
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Tilbyder teksthovedfilerne og statiske biblioteker.

Feel++ er et omfattende »finite element-bibliotek« til løsning af partielle differentialligninger.

Understøtter 1D, 2D og 3D.

Understøtter de følgende basiselementer: Simplex (segment, trekant, tetraeder) og produkter af simplex såsom heksaeder.

Understøtter forskellige punktsæt på disse grundlæggende elementer: ækvidistante punkter, kvadraturpunkter, interpolationspunkter (Gauss- Lobatto, Fekete, WarpBlend?).

Understøtter kontinuerte og diskontinuerte Galerkinmetoder.

Understøtter forskellige polynomiumssæt:

  • Lagrange (kontinuert, diskontinuert, alle dimensioner, alle interpolationspunktmængder)

  • Dubiner (diskontinuert), randtilpasset (kontinuert)

  • Legendre (diskontinuert), randtilpasset (kontinuert)

Indeholder matematiske begreber for abstraktioner af højere orden (funktionsrum og associerede elementer, former og operatorer).

Tilbyder et sprog indlejret i C++ til variationelle formuleringer, projektion og numerisk integration.

libfftw3-dev
Bibliotek for beregning af Fast Fourier Transforms - udvikling
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FFTW-biblioteket beregner Fast Fourier Transforms (FFT) i en eller flere dimensioner. Den er ekstrem hurtig. Denne pakke indeholder det statistisk lænkede bibliotek, hovedfiler og testprogrammer.

Denne pakke indeholder teksthovedfiler og statiske biblioteker. For dokumentation se libfftw3-doc.

Please cite: Matteo Frigo and Steven G. Johnson: The Design and Implementation of FFTW3. (eprint) 93(2):216–231 (2005)
Registry entries: SciCrunch 
libflame-dev
High-performance object-based library for DLA computations (dev)
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libflame is a portable library for dense matrix computations, providing much of the functionality present in LAPACK, developed by current and former members of the Science of High-Performance Computing (SHPC) group in the Institute for Computational Engineering and Sciences at The University of Texas at Austin. libflame includes a compatibility layer, lapack2flame, which includes a complete LAPACK implementation.

This package contains the static library and the development files.

libflann-dev
Hurtigt bibliotek for Approximate Nearest Neighbors - udvikling
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FLANN er et bibliotek for udførsel af hurtig omtrentlig nærmeste nabo-søgninger i højdimensional rum. Den består af en samling af algoritmer fundet til at fungere bedst for nærmeste nabosøgning og et system for automatisk valg af den bedste algoritme og optimale parametre afhængig af datasættet.

Denne pakke indeholder udviklingsfiler krævet for at bygge FLANN-programmer.

libflint-arb-dev
C library for arbitrary-precision ball arithmetic, development files
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FLINT-ARB is a C library for high-performance arbitrary-precision floating-point ball (mid-rad interval) arithmetic. It supports complex numbers, polynomials, matrices, and evaluation of special functions, all with rigorous error bounding.

This package contains the development files.

libflint-dev
C library for number theory, development files
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The Fast Library for Integer Number Theory is a C library which supports polynomial arithmetic over the integers, fast integer arithmetic and factoring (including a highly optimized quadratic sieve).

FLINT has functionality similar to that of the Number Theory Library (NTL). However, unlike NTL, which is designed primarily for asymptotic performance, FLINT is designed for good performance in small cases as well.

This package contains the FLINT development files.

libfplll-dev
Bibliotek for LLL-redukton af Euclidean-gitre - udvikling
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fpLLL er et bibliotek for beregning af reducerede (næsten retvinklede) baser for Euclidean-gitre med brug af flydende tal LLL-algoritmen.

fpLLL indeholder flere forskellige implementeringer af flydende tal LL-reduktionsalgoritmen, der tilbyder flere forskellige hastigheds/garanti forhold.

Biblioteket indeholder et »omslag«, som vælger den estimerede bedste sekvens af varianter for at tilbyde et garanteret resultat så hurtigt som muligt. I tilfældet med omslaget, er rækkefølgen af varianter ukendt for brugeren.

Denne pakke indeholder udviklingsfiler for libfplll.

libfreefem++-dev
Udviklingsfiler for FreeFem++ FE-programpakken
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FreeFem++ er en implementering af et sprog dedikeret til den finitte elementmetode. Du kan dermed nemt løse Partial Differential Equations (PDE).

Problemer der involverer PDE fra specielle grene af fysikken såsom LUID-strukturinteraktioner kræver interpolationer af data på flere masker og deres manipulation inden i et program. FreeFe ++ inkluderer en hurtig quadtree-baseret interpolationsalgoritme og et sprog til manipulation af disse oplysninger på flere masker. Det indeholder også en stærk mesh-oprettelse og et tilpasningsværktøj integreret problemfrit i FreeFem++ kaldet bamg.

FreeFem++ er skrevet i C++ og sproget FreeFem++ er et C++-idiom, der giver en blød indlæringskurve.

Denne pakke indeholder udviklingsfilerne for FreeFem++.

Please cite: Hecht, F.: New development in FreeFem++. J. Numer. Math. 20(3-4):251-265 (2012)
libfreefem-dev
Udviklingsbibliotek, hovedfiler og manualsider
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FreeFEM er et sprog tilpasset til partielle differentialligninger. Den underliggende metode der bruges er den finitte elementmetode. Dette værktøj er med succes blevet brugt som undervisningsværktøj og endda som et videnskabeligt værktøj.

libfrobby-dev
Beregninger med monomiale idealer - udviklingsværktøjer
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Frobby er et programsystem og projekt for beregninger med monomale idealer. Frobby er et frit program og er lavet som et skib for beregning og matematisk forskning vedrørende monomale idealer.

Den nuværende funktionalitet inkluderer Euler-karakteristik, Hilbertserier, maksimale standardmonomier, kombinatorisk optimering på monomiale idealer, primær nedbrydning, irreducible nedbrydning, Alexander dual, associerede primer, minimering og kryds af monomiale idealer såvel som beregning af Frobeniusproblemer (ved hjælp af 4ti2) med meget store tal. Frobby er også i stand til at oversætte mellem formater, som kan bruges sammen med flere forskellige computersystemer, såsom Macaulay 2, Monos, 4ti2, CoCoA4 og Singular. Således kan Frobby bruges med et hvilket som helst af disse systemer.

Denne pakke indeholder udviklingsværktøjerne.

libgemmlowp-dev
small self-contained low-precision GEMM library
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This is not a full linear algebra library, only a GEMM library: it only does general matrix multiplication ("GEMM").

Its performance goals differ from typical GEMM performance goals in the following ways: 1. It cares not only about speed, but also about minimizing power usage.

   It specifically cares about charge usage in mobile/embedded devices.
2. Most GEMMs are optimized primarily for large dense matrix sizes (>= 1000).
   It does care about large sizes, but it also cares specifically about the
   typically smaller matrix sizes encountered in various mobile applications.

Keep in mind (previous section) that gemmlowp itself is a pure-headers-only library.

libgf2x-dev
Rutiner for hurtig aritmetik i GF(2)[x] - udviklingsfiler
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GF2X er en C/C++-programpakke, der indeholder rutiner for hurtig aritmetik i GF(2)[x] (multiplikation, kvadrat, GCD) og søgning for irreduktibilitet/primitive trinomialer.

Denne pakke indeholder udviklingsfilerne for biblioteket.

libgivaro-dev
Aritmetik og algebraberegninger - udviklingsfiler
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Giovaro er et C++-bibliotek for aritmetik og algebraberegninger. Dets hovedfunktioner er implementeringer af den grundlæggende aritmetik for mange matematiske områder: Primes fields, Extensions Fields, Finite Fields, Finite Rings, Polynomials, Algebraic numbers, og Arbitrary precision integers og rationals (C++-omslag over gmp).

Givaro tilbyder også datastrukturer og skabelonklasser for manipulering af grundlæggende algebraobjekter såsom vektorer, matricer (dense, sparse, structured), univarate polynomialer (og derfor rekursive multivariate).

Biblioteket indeholder forskellige programmoduler og er fuldt kompatibelt med LinBox' lineære algebrabibliotek og Athapascanmiljøet, som tillader parallel programmering.

Denne pakke indeholder udviklingsfiler for Givaro.

libglpk-dev
lineært programmeringssæt - udviklingsfiler
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GLPK (GNU Linear Programming Kit) er lavet for løsning af lineær programmering (LP) i stor skala, blandet heltalsprogrammering (MIP) og andre relaterede problemstillinger. Det er et sæt af rutiner skrevet i ANSI C og organiseret i form af et bibliotek der kan kaldes.

Denne pakke indeholder statisk bibliotek, hoveder og udviklingsmanualsiderne for libvc.

libglpk-java
Javabinding til GNU Linear Programming Kit
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GLPK (GNU Linear Programming Kit) er lavet for løsning af lineær programmering (LP) i stor skala, blandet heltalsprogrammering (MIP) og andre relaterede problemstillinger. Det er et sæt af rutiner skrevet i ANSI C og organiseret i form af et bibliotek der kan kaldes.

GLPK understøtter GNU MathProg-sproget, som er et undersæt af AMPL-sproget. GLPK understøtter også standardformaterne MPS og LP.

Denne pakke indeholder Javabindingen for GLPK.

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libgnuplot-iostream-dev
C++ programming interface for gnuplot. Headers
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This interface allows gnuplot to be controlled from C++ and is designed to be the lowest hanging fruit. In other words, if you know how gnuplot works it should only take 30 seconds to learn this library. Basically it is just an iostream pipe to gnuplot with some extra functions for pushing data arrays and getting mouse clicks. Data sources include STL containers (eg. vector or map) and one or two dimensional Blitz++ arrays (of scalars or TinyVectors). Support for other data sources should be easy to add.

Basically there are two functions defined: send() sends arrays of data values (it is overloaded to do the right thing based upon what type of variable you pass) and getMouse() gets the position of a mouse click. Everything else is accomplished by sending commands manually to gnuplot via the iostream interface.

libgsl0-dev
GNU Scientific Library (GSL) - videnskabeligt GNU-bibliotek (udviklingspakke)
Maintainer: Dirk Eddelbuettel
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GNU Scientific Library (GSL) er en samling af rutiner for numerisk analyse. Rutinerne er skrevet fra bunden af i C af GSL-holdet, og præsenterer en moderne API for C-programmører, mens der er mulighed for at skrive omslag for sprog på meget højt niveau.

Denne pakke indeholder hovedfilerne, de statiske biblioteker og de symbolske henvisninger, som udviklere, der gør brug af GNU GSL vil behøve.

libhomfly-dev
Beregn homfly-polynomiumet for en henvisning - udviklingsfiler
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Libhomfly er et bibliotek til at beregne homfly-polynomiumet for knuder og henvisninger.

Det er baseret på et program skrevet af Robert J Jenkins Jr.

Denne pakke indeholder udviklingsfilerne for biblioteket.

libhypre-dev
High Performance Matrix Preconditioners - udviklingsfiler
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Hypre er et sæt af biblioteker til matrix-forkonditionering som hjælp i løsningen af store systemer af lineære ligninger.

Denne pakke indeholder teksthovederne og symbolske henvisninger til at udvikle programmer, der bruger hypre.

libigraph-dev
Bibliotek til at oprette og manipulere grafer - udviklingsfiler
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Igraph er et bibliotek til at oprette og manipulere grafer. Det er lavet så kraftigt (dvs. hurtigt) som muligt for at aktivere analyse af store grafer.

Denne pakke indeholder include-filerne og det statiske bibliotek for igraphs C-bibliotek.

libiml-dev
Integer Matrix Library, development files
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IML is a library for exact, dense linear algebra over the integers. IML contains algorithms for nonsingular rational system solving, computing the right nullspace of an integer matrix, and certified linear system solving.

In addition, IML provides some low level routines for a variety of mod p matrix operations: computing the row-echelon form, determinant, rank profile, and inverse of a mod p matrix. These mod p routines are not general purpose; they require that p satisfy some preconditions based on the dimension of the input matrix (usually p should be prime and should be no more than about 20 bits long).

This package contains development files for IML.

libitsol-dev
ITerative SOLvers - devel
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ITSOL is a library of iterative solvers for general sparse linear systems of equations. ITSOL can be viewed as an extension of the itsol module in SPARSKIT. It is written in C and offers a selection of recently developed preconditioners. The preconditioner suite includes:

  • ILUK (ILU preconditioner with level of fill)
  • ILUT (ILU preconditioner with threshold)
  • ILUC (Crout version of ILUT)
  • VBILUK (variable block preconditioner with level of fill - with automatic block detection)
  • VBILUT (variable block preconditioner with threshold - with automatic block detection)
  • ARMS (Algebraic Recursive Multilevel Solvers -- includes actually several methods - In particular the standard ARMS and the ddPQ version which uses nonsymmetric permutations)

Note that ITSOL is a scalar package. You may find parallel implementations of some of the preconditioners listed above in pARMS.

This package provides the itsol header files required to compile C/C++ programs that use ITSOL.

libjama-dev
C++ Linear Algebra Package
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JAMA/C++ was adapted for The Template Numerical Toolkit (TNT) from JAMA, a Java Matrix Library, developed jointly by the Mathworks and NIST. See http://math.nist.gov/javanumerics/jama for more information.

TNT is a collection of interfaces and reference implementations of numerical objects useful for scientific computing in C++. The toolkit defines interfaces for basic data structures, such as multidimensional arrays and sparse matrices, commonly used in numerical applications. The goal of this package is to provide reusable software components that address many of the portability and maintenance problems with C++ codes.

TNT provides a distinction between interfaces and implementations of TNT components. For example, there is a TNT interface for two-dimensional arrays which describes how individual elements are accessed and how certain information, such as the array dimensions, can be used in algorithms; however, there can be several implementations of such an interface: one that uses expression templates, or one that uses BLAS kernels, or another that is instrumented to provide debugging information. By specifying only the interface, applications codes may utilize such algorithms, while giving library developers the greatest flexibility in employing optimization or portability strategies.

libjgrapht0.6-java
mathematical graph theory library for Java
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JGraphT is a free Java graph library that provides mathematical graph theory objects and algorithms. JGraphT supports various types of graphs including:

  • directed and undirected graphs
  • graphs with weighted, unweighted, labeled or user-defined edges
  • various edge multiplicity options, including simple graphs, multigraphs and pseudographs
  • unmodifiable graphs: allow modules to provide "read-only" access to internal graphs
  • listenable graphs: allow external listeners to track modification events
  • subgraphs: graphs that are auto-updating subgraph views on other graphs
libjgrapht0.8-java
mathematical graph theory library for Java
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JGraphT is a free Java graph library that provides mathematical graph theory objects and algorithms. JGraphT supports various types of graphs including:

  • directed and undirected graphs;
  • graphs with weighted, unweighted, labeled or user-defined edges;
  • various edge multiplicity options, including simple graphs, multigraphs and pseudographs;
  • unmodifiable graphs: allow modules to provide "read-only" access to internal graphs;
  • listenable graphs: allow external listeners to track modification events;
  • subgraphs: graphs that are auto-updating subgraph views on other graphs;
  • all compositions of above graphs.

JGraphT is designed to be simple and type-safe (via Java generics): graph vertices can be of any objects: Strings, URLs, XML documents, even graphs themselves.

liblapack-dev
Bibliotek for lineære algebrarutiner 3 - statisk version
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LAPACK version 3.X er et omfattende FORTRAN-bibliotek, som udfører lineære algebra-operationer inklusiv matrix-inversioner, løsninger af mindste kvadrater for lineære sæt af ligninger, egenvektor-analyse, singulær-værdi dekomposition etc. Det er en meget omfattende og anerkendt pakke, som har mødt omfattende brug i det videnskabelige samfund.

Denne pakke indeholder en statisk version af biblioteket.

Please cite: E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney and D. Sorensen: LAPACK Users' Guide (1999)
liblbfgs-dev
L-BFGS solver for unconstrained nonlinear optimization problems
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Solves nonlinear optimization problems using the limited-memory BFGS method. The user specifies a callback C function that returns the value and gradients of the cost function at a particular operating point. This library estimates the Hessians from user input, and applies Newton's method iteratively to find a local minimum of the cost function. This is a small library, written in C with minimal dependencies.

This package contains development files

liblfunction-dev
development files for liblfunction
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liblfunction is a library for computing zeros and values of L-functions. Supported L-functions include the Riemann zeta function, the L-function of the Ramanujan delta function, and L-functions of elliptic curves defined over the rationals.

This package contains the development files for the library.

liblibleidenalg-dev
implementation of the Leiden algorithm in C++ - headers
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This package implements the Leiden algorithm in C++. It relies on igraph for it to function. Besides the relative flexibility of the implementation, it also scales well, and can be run on graphs of millions of nodes (as long as they can fit in memory). The core class is Optimiser which finds the optimal partition using the Leiden algorithm, which is an extension of the Louvain algorithm for a number of different methods. The methods currently implemented are (1) modularity, (2) Reichardt and Bornholdt's model using the configuration null model and the Erdös-Rényi null model, (3) the Constant Potts model (CPM), (4) Significance, and finally (5) Surprise. In addition, it supports multiplex partition optimisation allowing community detection on for example negative links or multiple time slices. There is the possibility of only partially optimising a partition, so that some community assignments remain fixed. It also provides some support for community detection on bipartite graphs.

This package contains the C++ development files. Most people will find it easier to work with the Python interface provided by python3-leidenalg.

Please cite: V. A. Traag, L. Waltman and N.-J. Van Eck: From Louvain to Leiden: guaranteeing well-connected communities. (eprint) Scientific reports 9(1):5233 (2018)
liblinbox-dev
Bibliotek for præcis lineær algebra - udviklingsfiler
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LinBox er et C++-skabelonbibliotek for præcis, højtydende lineær algebraberegning med tætte, tynde og strukturerede matricer over heltallene og over finitte felter.

Denne pakke indeholder udviklingsfilerne for LinBox.

liblip-dev
reliable interpolation of multivariate scattered data
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Lip interpolates scattered multivariate data with a Lipschitz function.

Methods of interpolation of multivariate scattered data are scarce. The programming library Lip implements a new method by G. Beliakov, which relies on building reliable lower and upper approximations of Lipschitz functions. If we assume that the function that we want to interpolate is Lipschitz-continuous, we can provide tight bounds on its values at any point, in the worse case scenario. Thus we obtain the interpolant, which approximates the unknown Lipschitz function f best in the worst case scenario. This translates into reliable learning of f, something that other methods cannot do (the error of approximation of most other methods can be infinitely large, depending on what f generated the data).

Lipschitz condition implies that the rate of change of the function is bounded:

|f(x)-f(y)|<M||x-y||.

It is easily interpreted as the largest slope of the function f. f needs not be differentiable.

The interpolant based on the Lipschitz properties of the function is piecewise linear, it possesses many useful properties, and it is shown that it is the best possible approximation to f in the worst case scenario. The value of the interpolant depends on the data points in the immediate neigbourhood of the point in question, and in this sense, the method is similar to the natural neighbour interpolation.

There are two methods of construction and evaluation of the interpolant. The explicit method processes all data points to find the neighbours of the point in question. It does not require any preprocessing, but the evaluation of the interpolant has linear complexity O(K) in terms of the number of data.

"Fast" method requires substantial preprocessing in the case of more than 3-4 variables, but then it provides O(log K) evaluation time, and thus is suitable for very large data sets (K of order of 500000) and modest dimension (n=1-4). For larger dimension, explicit method becomes practically more efficient. The class library Lip implements both fast and explicit methods.

liblrcalc-dev
library for calculating Littlewood-Richardson coefficients - development files
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The "Littlewood-Richardson Calculator" is a package of C programs for computing Littlewood-Richardson coefficients, providing fast calculation of single LR coefficients, products of Schur functions, and skew Schur functions. Its interface uses the same notation as the SF package of John Stembridge, to make it easier to use both packages at the same time.

This package contains the development files for the library.

libm4ri-dev
Method of the Four Russians Inversion library, development files
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M4RI is a library for fast arithmetic with dense matrices over F2. The name M4RI comes from the first implemented algorithm: The "Method of the Four Russians" inversion algorithm. This algorithm in turn is named after the "Method of the Four Russians" multiplication algorithm which is probably better referred to as Kronrod's method.

This package contains development files for libm4ri.

Please cite: Martin Albrecht and Gregory Bard: The M4RI Library -- Version 20130416. (2013)
libm4rie-dev
extended Method of the Four Russians Inversion library, development files
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M4RIE is a library for fast arithmetic with dense matrices over small finite fields of even characteristic. It uses the M4RI library, implementing the same operations over the finite field F2.

The name M4RI comes from the first implemented algorithm: The "Method of the Four Russians" inversion algorithm. This algorithm in turn is named after the "Method of the Four Russians" multiplication algorithm which is probably better referred to as Kronrod's method.

This package contains development files for the M4RIE library.

Please cite: Martin Albrecht: The M4RIE Library -- Version 20150908. (2015)
libmadlib-dev
Mesh-tilpasningsbibliotek
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Denne pakke indeholder udviklingsfilerne (teksthover, so og statiske biblioteker) for MAdLib.

MAdLib er et bibliotek, der udfører global knude-repositionering og mesh-tilpasning ved lokale mesh-ændringer på tetraedriske eller trekantede mesh'er. Den er designet til ofte at tilpasse mesh'en i forbigående beregninger. MAdLib er skrevet i C++.

Tilpasningsproceduren er drevet af to mål:

  • gør kantlængderne så tætte som mulige på en (ikkehomogen)

    foreskrevet længde

  • opretholde en tilfredsstillende elementkvalitet overalt.

MAdLib kan bruges i forbigående beregninger for at opretholde en tilfredsstillende elementkvalitet (flytning af grænser, flerfasestrømme med grænsefladesporing ...) eller/og at anvende selektive justeringer og forgrovninger (baseret på fejlestimeringer, grænsefladeregistrering: stød, frie overflader ...).

libmatheval-dev
GNU library for evaluating symbolic mathematical expressions (development)
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GNU libmatheval is a library comprising of several procedures that make it possible to create an in-memory tree representation of mathematical functions over single or multiple variables and later use this representation to evaluate functions for specified variable values, to create corresponding trees for function derivatives over specified variables or to print textual representations of in-memory trees to a specified string. The library supports arbitrary variable names in expressions, decimal constants, basic unary and binary operators and elementary mathematical functions.

This package contains the header files and static library.

libmathic-dev
C++ library for Groebner basis computation (developer tools)
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Mathic is a C++ library of fast data structures designed for use in Groebner basis computation. This includes data structures for ordering S-pairs, performing divisor queries and ordering polynomial terms during polynomial reduction.

This package contains the developer tools.

libmathicgb-dev
Compute Groebner bases (developer tools)
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Mathicgb is a program for computing Groebner basis and signature Groebner bases. Mathicgb is based on the fast data structures from mathic.

The paper "Practical Groebner Basis Computation" describes the algorithms in Mathicgb from a high level. It was presented at ISSAC 2012 and is available at http://arxiv.org/abs/1206.6940

This package contains the developer tools.

Please cite: Bjarke Hammersholt Roune and Michael Stillman: Practical Groebner Basis Computation. (eprint) Proceedings of the International Symposium on Symbolic and Algebraic Computation (2012)
libmatio-dev
MATLAB MAT I/O-filbibliotek - udviklingsfiler
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Matio er et C-bibliotek til læsning og skrivning af MATLAB MAT-filer.

Denne pakke indeholder udviklingsfilerne krævet for at kompilere programmer, så de kan anvende libmation API'en.

libmeschach-dev
Udviklingsfiler for meschach
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Dette er filer nødvendige for kompilering af programmer med meschachs lineære algebrabibliotek.

libmeshsdfilter-dev
Statisk/dynamisk filtrering for mesh-geometri
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Implementering af den normale mesh-filtreringsalgoritme fra artiklen: Juyong Zhang, Bailin Deng, Yang Hong, Yue Peng, Wenjie Qin, Ligang Liu. Static/Dynamic Filtering for Mesh Geometry. arXiv:1712.03574.

Dette er et bibliotek kun med teksthoveder. Denne pakke indeholder teksthovederne.

libmpfi-dev
Flerpræcisons kommatals intervalberegningsbibliotek - libdev
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Denne pakke tilbyder et C-bibliotek med funktioner for intervalberegninger indenfor aritmetik med arbitrær præcision.

Det grundlæggende princip med intervalaritmetik består i at omslutte hvert tal med et interval indeholdende tallet og værende repræsenteret af maskintal: for eksempel kan det lagres som sit nedre og øvre slutpunkter og disse grænser er maskintal, eller som et centrum og en radius, der er maskintal.

De aritmetiske operationer udvides for intervaloperander på en sådan måde, at det præcise resultat for operationen tilhører det beregnet interval.

Formålet med en intervalaritmetik med arbitrær præcision er på den ene side at få garanterede resultater, takker være intervalberegning, og på den anden side at få præcise resultater, takket være præcisionsaritmetik. Biblioteket MPFI er bygget på MPFR for at få fordel af de korrekte afrundinger tilbudt af MPFR. Andre fordele ved at bruge MPFR er dets evne til at kunne flyttes og overholdelse af IEEE 754-standarden for kommatals aritmetik.

Denne pakke tilbyder det statiske bibliotek og symbolske henvisninger krævet for udvikling.

libmpfrc++-dev
multi-precision floating point number class for C++
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MPFR C++ introduces C++ arbitrary precision numeric types; based on GNU MPFR --- Multiple Precision Floating-Point Reliable Library.

MPFR C++ makes possible to use MPFR calculations in the same simple way as calculations with numbers of built-in types double or float: all arithmetic and boolean operators (+, -, *, /, >, !=, etc.) are implemented through operator overloading technique; elementary mathematical functions (sqrt, pow, sin, cos, etc.) are supported.

libmps-dev
Multiprecision polynomial solver - udvikling
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En polynom rootfinder, der kan bestemme arbitrære præcisionstilnærmelser med garanterede inkluderings-radii. Programmet understøtter udnyttelse af polynomstrukturer såsom tæthed og tilladelse for polynom implicit defineret eller i noget af grundlaget uden for standarden.

Denne pakke indeholder udviklingsteksthovederne og biblioteket .so for MPSolve.

Please cite: Dario Andrea Bini and Giuseppe Fiorentino: Design, analysis, and implementation of a multiprecision polynomial rootfinder. Numerical Algorithms 23(2-3):127-123 (2000)
libmuparser-dev
Hurtigt fortolkerbibliotek for matematiske udtryk - udvikling
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MuParser er et højtydende matematisk fortolkerbibliotek, skrevet i ren C++. Det er baseret på omdannelse af udtryk til bytekode og forhåndsberegning af konstante dele.

Denne pakke indeholder udviklingsfilerne.

libnauty2-dev
Bibliotek for grafautomorfismer - udviklingspakke
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Nauty (No AUTomorphisms, Yes?) er et sæt af procedurer for beregning af automorfismegrupper for grafer og digrafer. Denne matematiske programpakke er udviklet af Brendan McKay og Adolfo Piperno: http://pallini.di.uniroma1.it

Nauty beregner grafinformation i form af et sæt af oprettere, størrelsen af gruppen og gruppens bane; kan også fremstille en kanonisk etiket. Programpakken nauty er skrevet i C og har en grænseflade for kommandolinjen, en samling af værktøjer for kommandolinjen og en Application Programming Interface (API).

Denne pakke indeholder teksthovedfilerne, statiske biblioteker og symbolske henvisninger, som udviklere, der bruger nauty-API'en skal anvende.

The package is enhanced by the following packages: nauty-doc
Please cite: B.D. McKay and A. Piperno: Practical graph isomorphism, II. Journal of Symbolic Computation 60(0):94 - 112 (2014)
libnewmat10-dev
matrix manipulations library (C++ headers files)
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Newmat library is intended for scientists and engineers who need to manipulate a variety of types of matrices using standard matrix operations. Emphasis is on the kind of operations needed in statistical calculations such as least squares, linear equation solve and eigenvalues.

Newmat supports matrix types: Matrix (rectangular matrix); UpperTriangularMatrix; LowerTriangularMatrix; DiagonalMatrix; SymmetricMatrix; BandMatrix; UpperBandMatrix; LowerBandMatrix; SymmetricBandMatrix; IdentityMatrix; RowVector; ColumnVector.

Only one element type (float or double) is supported (default is double).

The library includes the operations , +, -, =, +=, -=, Kronecker product, Schur product, concatenation, inverse, transpose, conversion between types, submatrix, determinant, Cholesky decomposition, QR triangularisation, singular value decomposition, eigenvalues of a symmetric matrix, sorting, fast Fourier and trig. transforms and printing.

libnewmat-dev contains static libraries, headers, and some documentation.

libnfft3-dev
development files for the NFFT library
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NFFT3 is a software library written in C for computing nonequispaced fast Fourier and related transformations. In detail, NFFT3 implements:

1) The nonequispaced fast Fourier transform (NFFT)

  • the forward transform (NFFT)
  • the adjoint transform (adjoint NFFT)

2) Generalisations of the NFFT

  • to arbitrary knots in time and frequency domain (NNFFT)
  • to the sphere S^2 (NFSFT)
  • to the hyperbolic cross (NSFFT)
  • to real-valued data, i.e. (co)sine transforms, (NFCT, NFST)
  • to the rotation group (NFSOFT)

3) Generalised inverses based on iterative methods, e.g. CGNR, CGNE

4) Applications in

  • medical imaging (i) magnetic resonance imaging (ii) computerised tomography
  • summation schemes (i) fast Gauss transform (FGT) (ii) singular kernels (iii) zonal kernels
  • polar FFT, discrete Radon transform, ridgelet transform

This package provides the development files for the NFFT library.

Please cite: J. Keiner, S. Kunis and D. Potts: Using NFFT 3 - a software library for various nonequispaced fast Fourier transforms. (eprint) ACM Trans. Math. Softw. 36(4):19-1-19-30 (2009)
libnglib-dev
Automatisk 3D-tetraedrisk mesh-generator - udviklingsfiler
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NETGEN er en automatisk 3D-tetraedrisk mesh-generator. Den accepterer inddata fra konstruktiv fast geometri (CSG) eller grænserepræsentation (BRep) fra STL-filformatet. Forbindelsen til en geometri-kerne giver mulighed for håndtering af IGES- og STEP-filer. NETGEN indeholder moduler for mesh-optimering og hierarkisk mesh-forfining.

Dnene pakke indeholder de statiske biblioteker og teksthovedfiler.

libopenblas-dev
Optimeret BLAS-bibliotek - lineær algebra (udv., meta)
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OpenBLAS er et optimeret BLAS-bibliotek baseret på GotoBLAS2 1.13 BSD-version.

På amd64, arm64, i386, loong64, ppc64el og s390x er alle kerner inkluderet i biblioteket og den der bedst matcher din processor vælges på kørselstidspunktet.

På andre arkitekturer, for maksimal ydelse, så kan du bygge OpenBLAS igen lokalt, se afsnittet: »Building an optimized OpenBLAS package for your machine« i README.Debian.

Denne pakke inkluderer de statiske biblioteker og symbolske henvisninger krævet for programudvikling.

libopenmesh-dev
Tools for representing and manipulating polygonal meshes
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OpenMesh is a generic and efficient data structure for representing and manipulating polygonal meshes. It was designed with the following goals in mind:

  • Flexibility: provide a basis for many different algorithms without the need for adaptation.

  • Efficiency: maximize time efficiency while keeping memory usage as low as possible.

  • Ease of use: wrap complex internal structure in an easy-to-use interface.

OpenMesh provides the following features:

  • Representation of arbitrary polygonal (the general case) and pure triangle meshes (providing more efficient, specialized algorithms)

  • Explicit representation of vertices, halfedges, edges and faces.

  • Fast neighborhood access, especially the one-ring neighborhood

  • Highly customizable

  • Choose your coordinate type (dimension and scalar type)

  • Attach user-defined elements/functions to the mesh elements.
  • Attach and check for attributes
  • Attach data at runtime using dynamic properties.

This package provides the development files library

libopenturns-dev
Teksthoveder og udviklingsbiblioteker for OpenTURNS
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OpenTURNS er et funktionsrigt og generisk værktøj til at behandle og kvantificere usikkerheder i numeriske simuleringer i design, optimering og kontrol. Den tillader både undersøgelser for sensitivitet og pålidelighed:

  • definering af resultaterne for rente- og beslutningskriterier
  • kvantificere og modellere kilden for usikkerheder
  • udbrede usikkerhed og/eller analysere følsomhed og
  • ranger kilderne for usikkerhed

Målrettede brugere er ingeniører, der ønsker at introducere den probabilistiske dimension i deres indtil nu deterministiske studier.

Denne pakke indeholder udviklingsfiler krævet for at bygge OpenTURNS-programmer.

libortools-dev
Google Optimization Tools - udviklingsfiler
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Google Optimization Tools (a.k.a., OR-Tools) er en hurtig og flytbar programpakke udviklet i åben kildekode og egnet til at løse kombinatoriske optimeringsproblemer.

Programpakken indeholder:

  • En begrænsningsprogrammeringsløser
  • En lineær programmeringsløser
  • Omslag omkring kommercielle og frie løsere, inklusive blandede heltalsløsere
  • Bin-pakning og knapsack-algoritmer
  • Algoritmer for Traveling Salesman Problem og Vehicle Routing Problem
  • Grafalgoritmer (korteste sti, min cost flow, max flow, lineær sum-tildeling)

OR-Tools er skrevet i C++, men tilbyder også omslag i Python, C# og Java.

Denne pakke indeholder udviklingsfilerne for biblioteket ortools.

libp4est-dev
Algoritmer for Parallel Adaptive Mesh Refinement - udviklingsfiler
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Programbiblioteket p4est aktiverer den dynamiske håndtering af en samling af adaptive octrees, praktisk kaldt for en en skov af octrees. P4est er designet til at fungere parallelt og skalere til hundredvis eller tusindvis af processorkerner.

Denne pakke indeholder udviklingsfilerne.

libparsington-java
Matematisk udtryksfortolker for Java
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Parsington er et infix til postfix-udtryksfortolker (infix til syntakstræ) for matematiske udtryk skrevet i Java. Det er et simpelt men smart, håndterer (der kan tilpasses) operatorer, funktioner, variabler og konstanter på en måde, der svarer til hvordan Javasproget selv understøtter.

libplb-dev
CFD solver based on the lattice Boltzmann method. Development files
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A software tool for classical CFD, particle-based models and complex physical interaction, Palabos offers a powerful environment for your fluid flow simulations.

Through the innovative matrix-based interface, setting up a massively parallel simulation or developing a new physical model has become simpler than ever. The package contains development files.

libpolybori-dev
polynomials over Boolean Rings, core development files
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The core of PolyBoRi is a C++ library, which provides high-level data types for Boolean polynomials and monomials, exponent vectors, as well as for the underlying polynomial rings and subsets of the powerset of the Boolean variables. As a unique approach, binary decision diagrams are used as internal storage type for polynomial structures. On top of this C++-library a Python interface is provided. This allows parsing of complex polynomial systems, as well as sophisticated and extendable strategies for Groebner base computation. PolyBoRi features a powerful reference implementation for Groebner basis computation.

This package contains the PolyBoRi core development files.

libpolybori-groebner-dev
development files for libpolybori-groebner
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The core of PolyBoRi is a C++ library, which provides high-level data types for Boolean polynomials and monomials, exponent vectors, as well as for the underlying polynomial rings and subsets of the powerset of the Boolean variables. As a unique approach, binary decision diagrams are used as internal storage type for polynomial structures. On top of this C++-library a Python interface is provided. This allows parsing of complex polynomial systems, as well as sophisticated and extendable strategies for Groebner base computation. PolyBoRi features a powerful reference implementation for Groebner basis computation.

This package contains the development files for libpolybori-groebner.

libprimesieve-dev
Hurtig primtalstæller - C/C++-bibliotek - libdev
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Primesieve er et frit program og C/C++-bibliotek, som opretter primer via en optimeret sieve af Eratosthenes-implementering. Primesieve kan oprette primer og primer-K-tupletter op til næsten 2^64.

Se http://primesieve.org/ for yderligere information.

Denne pakke tilbyder det statiske bibliotek og symbolske henvisninger krævet for udvikling.

The package is enhanced by the following packages: primesieve-doc
libpynac-dev
Engine for symbolic geometric calculus for Python (development files)
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Pynac (which stands for "Python is Not a CAS") is a fork of GiNaC that replaces the dependency of GiNaC on CLN (Class Library for Numbers, C++) by a dependency on Python.

This is the library for symbolic geometric calculus in Python, as used in SAGE (http://www.sagemath.org)

This package contains the development files for the library.

libqcustomplot-dev
Qt C++-kontrol for plot - teksthoveder
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Plotbiblioteket QCustomPlot fokuserer på at lave udgivelser i høj kvalitet med 2D-plot, grafer og diagrammer samt tilbyde høj ydelse for realtids visualiseringsprogrammer. Pakken indeholder en teksthovedfil.

Denne pakke indeholder udviklingsfilerne til at bygge med Qt5 og Qt6.

libqd-dev
Double-double and quad double types in C++ and F90
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This package supports both a double-double datatype (approx. 32 decimal digits) and a quad-double datatype (approx. 64 decimal digits). The computational library is written in C++. Both C++ and Fortran-90 high-level language interfaces are provided to permit one to convert an existing C++ or Fortran-90 program to use the library with only minor changes to the source code.

libqhull-dev
Beregn konvekse hylstre og relaterede strukturer - udviklingsfiler
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Qhull beregner konvekse hylstre, Delaunay-triangulationer, halvrumsskæringer omkring et punkt, Voronoi-diagrammer, »fjerneste punkt«-Delaunay-trianguleringer og »fjerneste punkt«-Voronoi-diagrammer. Programmet kører i 2-d, 3-d, 4-d og højere dimensioner.

Denne pakke indeholder filerne krævet for udvikling (teksthoveder og biblioteker) samt biblioteksdokumentationen i HTML-format.

libqsopt-ex-dev
Præcis lineær programmeringsløser - udviklingsfiler
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QSopt-ex er en implementering af en simplex-baseret algoritme, som returnerer præcise rationelle løsninger, har fordel af hastigheden for flydende kommatalsberegninger og forsøger at minimere operationerne udført i rationel aritmetik.

Denne pakke indeholder teksthovedfilerne og det statiske bibliotek.

Please cite: David L Applegate, William Cook, Sanjeeb Dash and Daniel G Espinoza: Exact solutions to linear programming problems. Operations Research Letters 35(6):693-699 (2007)
libquadrule-dev
Development files for quadrule
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QUADRULE is a C library which sets up a variety of quadrature rules, used to approximate the integral of a function over various domains.

QUADRULE returns the abscissas and weights for a variety of one dimensional quadrature rules for approximating the integral of a function. The best rule is generally Gauss-Legendre quadrature, but other rules offer special features, including the ability to handle certain weight functions, to approximate an integral on an infinite integration region, or to estimate the approximation error.

This package provides everything needed for compiling C programs that call quadrule functions.

libranlip-dev
Opretter vilkårlige variater med flervariate Lipschitz-tæthed
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RanLip opretter vilkårlige variater fra en arbitrær flervariate Lipschitz- tæthed.

Mens oprettelse af vilkårlige tal fra en række distributioner er implementeret i mange pakker (såsom GSL library http://www.gnu.org/software/gsl/ og UNURAN library http://statistik.wu-wien.ac.at/unuran/), så er oprettelsen af vilkårlige variate med en arbitrær distribution, specielt i tilfældet med flervariate en meget udfordrende opgave. RanLip er en oprettelsesmetode for vilkårlige variater med arbitrær Lipschitz-fortsættende tætheder, som virker i de univariate og flervariate tilfælde, hvis dimensionen ikke er meget stor (lad os sige 3-10 variabler).

Lipschitz-betingelsen implicerer at ændringshastigheden for funktionen (i dette tilfælde, tæthedens sandsynlighed p(x)) er bundet:

|p(x)-p(y)|<M||x-y||.

Fra denne betingelse kan vi etablere et overordnet estimat for tætheden, den såkaldte hatte-funktion h(x)>=p(x), med brug af talværdier fra p(x) på enkelte punkter. Jo flere værdier vi anvender, des bedre bliver hatte- funktionen. Metoden til godkendelse/afvisning fungerer dernæst således: opret en tilfældig variat X med tætheden h(x); opret en uafhængig uniform på (0,1) det tilfældige tal Z; hvis p(x)<=Z h(X), så returnér X, hvis ikke så gentag alle ovenstående trin.

RanLip konstruerer en stykvis konstant hat-funktion for den krævede tæthed p(x) ved at underopdele domænet for p (en n-dimensionel rektangel) i mange mindre rektangler, og beregner den øvre grænse på p(x) indenfor hver af disse rektangler, og bruger denne øvre grænse som værdien for hat- funktionen.

libratpoints-dev
Udviklingsfiler for libratpoints
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Dette program forsøger at finde alle rationelle punkter indenfor en angivet højdegrænse på en hyperelliptisk kurve på en meget effektiv måde, ved at bruge en optimeret kvadratisk sieve-algoritme.

Denne pakke indeholder udviklingsfilerne for biblioteket.

librw-dev
Compute rank-width and rank-decompositions of graphs (development)
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Compute rank-width and rank-decompositions of graphs. It is based on ideas from "Computing rank-width exactly" by Sang-il Oum, "Sopra una formula numerica" by Ernesto Pascal, "Generation of a Vector from the Lexicographical Index" by B.P. Buckles and M. Lybanon and "Fast additions on masked integers" by Michael D. Adams and David S. Wise.

This package contains the development files for the library.

libsaclib-dev
library of C programs for computer algebra (development)
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SACLIB is a library of C programs for computer algebra derived from the SAC2 system. It includes algorithms for list processing, arithmetic of integers, rational numbers, and polynomials, modular arithmetic, linear algebra, and more.

This package contains the header files and static library.

libscscp1-dev
IMCCE SCSCP C Library -- development package
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SCSCP stands for Symbolic Computation Software Composibility Protocol. This protocol is developed by the European project SCIEnce - Symbolic Computation Infrastructure for Europe: http://www.symbolic-computing.org

This C/C++ library, which is developed by the French Institute of Celestial Mechanics and Ephemeridesis Calculus (IMCCE) consists of an implementation of the SCSCP protocol. It provides an Application Programming Interface (API) to develop client and server applications to communicate with systems that support the SCSCP protocol, mainly Computer Algebra Systems (CAS).

This package contains the header files, static libraries and symbolic links that developers using the SCSCP library developed at IMCCE will need.

libscythestat-dev
Teksthovedfiler for Scythes statistiske bibliotek
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Filer tilbudt af denne pakke er krævet for at udvikle nye programmer med biblioteket Scythe. Det er ikke et binært bibliotek forbundet med disse teksthoveder, det vil sige at alle skabelonkoder er indeholdt og ingen yderligere afhængigheder er krævet ved kørselstid.

Scythes statistiske bibliotek er et open source C++-bibliotek for statistisk beregning. Det inkluderer en programpakke af matriksberegningsfunktioner, en programpakke af pseudo-vilkårlige taloprettelser og en programpakke af numeriske optimeringer. Programmer skrevet med brug af Scythe er generelt meget hurtigere end programmer skrevet i almindeligvis brugte fortolkede sprog, såsom R, Matlab og GAUSS; kan kompileres på alle systemer med en GNU GCC compiler (og måske med andre C++-compilere). Et af de primære designmål for Scytheudviklerne har været at gøre brugen nem for programmører, som ikke er eksperter i C++. Nem brug tilbydes via tre primære mekanismer: (1) operatør og funktionsoverindlæsning, (2) adskillelige præfabrikerede redskabsfunktioner og (3) præcis dokumentation og eksempelprogrammer. Yderligere er Scythe meget fleksibel og kan udvides på alle områder, da kildekoden er tilgængelig for alle brugere.

libsleef-dev
SLEEF Vectorized Math Library (development)
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SLEEF stands for SIMD Library for Evaluating Elementary Functions. It implements vectorized versions of all C99 real floating point math functions. It can utilize SIMD instructions of modern processors. SLEEF is designed to fully utilize SIMD computation by reducing the use of conditional branches and scatter/gather memory access.

The library contains subroutines for all C99 real FP math functions in double precision and single precision. SLEEF also includes subroutines for discrete Fourier transform(DFT).

This package ships development files.

libsopt-dev
Development package for Sparse OPTimisation library
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SOPT is a C package to perform Sparse OPTimisation. It solves a variety of sparse regularisation problems, including the SARA algorithm.

SOPT is largely provided to support the PURIFY package, a companion open-source code to perform radio interferometric imaging, also written by the authors of SOPT.

This package contains the development files.

Please cite: L. Pratley, J. D. McEwen, M. d'Avezac, R. E. Carrillo, A. Onose and Y. Wiaux: Robust sparse image reconstruction of radio interferometric observations with PURIFY. (eprint) Mon. Not. Roy. Astron. Soc., submitted (2016)
libsparskit-dev
basic tool-kit for sparse matrix computations - devel
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SPARSKIT a basic tool-kit for sparse matrix computations. Sparskit is a general purpose FORTRAN-77 library for sparse matrix computations. It has been gathered over several years and includes some of the most useful tools for developing and implementing sparse matrix techniques, particularly for iterative solvers. If you need a simple routine for doing a sparse matrix operation (e.g., adding two sparse matrices, or reordering a sparse matrix) it is likely to be available in SPARSKIT. SPARSKIT also contains most of the iterative accelerators and a number of efficient preconditioners.

libspfft-dev
Sparse 3D FFT library with MPI, OpenMP, CUDA / ROCm support (development files)
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SpFFT was originally intended for transforms of data with spherical cutoff in frequency domain, as required by some computational material science codes. For distributed computations, SpFFT uses a slab decomposition in space domain and pencil decomposition in frequency domain (all sparse data within a pencil must be on one rank). If desired, the library can be compiled without any parallelization (MPI, OpenMP, CUDA / ROCm).

This package contains development files.

libspooles-dev
SPOOLES SParse Object Oriented Linear Equations Solver - udviklingsfiler
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SPOOLES er et bibliotek for løsning af tynde reelle og komplekse lineære systemer af ligninger, skrevet i sproget C, der bruger objektorienteret design.

Denne pakke indeholder udviklingsfilerne for SPOOLES.

libstopt-dev
Bibliotek for stokastiske optimeringsproblemer - udviklingspakke
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STochastic OPTimization library (StOpt) forsøger at tilbyde værktøjer i C++ for løsning af nogle stokastiske optimeringsproblemer mødt i finans eller i industri. Forskellige metoder er tilgængelige:

  • dynamiske programmeringsmetoder baseret på Monte Carlo med regressioner (global, lokal, kerne og rumlig regressor), for underliggende tilstande der følger nogle ukontrollerede stokastiske differentialligninger
  • dynamisk programmering med en repræsentation af usikkerheder med et træ: overgangsproblemer løses her af nogle diskretiseringer af kommandoerne, opløsning af LP med klip-repræsentation af Bellmann- værdierne
  • Semi-Lagrangian-metoder for Hamilton Jacobi Bellman-generelle ligninger for underliggende tilstande, der følger nogle kontrollerede stokastiske differentialligninger
  • Stochastic Dual Dynamic Programming-metoder til at håndtere stokastiske lagerhåndteringsmetoder i høj dimension. Usikkerheder kan angives af Monte Carlo og kan repræsenteres af en tilstand med et finitte antal værdier (træ)
  • Nogle indlejringsmetoder for forgreninger til at løse meget høje dimensionelle og ikkelineære PDE'er og nogle der fremgår af HJK- problemer. Derudover tilbydes nogle metoder til at bruge Monte Carlo til at løse nogle problemer hvor den underliggende stokastiske tilstand er kontrolleret. For hver metode tilbydes en ramme for at optimere problemet og så simulere det ud fra prøven via de optimale kommandoer tidligere beregnet. Paralleliseringsmetoder baseret på OpenMP og MPI tilbydes i denne ramme hvilket gør løsning af høj dimensionelle problemer på klynger mulig. Biblioteket bør være fleksibelt nok til at blive brugt på forskellige niveauer afhængig af brugerens indsats.

Denne pakke indeholder teksthovederne og de statiske biblioteker (libstopt-mpi der gør brug af flere samtidige tråde mulig og libstopt der ikke gør).

The package is enhanced by the following packages: stopt-examples
libstxxl-dev
Development libraries for STXXL
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STXXL provides an STL replacement using an abstraction layer to storage devices to allow for the optimal layout of data structures. This allows for multi-terabyte datasets to be held and manipulated in standard C++ data structures, whilst abstracting the complexity of managing this behaviour efficiently. STXXL utilises multi-disk I/O to speed up I/O bound calculations. STXXL has been developed at the University of Karlsruhe.

Development libraries for STXXL, required for building programs that utilise the STXXL library

libsuitesparse-dev
libraries for sparse matrices computations (development files)
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Suitesparse is a collection of libraries for computations involving sparse matrices. This package includes the following libraries:

AMD approximate minimum degree ordering

CAMD symmetric approximate minimum degree

BTF permutation to block triangular form (beta)

COLAMD column approximate minimum degree ordering

CCOLAMD constrained column approximate minimum degree ordering

CHOLMOD sparse Cholesky factorization

CXSparse a concise sparse matrix package

KLU sparse LU factorization, primarily for circuit simulation

LDL a simple LDL' factorization

UMFPACK sparse LU factorization

ParU unsymmetric multifrontal multithreaded sparse LU factorization

RBio read/write sparse matrices in Rutherford/Boeing format

SPQR sparse QR factorization

Mongoose graph partitioning library that can quickly compute edge cuts

SPEX solves sparse linear systems in exact arithmetic

SuiteSparse_config configuration routines for all the above packages.

This package contains the static libraries and header files.

libsuperlu-dev
Direkte løsning for store, sparse (tynde) systemer af lineære ligninger
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Udviklingsfiler for SuperLU.

SuperLU er et alment bibliotek for direkte løsning af store, sparse (tynde), ikkesymmetriske systemer med lineære ligninger på højtydende maskiner.

Biblioteket er skrevet i C og kan kaldes fra enten C eller Fortran. Biblioteksrutinerne vil udføre en LU-dekomposition med delvis pivotoprettelse og triangulær systemløsninger via fremadrettet og bagudrettet substitution. LU-faktoriseringsrutinerne kan håndtere ikkefirkantede matricer men de triangulære løsere udføres kun for firkantmatricer. Matrixkolonnerne kan forudbestilles (før faktorering) enten via biblioteks- eller brugerangivne rutiner. Denne forhåndsordning for sparsity (tynd) er fuldstændig adskilt fra faktoriseringen. Arbejdspræcisions iterative raffinementunderrutiner tilbydes for forbedret baglæns stabilitet. Rutiner tilbydes også til få systemet i ligevægt, estimere betingelsesantallet, beregne den relative tilbagerettet fejlbackward og estimere fejlgrænser for de raffinerede løsninger.

Denne pakke indeholder teksthovedet og udviklingsfiler til at bygge mod SuperLU.

libsuperlu-dist-dev
Highly distributed solution of sparse linear equations
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SuperLU is a general purpose library for the direct solution of large, sparse, nonsymmetric systems of linear equations. The library is written in C and is callable from either C or Fortran program. It uses MPI, OpenMP and CUDA to support various forms of parallelism. It supports both real and complex datatypes, both single and double precision, and 64-bit integer indexing. The library routines performs an LU decomposition with partial pivoting and triangular system solves through forward and back substitution. The LU factorization routines can handle non-square matrices but the triangular solves are performed only for square matrices. The matrix columns may be preordered (before factorization) either through library or user supplied routines. This preordering for sparsity is completely separate from the factorization. Working precision iterative refinement subroutines are provided for improved backward stability. Routines are also provided to equilibrate the system, estimate the condition number, calculate the relative backward error, and estimate error bounds for the refined solutions.

SuperLU_DIST implements the algorithms for distributed memory, targetting highly parallel distributed memory hybrid systems. The numerical factorization routines are already implemented for hybrid systems with multiple GPUs. Further work will be needed to implement the other phases of the algorithms on the hybrid systems and to enhance strong scaling to extreme scale.

The main library is libsuperlu_dist.so but a fortran wrapper library is also provided as libsuperlu_dist_fortran.so

This package provides development files for building client applications against superlu-dist.

libsymmetrica2-dev
Overgangspakke
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Dette er en overgangspakke. Den kan fjernes igen.

libtachyon-dev
Parallel/Multiprocessor Ray Tracing Software - udviklingsfiler
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Tachyon er et portabelt, højtydende parallel-strålesporingssystem, der understøtter MPI og multitrådede implementeringer. Tachyon er opbygget som et kaldeligt bibliotek, der kan benyttes med de inkluderede demo-programmer eller med dine egne programmer. Distributionen inkluderer også en simpel grænseflade til filfortolkning af scener, der læser nogle få forskellige formater.

Tachyon implementerer alle de grundlæggende geometriske primitiver, så som trekanter, planer, sfærer, cylindere, osv. Nogle af målene med udviklingen af Tachyon var at gøre det hurtigt og give god parallelisering. Dette er det som adskiller det fra mere funktionskomplette programmer som POV-Ray, Rayshade og øvrige. Tachyon understøtter tilstrækkeligt mange funktioner til at udgøre et fornemt alternativ til langsommere programmer for krævende animations- og videnskabelige visualiseringsopgaver. Med tiden vil Tachyon naturligvis indarbejde flere funktioner, men fortsat med et fokus på optegningsydelse.

The package is enhanced by the following packages: tachyon-doc
libtnt-dev
interface for scientific computing in C++
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The Template Numerical Toolkit (TNT) is a collection of interfaces and reference implementations of numerical objects useful for scientific computing in C++. The toolkit defines interfaces for basic data structures, such as multidimensional arrays and sparse matrices, commonly used in numerical applications. The goal of this package is to provide reusable software components that address many of the portability and maintenance problems with C++ codes.

TNT provides a distinction between interfaces and implementations of TNT components. For example, there is a TNT interface for two-dimensional arrays which describes how individual elements are accessed and how certain information, such as the array dimensions, can be used in algorithms; however, there can be several implementations of such an interface: one that uses expression templates, or one that uses BLAS kernels, or another that is instrumented to provide debugging information. By specifying only the interface, applications codes may utilize such algorithms, while giving library developers the greatest flexibility in employing optimization or portability strategies.

libug-dev
software framework for finite element methods (development files)
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UG is a flexible software tool for the numerical solution of partial differential equations on unstructured meshes, with a focus on multigrid methods. It has a very powerful grid manager, which supports two- and three-dimensional grids with mixed element types. The grids can be adaptively refinement using either classic red/green-refinement, or pure red refinement with hanging nodes. All this is fully parallelized and can run on large distributed machines.

The version in this package has been built with the necessary flags for use with the Dune software system.

This package contains the development files.

libvdt-dev
vectorised math library - development files
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This is vectorised math library

  • a collection of fast and inline implementations of mathematical functions
  • the functions can be used in autovectorised loops
  • double and single precision implementations are available
  • no overhead present, no intrinsics used

A scalar (T(T)) and array signature (void(const unsigned int, T, T)) are provided. Born and developed at CERN, it is used, among the others, by LHC experiments and the Geant4 simulation toolkit.

Much of the VDT code is inspired by the well known Cephes mathematical library.

This package contains the development files for vdt.

libviennacl-dev
Scientific computing library written in C++ based on OpenCL
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The Vienna Computing Library (ViennaCL) is a scientific computing library written in C++ and based on OpenCL. It allows simple, high-level access to the vast computing resources available on parallel architectures such as GPUs and is primarily focused on common linear algebra operations (BLAS levels 1, 2 and 3) and the solution of large systems of equations by means of iterative methods with optional preconditioner.

ViennaCL is header-only with no binary library and projects using it only need to link against a conforming OpenCL implementation.

libxsmm-dev
Bibliotek for matrix-operationer og dyb lærings-primitiver
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LIBXSMM er et bibliotek målrettet Intel Architecture for specialiserede tætte og tynde matrixoperationer og dyb lærings-primitiver.

Denne pakke indeholder værktøjerne, de statiske biblioteker og teksthovedfilerne.

libzn-poly-dev
Udviklingsfiler for libz-poly
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Zn_poly er et C-bibliotek for polynomium aritmetik i Z/nZ[x], hvor n er et modulus som passer i en ikke tildelt long.

Denne pakke indeholder udviklingsfilerne for biblioteket.

minpack-dev
nonlinear equations and nonlinear least squares static library
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Minpack includes software for solving nonlinear equations and nonlinear least squares problems. Five algorithmic paths each include a core subroutine and an easy-to-use driver. The algorithms proceed either from an analytic specification of the Jacobian matrix or directly from the problem functions. The paths include facilities for systems of equations with a banded Jacobian matrix, for least squares problems with a large amount of data, and for checking the consistency of the Jacobian matrix with the functions.

This package provides the headers, man pages, examples, and static library.

petsc-dev
Virtuel pakke der afhænger af den seneste PETSc-udviklingspakke
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PETSc er »Portable Extensible Toolkit for Scientific Computation«, en programpakke for datastrukturer og rutiner for skalerbar (parallel) løsning af videnskabelige programmer modelleret af partielle differentialligninger. Programpakken indarbejder MPI-standarden for alle besked-videresendelse kommunikation. Flere eksempler på videnskabelige programmer samt forskellige artikler og fremlæggelser demonstrerer funktionerne i PETSc-bibliotekerne.

Denne metapakke installerer libpetsc-real-dev, der altid vil afhænge af den seneste version af PETSC med reel talunderstøttelse. Så hvis du installerer den, vil du få opgraderinger automatisk.

python3-asteval
minimalistic evaluator of Python 3 expression using ast module
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ASTEVAL is a safe(ish) evaluator of Python expressions and statements, using Python's ast module. The idea is to provide a simple, safe, and robust miniature mathematical language that can handle user-input. The emphasis here is on mathematical expressions, and so many functions from numpy are imported and used if available.

Many Python lanquage constructs are supported by default, These include slicing, subscripting, list comprehension, conditionals (if-elif-else blocks and if expressions), flow control (for loops, while loops, and try-except-finally blocks). All data are Python objects, and built-in data structures (dictionaries, tuple, lists, numpy arrays, strings) are fully supported by default.

Many of the standard builtin Python functions are available, as are all mathemetical functions from the math module. If the numpy module is installed, many of its functions will also be available. Users can define and run their own functions within the confines of the limitations of asteval.

There are several absences and differences with Python, and asteval is by no means an attempt to reproduce Python with its own ast module. Some of the most important differences and absences are:

  • Variable and function symbol names are held in a simple symbol table (a single dictionary), giving a flat namespace.
  • creating classes is not supported.
  • importing modules is not supported.
  • function decorators, yield, lambda, exec, and eval are not supported.
  • files can only be opened in read-only mode.

In addition, accessing many internal methods and classes of objects is forbidden in order to strengthen asteval against malicious user code. .

This package installs the library for Python 3.

python3-basix
Finite Element Basis Function Definition Runtime Library - Python 3
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Denne pakke beregner FE-basisfunktioner og afledninger for de følgende elementer:

  • Lagrange (interval, triangle, tetrahedron, prism, pyramid, quadrilateral, hexahedron)
  • Nédélec (triangle, tetrahedron)
  • Nédélec Second Kind (triangle, tetrahedron)
  • Raviart-Thomas (triangle, tetrahedron)
  • Regge (triangle, tetrahedron)
  • Crouzeix-Raviart (triangle, tetrahedron)

Beregner quadrature-regler på forskellige celletyper

Tilbyder referencetopologi og geometri for referenceceller af hver type.

Pythonomslag tilbudt med pybind11.

Denne pakke installerer biblioteket for Python 3.

python3-brial
polynomials over Boolean Rings, Python 3 module
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The core of BRiAl is a C++ library, which provides high-level data types for Boolean polynomials and monomials, exponent vectors, as well as for the underlying polynomial rings and subsets of the powerset of the Boolean variables. As a unique approach, binary decision diagrams are used as internal storage type for polynomial structures. On top of this C++-library a Python interface is provided. This allows parsing of complex polynomial systems, as well as sophisticated and extendable strategies for Groebner base computation. BRiAl features a powerful reference implementation for Groebner basis computation.

This package contains the BRiAl Python 3 module.

python3-bumps
Datatilpasning og bayesiansk usikkerhedsmodeller for inverse problemer - Python 3
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Bumps er et sæt af rutiner til kurvetilpasning og usikkerhedsanalyse fra et bayesiansk perspektiv. Udover traditionelle optimeringsprogrammer, der søger efter det bedste minimum, de kan finde i søgeområdet, tilbyder bumps usikkerhedsanalyse, der undersøger alle gyldige minima og finder konfidensintervaller på parametre baseret på usikkerheden i de målte værdier. Bumps er blevet brugt for systemer med op til 100 parametre med snævre begrænsninger på parametrene. Fuld usikkerhedsanalyse kræver hundredvis af tusindvis af funktionsevalueringer, som kun er muligt for billige funktioner, systemer med mange processorer eller masser af tålmodighed.

Bumps indeholder flere traditionelle lokale optimeringsprogrammer såsom Nelder-Mead simplex, BFGS og differentiel evolution. Bumps usikkerhedsanalyse bruger Markov chain Monte Carlo til at udforske parameterområdet. Selvom programmet blev oprettet til kurvetilpasningsproblemet, kan Bumps udforske enhver funktion for sandsynlighedstæthed, såsom dem defineret af PyMC. Bumps usikkerhedsanalyse fungerer specielt godt med korrelerede parametre.

Bumps kan bruges som et bibliotek i dine egne programmer, eller som en ramme til at tilpasse, med en fuld grafisk brugerflade til at håndtere dine modeller.

Denne pakke installerer biblioteket for Python 3.

python3-cryptominisat
Pythonbindinger for CryptoMiniSat SAT-løseren - Python 3
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CryptoMiniSat er en moderne, flertrådet, forenklende SAT-løser.

Denne pakke tilbyder modulet pcryptosat til at bruge CryptoMiniSat fra Python 3. Se https://github.com/msoos/cryptominisat#python-usage for eksempler.

python3-cvxopt
Python 3-pakke for konveks optimering
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CVXOPT er en Pythonpakke for konveks optimering. Programmet inkluderer

  • Pythonklasser for lagring og manipulering af tætte og sparsomme matricer.
  • En grænseflade til det meste af den dobbeltpræcise reelle og komplekse BLAS.
  • En grænseflade til den tætte lineære ligningsløser og eigenvalue-rutiner fra LAPACK.
  • Grænseflader til de løse LU- og Cholesky-løsere fra UMFPACK og CHOLMOD.
  • Rutiner for løsning af konvekse optimeringsproblemer, en grænseflade til den lineære programmeringsløser i GLPK, og grænseflader til den lineære og kvadratiske programmeringsløsere i MOSEK.
  • Et modelværktøj for specifikation af konvekse, segmenterede optimeringsproblemer.

Denne pakke indeholder Python 3-modulet.

python3-cypari2
Pythongrænseflade til PARI - Python 3
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En Pythongrænseflade til talteoribiblioteket libpari.

Denne pakke installerer biblioteket for Python 3.

python3-cython-blis
Hurtige BLAS-lignende operationer fra Python og Cython, uden besværet - Python 3
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Dette arkiv tilbyder Blis' lineære algebrarutiner som en egen Python C-udvidelse. I øjeblikket understøttes kun kørsel via en enkelt tråd, da det er bedst for vores arbejder (ML-inferens).

Denne pakke installerer biblioteket for Python 3.

python3-dmsh
High-quality 2D mesh generator based on distmesh
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dmsh: "The worst mesh generator you'll ever use."

Inspired by distmesh, dmsh is slow, requires a lot of memory, and isn't terribly robust either.

On the plus side, it's got a usable interface, is pure Python (and hence easily installable on any system), and if it works, it produces pretty high-quality meshes.

Combined with optimesh, dmsh produces the highest-quality 2D meshes in the west.

Example capabilities:

  • Primitives
  • circle, rectangle, polygon
  • halfspace
  • Combinations
  • difference
  • nonconstant edge length
  • union
  • intersection
  • Transformations
  • rotation, translation, scaling
  • Local refinement
python3-dolfin
Grundlæggende Pythongrænseflade for DOLFIN - Python 3
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DOLFIN er Python- og C++-grænsefladen for FEniCS-projektet for den automatiserede løsning for differentialligninger, der tilbyder et konsistent PSE (Problem Solving Environment) for løsning af ordinære og delvise differentialligninger. De vigtigste funktioner er en simpel, konsistent og intuitiv objektorienteret API; automatisk og effektiv evaluering af sæsonformer; automatisk og effektiv samling af lineære systemer; og understøttelse af generelle familier af finitte elementer.

Dette er den grundlæggende pakke, der afhænger af specifikke dolfin-kompileringer. Som standard bygges versionen mod den foretrukne version af PETSc i /usr/lib/petsc (med 32-bit indeksering, men den alternative version (64-bit PETSc) kan vælges ved at angive miljøvariablen PETSC_DIR.

Dette er den forældede version af DOLFIN, du kan eventuelt installere næste generation python3-dolfinx (DOLFIN-X) i stedet for.

python3-dolfinx
Pythongrænseflade for DOLFIN - Python 3
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DOLFIN er Python- og C++-grænsefladen for FEniCS-projektet for den automatiserede løsning for differentialligninger, der tilbyder et konsistent PSE (Problem Solving Environment) for løsning af ordinære og delvise differentialligninger. De vigtigste funktioner er en simpel, konsistent og intuitiv objektorienteret API; automatisk og effektiv evaluering af sæsonformer; automatisk og effektiv samling af lineære systemer; og understøttelse af generelle familier af finitte elementer.

Dette er næste generations version af libdolfinx-dev (DOLFIN-X). Den forældede version af DOLFIN tilbydes af python3-dolfin.

Dette er en grundlægende pakke, der afhænger af dolfinx-pakkerne med reelle eller komplekse tal-understøttelse. Som standard vælges versionen bygget mod den foretrukne version af PETSc i /usr/lib/petsc, men den alternative version kan vælges ved at angive miljøvariablen PETSC_DIR.

python3-dtcwt
Dual-Tree Complex Wavelet Transform-bibliotek for Python 3
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Biblioteket dtcwt tilbyder en Pythonimplementering af 1, 2 og 3-D dual-tree complex wavelet transform sammen med associerede algoritmer. Indeholder en ren CPU-implementering, der gør brug af NumPy sammen med en accelereret GPU-implementering, der bruger OpenCL.

Denne pakke tilbyder modulerne for Python 3.

python3-ffc
Kompiler for finitte elementers variationsformer - Python 3
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FEniCS Form Compiler FFC tilbyder moderne, automatisk og effektiv evaluering af generelle flerlineære former (variationsformuleringer) for FEnicS. FFC fungerer som formevalueringssystem for DOLFIN, men kan også bruges til at kompilere forme for andres systemer.

FFC fungerer som en kompiler for flerlineære forme ved at oprette kode (C eller C++) til at evaluere af en flerlineær form givet i matematisk notation. Denne nye fremgangsmåde til at forme evaluering gør det muligt at kombinere generelle forhold med effektivitet; formen kan gives i matematisk notation og den oprettede kode er lige så effektiv som håndoptimeret kode.

Denne pakke installerer det forældede FFC-bibliotek for Python 3.

Du kan overveje at installere python3-ffcx i stedet, så får du next-generation FFC-X.

python3-ffcx
Next-gen-kompiler for finitte elementers variationsformer - Python 3
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FEniCS Form Compiler FFC tilbyder moderne, automatisk og effektiv evaluering af generelle flerlineære former (variationsformuleringer) for FEnicS. FFC fungerer som formevalueringssystem for DOLFIN, men kan også bruges til at kompilere forme for andres systemer.

FFC fungerer som en kompiler for flerlineære forme ved at oprette kode (C eller C++) til at evaluere af en flerlineær form givet i matematisk notation. Denne nye fremgangsmåde til at forme evaluering gør det muligt at kombinere generelle forhold med effektivitet; formen kan gives i matematisk notation og den oprettede kode er lige så effektiv som håndoptimeret kode.

Denne pakke installerer next-generation FFC-X-biblioteket for Python 3.

python3-gimmik
generator of matrix multiplication kernels (Python 3)
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GiMMiK is a Python based kernel generator for matrix multiplication kernels for various accelerator platforms. For small operator matrices the generated kernels are capable of outperfoming the state-of-the-art general matrix multiplication routines such as cuBLAS GEMM or clBLAS GEMM.

This package provides the library for Python 3.

python3-gpyfft
Omslag for OpenCL FFT-biblioteket clFFT - Python 3
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Dette Pythonomslag er designet til tæt integration med PyOpenCL. Det består af et Cython-baseret omslag på lavt niveau med en grænseflade svarende til det underliggende C-bibliotek. Oven på dette tilbydes en grænseflade på højt niveau til arbejde på data indeholdt i instanser af pyopencl.array.Array, en numpy arbejdslignende tabelklasse for GPU-beregninger. Grænsefladen har fået lidt inspiration fra pyFFTW. For detaljer om grænsefladen se fft.py.

Denne pakke installerer biblioteket for Python 3.

python3-linop
Linear mathematical operators in Python (Python 3)
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Linop provides a standalone set of classes to abstract the creation and management of linear operators, to be used as a common basis for the development of advanced mathematical frameworks.

This is the Python 3 version of the package.

python3-ltfatpy
Large Time-Frequency Toolbox (LTFAT) i Python
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Pakken ltfatpy er en delvis Pythonport af Large Time/Frequency Analysis Toolbox (LTFAT), en MATLAB®/Octave-værktøjskasse for arbejde med tid-frekvens analyse og syntese.

Pakken bruges både til undervisning og beregning.

Pakken tilbyder en stort antal lineære transformeringer inklusive Gabor-transformeringer sammen med rutiner til at konstruere vinduer (filterprototyper) og rutiner for manipulering af koefficienter.

Denne pakke tilbyder modulerne for Python 3.

python3-meshplex
Hurtige værktøjer for simplex-mesher - Python 3
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Beregn alle slags interessante punkter, områder og diskenheder i triangulære og tetraedriske mesher, med fokus på effektivitet. Nyttig i mange kontekster, f.eks. i beregningerne finite-element og finite-volume.

Denne pakke installerer biblioteket for Python 3.

python3-meshzoo
Simple geometriske mesh'er - Python 3
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Når der oprettes mesh'er for FEM/FVM-beregninger, så er din geometri nogle gange så simpel, så du ikke skal bruge en kompleks mesh-opretter (som pygmsh, MeshPy, mshr, pygalmesh, dmsh), men noget simpelt og hurtigt, der gør brug af strukturen for domænet.

Eksempler: Triangle, Rectangle, Regular polygon, Disk, Möbius strip, Sphere (overflade), Ball (fast), Tube, Cube.

Denne pakke installerer modulet for Python 3.

python3-morfessor
unsupervised and semi-supervised morphological segmentation
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Morfessor is a tool for unsupervised and semi-supervised morphological segmentation.

Morfessor that takes as input a corpus of unannotated text and produces a segmentation of the word forms observed in the text. This version implements the Morfessor Baseline method and its semi-supervised extension.

python3-mpi4py-fft
Pythonpakke til at beregne Fast Fourier Transforms (FFT'er) med MPI
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Mpi4py-fft er en Pythonpakke til at beregne Fast Fourier Transforms (FFT'er). Store tabeller er distribueret og kommunikation håndteres under kølerhjelmen af MPI for Python (mpi4py). For at distribuere store tabeller bruger vi en ny og fuldstændig generisk algoritme, der tillader at ethvert indeks for en flerdimensionel tabel distribueres. Vi kan distribuere bare et indeks (en slab-dekomposition), to indekssæt (blyants dekomposition) eller endda flere for tabeller i højere dimensioner.

I mpi4py-fft er der også inkluderet en Pythongrænseflade til FFTW-biblioteket. Denne grænseflade kan bruges uden MPI, meget lig pyfftw, og endda for reel til reel tranformeringer, såsom diskrete cosine eller sine-tranformeringer.

Pakken tilbyder en Pythongrænseflade til FFTW, men med MPI-parallelisering. Dette aktiverer stærk skalering testet med 16.000 kerner, eller svag skalering testet med 2.000 kerner. Algoritmen er dokumenteret på https://arxiv.org/abs/1804.09536.

Denne pakke installerer biblioteket for Python 3.

python3-numexpr
Hurtig numerisk tabeludtryksevaluering for Python 3 og NumPy
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Pakken numexpr evaluerer multiple-operator tabeludtryk mange gange hurtigere end NumPy kan. Pakken accepterer udtrykket som en streng, analyserer det, omskriver det mere effektivt og kompilerer det til hurtigere Pythonkode løbende. Det er det næstbedste i forhold til at skrive udtrykket direkte i C og kompilere det med en specialiseret just-in-time-kompiler (JIT), dvs. det kræver ikke en kompiler på kørselstidspunktet.

python3-numpy
Fast array facility to the Python language (Python 3)
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NumPy contains a powerful N-dimensional array object, sophisticated (broadcasting) functions, tools for integrating C/C++ and Fortran code, and useful linear algebra, Fourier transform, and random number capabilities.

This package installs NumPy for Python 3.

The package is enhanced by the following packages: python3-shapely
python3-openturns
Python 3-brugerflade for OpenTURNS (a.k.a. TUI)
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OpenTURNS er et funktionsrigt og generisk værktøj til at behandle og kvantificere usikkerheder i numeriske simuleringer i design, optimering og kontrol. Den tillader både undersøgelser for sensitivitet og pålidelighed:

  • definering af resultaterne for rente- og beslutningskriterier
  • kvantificere og modellere kilden for usikkerheder
  • udbrede usikkerhed og/eller analysere følsomhed og
  • ranger kilderne for usikkerhed

Målrettede brugere er ingeniører, der ønsker at introducere den probabilistiske dimension i deres indtil nu deterministiske studier.

 .
Denne pakke tilbyder Python 3-bindingerne til biblioteket.
python3-optlang
sympy based mathematical programming language (Python 3)
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Optlang is a Python package for solving mathematical optimization problems, i.e. maximizing or minimizing an objective function over a set of variables subject to a number of constraints. Optlang provides a common interface to a series of optimization tools, so different solver backends can be changed in a transparent way. Optlang's object-oriented API takes advantage of the symbolic math library sympy to allow objective functions and constraints to be easily formulated from symbolic expressions of variables.

This package installs the library for Python 3.

python3-ortools
Google Optimization Tools (Python library)
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This package contains the Python bindings for OR-Tools.

Google Optimization Tools (a.k.a., OR-Tools) is an open-source, fast and portable software suite for solving combinatorial optimization problems.

The suite contains:

  • A constraint programming solver;
  • A linear programming solver;
  • Wrappers around commercial and other open source solvers, including mixed integer solvers;
  • Bin packing and knapsack algorithms;
  • Algorithms for the Traveling Salesman Problem and Vehicle Routing Problem;
  • Graph algorithms (shortest paths, min cost flow, max flow, linear sum assignment).

OR-Tools is written in C++, but also provide wrappers in Python, C# and Java.

This package contains the Python 3 bindings of ortools.

python3-petsc4py
Python 3-bindinger for PETSc-biblioteker
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PETSc er en programpakke med datastrukturer og rutiner for den skalerbare (parallelle) løsning for videnskabelige programmer opbygget efter delvise differentialligninger. Den anvender MPI-standarden for alle besked-omdirigering kommunikation.

Dette er en grundpakke, der afhænger af Python 3 petsc4py-pakken med enten understøttelse for reelle tal eller komplekse tal. Tilbyder stien til petsc4py for systemets PETSc-standardversion angivet i /usr/lib/petsc. Eksporter miljøvariablen PETSC_DIR for at bruge andre versioner.

python3-pyemd
Pythonbibliotek for Earth Mover's Distance med NumPy
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PyEMD er et Pythonomslag for Ofir Pele og Michael Wermans implementering af Earth Mover's Distance, så det kan bruges med NumPy. Hvis du bruger denne kode, så citer venligst artiklerne i README.md.

python3-pyfftw
Pythonic wrapper around FFTW - Python 3
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Pythonic wrapper around FFTW, the speedy FFT library. The ultimate aim is to present a unified interface for all the possible transforms that FFTW can perform.

Both the complex DFT and the real DFT are supported, as well as arbitrary axes of abitrary shaped and strided arrays, which makes it almost feature equivalent to standard and real FFT functions of numpy.fft (indeed, it supports the clongdouble dtype which numpy.fft does not).

pyFFTW is BSD-licensed and should not be confused with python-fftw, a GPL-licensed python module with the same aim of providing python bindings to FFTW3. Or python3-gpyfft, which provides bindings to the OpenCL FFT library clFFT.

This package provides the Python 3 bindings.

python3-pynfft
Pythonbindinger til NFFT3-biblioteket - Python 3
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Denne pakke tilbyder Pythonbindingerne til NFFT-biblioteket, nyttig til udførelse af Fouriertranformeringer på ikke-ensartede samplede data med effektiv hastighed. Bindingerne blev oprettet via Cython og fjerner oprettelsen og kørslen af NFFT-planer via brug af klasser.

Denne pakke tilbyder Python 3-versionen af bindingerne.

python3-pyviennacl
Python bindings for ViennaCL linear algebra library (for Python 3)
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The Vienna Computing Library (ViennaCL) is a free open-source scientific computing library written in C++ and provides CUDA, OpenCL and OpenMP computing backends. It enables simple, high-level access to the vast computing resources available on parallel architectures such as GPUs and is primarily focused on common linear algebra operations (BLAS levels 1, 2 and 3) and the solution of large systems of equations by means of iterative methods with optional preconditioners.

This package provides the Python 3 bindings for ViennaCL, PyViennaCL, letting you harness the computational power of ViennaCL in the context of the Python scientific ecosystem.

python3-slepc4py
Python 3 bindings for SLEPc libraries
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SLEPc is the Scalable Library for Eigenvalue Problem Computations.

It is based on PETSc and employs the MPI standard for all message-passing communication.

This is a base package that depends on (Recommends) the python3 slepc4py package with either real or complex number support. It provides the path to slepc4py for the system's default SLEPc version set in /usr/lib/slepc. Export environment variable SLEPC_DIR to use other versions.

python3-stopt
Bibliotek for stokastiske optimeringsproblemer - Python 3-bindinger
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Biblioteket STochastic OPTimization (StOpt) forsøger at tilbyde værktøjer i C++ for løsning af nogle stokastiske optimeringsproblemer mødt indenfor finans eller i industrien. Python 3-bindinger tilbydes også for at gøre det muligt at bruge C++-biblioteket i Pythonkode.

The package is enhanced by the following packages: stopt-examples
python3-swiglpk
Rene Pythonbindinger for GNU Linear Programming Kit - Python 3
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Swiglpk tilbyder bare rene SWIG-bindinger til det underliggende C-bibliotek for GNU Linear Programming Kit. Det er ikke et omslag på højt niveau for GLPK.

Denne pakke installerer biblioteket for Python 3.

python3-ufl
Ensartet sprog for formularkompilere - Python 3
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UFL (Unified Form Language) er et forenet sprog til definition af variationsmæssige former for finitte elementdiskretisering. Mere præcist, det definerer en fast grænseflade for valg af finitte elementrum og definerer udtryk for svage former i en notation tæt på matematisk notation. Formkompilerne FFC og SyFi bruger UFL som deres grænseflade for slutbrugerne, fremstillende UFC-implementeringer som deres resultat.

Denne pakke installerer biblioteket for Python 3.

sfftw-dev
bibliotek for beregning af Fast Fourier Transforms
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Dette bibliotek beregner FFT'er i en eller flere dimensioner. Den er ekstremt hurtig. Denne pakke indeholder det statistiske lænkede bibliotek og hovedfilerne.

slepc-dev
Scalable Library for Eigenvalue Problem Computations
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SLEPc er et programbibliotek for løsning af sparsomme eigenvalue-problemer i stor skala på parallelle computere. Det er en udvidelse af PETSc og kan anvendes til enten standard eller generaliserede eigenproblemer, med reelle eller komplekse aritmetik. Det kan også bruges til at beregne en delvis SVD af en stor, sparsom, rektangulær matrix.

Dette er en afhængighedspakke, som afhænger af den seneste version af SLEPc.

trilinos-all-dev
Objektorienteret ramme for problemer i stor skala - udviklingsfiler (ALL)
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Trilinosprojektet er en indsats til at udvikle algoritmer og aktivere teknologier i en objektorienteret programramme til løsning af komplekse flerfysik ingeniør- og videnskabelige problemer i stor skala. En unik designfunktion hos Trilios er dets fokus på pakker.

Denne pakke afhænger af alle udviklingspakkerne for Trilinos.

Please cite: Michael Heroux, Roscoe Bartlett, Vicki Howle Robert Hoekstra, Jonathan Hu, Tamara Kolda, Richard Lehoucq, Kevin Long, Roger Pawlowski, Eric Phipps, Andrew Salinger, Heidi Thornquist, Ray Tuminaro, James Willenbring and Alan Williams: An Overview of Trilinos (SAND2003-2927) (2003)
veccore-dev
Simpelt abstraktionslag oven på andre vectorization-biblioteker
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Biblioteket tilbyder en af arkitekturen uafhængig API til at udtrykke vektoroperationer på data. Kode skrevet med denne API kan så senders til en af flere motorer såsom Vc, eller en scalar-implementering. Dette gør, at man kan få den bedste ydelse på platforme understøttet af Vc uden at miste flytbarhed for arkitekturer uden understøttelse såsom ARM og PowerPC, for eksempel, hvor scalar-motoren kan bruges i stedet uden at kræve ændringer i brugerkode.

Please cite: Link to publication

Official Debian packages with lower relevance

cfortran
Teksthovedfil der tillader at Fortran-rutiner kaldes i C/C++
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Cfortran.h er en nem og funktionsrig bro mellem C og FORTRAN. Den tilbyder en fuldstændig gennemsigtig og maskinuafhængig grænseflade mellem C- og FORTRAN-rutiner (= underrutiner og/eller funktioner) og globale data, dvs. strukturer og COMMON-blokke.

fflas-ffpack-dev-doc
FFLAS-FFPACK-udviklerdokumentation
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FFLAS-FFPACK består i oprettelsen af et sæt af rutiner, givet de samme værktøjer som et sæt af klassiske Basic Linear Algebra Subroutines, men fungerende over endelige felter. På samme måde laves også nogle andre rutiner på højere niveau (såsom dem i LAPACK).

Denne pakke tilbyder udviklerdokumentation for FFLAS-FFPACK.

Please cite: Jean-Guillaume Dumas, Pascal Giorgi and Clément Pernet: Dense Linear Algebra over Word-Size Prime Fields: the FFLAS and FFPACK Packages. ACM Trans. on Mathematical Software (TOMS) 35(3):1-42 (2008)
fflas-ffpack-user-doc
FFLAS-FFPACK-brugerdokumentation
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FFLAS-FFPACK består i oprettelsen af et sæt af rutiner, givet de samme værktøjer som et sæt af klassiske Basic Linear Algebra Subroutines, men fungerende over endelige felter. På samme måde laves også nogle andre rutiner på højere niveau (såsom dem i LAPACK).

Denne pakke tilbyder brugerdokumentation for FFLAS-FFPACK.

Please cite: Jean-Guillaume Dumas, Pascal Giorgi and Clément Pernet: Dense Linear Algebra over Word-Size Prime Fields: the FFLAS and FFPACK Packages. ACM Trans. on Mathematical Software (TOMS) 35(3):1-42 (2008)
givaro-dev-doc
Udviklerdokumentation for Givaro - forældet
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Giovaro er et C++-bibliotek for aritmetik og algebraberegninger. Dets hovedfunktioner er implementeringer af den grundlæggende aritmetik for mange matematiske områder: Primes fields, Extensions Fields, Finite Fields, Finite Rings, Polynomials, Algebraic numbers, og Arbitrary precision integers og rationals (C++-omslag over gmp).

Givaro tilbyder også datastrukturer og skabelonklasser for manipulering af grundlæggende algebraobjekter såsom vektorer, matricer (dense, sparse, structured), univarate polynomialer (og derfor rekursive multivariate).

Biblioteket indeholder forskellige programmoduler og er fuldt kompatibelt med LinBox' lineære algebrabibliotek og Athapascanmiljøet, som tillader parallel programmering.

Dette er en tom overgangspakke, da Debian ikke længere indeholder udviklerdokumentation for Givaro. Denne »givaro-dev«-pakke kan fjernes fra systemet, når ingen andre pakker afhænger af den.

givaro-user-doc
Brugerdokumentation for Givaro - forældet
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Giovaro er et C++-bibliotek for aritmetik og algebraberegninger. Dets hovedfunktioner er implementeringer af den grundlæggende aritmetik for mange matematiske områder: Primes fields, Extensions Fields, Finite Fields, Finite Rings, Polynomials, Algebraic numbers, og Arbitrary precision integers og rationals (C++-omslag over gmp).

Givaro tilbyder også datastrukturer og skabelonklasser for manipulering af grundlæggende algebraobjekter såsom vektorer, matricer (dense, sparse, structured), univarate polynomialer (og derfor rekursive multivariate).

Biblioteket indeholder forskellige programmoduler og er fuldt kompatibelt med LinBox' lineære algebrabibliotek og Athapascanmiljøet, som tillader parallel programmering.

Dette er en tom overgangspakke. Pakken »givaro-user-doc« er blevet omdøbt til »libgivar-doc«, som automatisk er blevet installeret. Denne pakke »givaro-user-doc« kan fjernes fra systemet igen, når ingen andre pakker afhænger af den.

jsurf-alggeo
Javabaseret visualiseringsbibliotek for reel algebraisk geometri
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Jsurf er et Javabibliotek til at visualisere reel algebraisk geometri. Det er og kan bruges som visualiseringskomponenten i Javaprogrammer.

Udover biblioteket tilbyder denne pakke også et simpelt skriptdrevet værktøj til tegning af reelle algebraiske geometriske overflader, samt nogle skripteksempler. (Dette simple værktøj svarer til, men er ikke kompatibelt med, værktøjet surf-alggeo distribueret i pakken surf-alggeo).

Jsurf er et frit program distribueret under Apache 2.0-licensen.

libbdd-dev
Binary decision-diagram library (development)
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Binary decision diagrams (BDDs) are space-efficient encodings of boolean expressions or dynamic truth tables, used in eg. model checking. BuDDy is an efficient BDD library with all the standard BDD operations, dynamic reordering of variables, automated garbage collection, a C++ interface with automatic reference counting, and more.

libbdd-dev is the BuDDy development package containing a static library and the include files needed for building applications using BuDDy.

libdune-functions-dev
toolbox for solving PDEs -- interface for functions (development files)
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DUNE, the Distributed and Unified Numerics Environment is a modular toolbox for solving partial differential equations (PDEs) with grid-based methods. It supports the easy implementation of methods like Finite Elements (FE), Finite Volumes (FV), and also Finite Differences (FD).

dune-functions provides an interface for global finite element functions.

This package contains the development files.

libdune-grid-glue-dev
toolbox for solving PDEs -- compute couplings between grids (development files)
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DUNE, the Distributed and Unified Numerics Environment is a modular toolbox for solving partial differential equations (PDEs) with grid-based methods. It supports the easy implementation of methods like Finite Elements (FE), Finite Volumes (FV), and also Finite Differences (FD).

dune-grid-glue provides infrastructure for the coupling of two unrelated DUNE grids. The coupling may be overlapping or nonoverlapping, conforming or nonconforming. The two grids are not required to be of the same type, and they may even be of different dimensions.

This package contains the development files.

libdune-istl-dev
Værktøjskasse til at løse PDE'er - iterative løsere - udviklingsfiler
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DUNE, Distributed and Unified Numerics Environment er en modulopbygget værktøjskasse til at løse delvise differentialligninger (PDE'er) med gitterbaserede metoder. Den understøtter den nemme implementering af metoder såsom Finite Elements (FE), Finite Volumes (FV) og også Finite Differences (FD).

Denne pakke indeholder udviklingsfilerne for den iterative løsers skabelonbibliotek.

libdune-localfunctions-dev
Værktøjskasse til at løse PDE'er - lokalt grundlag - udviklingsfiler
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DUNE, Distributed and Unified Numerics Environment er en modulopbygget værktøjskasse til at løse delvise differentialligninger (PDE'er) med gitterbaserede metoder. Den understøtter den nemme implementering af metoder såsom Finite Elements (FE), Finite Volumes (FV) og også Finite Differences (FD).

Denne pakke indeholder udviklingsfilerne for grænsefladen for det lokale grundlag og layout for graderne af frihed.

libdune-pdelab-dev
Værktøjskasse til at løse PDE'er - discretization-modul - udviklingsfiler
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DUNE-PDELab er et nyt alment discretization-modul for en bred vifte af discretization-metoder. Det tillader hurtige prototyper til at implementere discretizationer og løsere for systemer af PDE'er baseret på DUNE.

Denne pakke indeholder udviklingsfilerne.

libdune-typetree-dev
Værktøjskasse til at løse PDE'er - tastet træskabelonbibliotek - udviklingsfiler
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DUNE, Distributed and Unified Numerics Environment er en modulopbygget værktøjskasse til at løse delvise differentialligninger (PDE'er) med gitterbaserede metoder. Den understøtter den nemme implementering af metoder såsom Finite Elements (FE), Finite Volumes (FV) og også Finite Differences (FD).

Denne pakke indeholder udviklingsfilerne for det tastede træskabelonbibliotek.

libdune-uggrid-dev
software framework for finite element methods (development files)
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UG is a flexible software tool for the numerical solution of partial differential equations on unstructured meshes, with a focus on multigrid methods. It has a very powerful grid manager, which supports two- and three-dimensional grids with mixed element types. The grids can be adaptively refinement using either classic red/green-refinement, or pure red refinement with hanging nodes. All this is fully parallelized and can run on large distributed machines.

The version in this package has been built with the necessary flags for use with the Dune software system.

This package contains the development files.

libitpp-dev
C++ library of signal processing and communication routines: Headers
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IT++ is a C++ library of mathematical, signal processing and communication classes and functions. Its main use is in simulation of communication systems and for performing research in the area of communications. The kernel of the library consists of generic vector and matrix classes, and a set of accompanying routines. Such a kernel makes IT++ similar to MATLAB or GNU Octave .

This package has the development libraries and headers for IT++.

libjlapack-java
LAPACK numerical subroutines translated from their Fortran 77 source
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The package provides the LAPACK numerical subroutines translated from their subset Fortran 77 source into class files, executable by the Java Virtual Machine (JVM) and for use by Java programmers.

This makes it possible for Java applications or applets, distributed on the World Wide Web to use established legacy numerical code that was originally written in Fortran. The translation is accomplished using a special purpose Fortran-to-Java (source-to-source) compiler.

liblrs-dev
Pakke til at optælle toppunkter og ekstreme stråler - udviklingsfil
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Et konveks polyeder er sættet af punkter der tilfredsstiller en begrænset familie af lineære uligheder. Studiet af toppunkter og ekstreme stråler for sådanne systemer er vigtigt og brugbart i f.eks. matematik og optimering. I en fælles fortolkning svarer det at finde toppunkter på en (bundet) polyeder til at finde det konvekse skrog (bundede uligheder) på et (arbitrær dimensionelt) punktsæt. Lrs (omvendt leksikografisk søgning) har to vigtige funktioner som kan være meget vigtige for bestemte programmer: Det virker i præcis aritmetik, og det forbruger hukommelse proportionalt med inddata, uanset hvor stort uddata er.

Denne pakke indeholder de valgfrie teksthoveder og en symbolsk henvisning til biblioteket uden versionsnummer, nyttig for udviklere.

libmtj-java
Java library for developing numerical applications
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MTJ is designed to be used as a library for developing numerical applications, both for small and large scale computations. The library is based on BLAS and LAPACK for its dense and structured sparse computations, and on the Templates project for unstructured sparse operations.

MTJ uses the netlib-java project as a backend, which can be set up to use machine-optimised BLAS libraries for improved performance of dense matrix operations, falling back to a pure Java implementation. This ensures perfect portability, while allowing for improved performance in a production environment.

libnetlib-java
collection of mission-critical software components for linear algebra systems
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Netlib is a collection of mission-critical software components for linear algebra systems (i.e. working with vectors or matrices).

Netlib libraries are written in C, Fortran or optimised assembly code. This package provides a Java translation but it does not take advantage of optimised system libraries.

libqrupdate-dev
Hurtige opdateringer af QR- og Colesky-dekompositioner - statisk bibliotek
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Qrupdate er et Fortranbibliotek for QR- og Cholesky-dekompositioner. Det bruges hovedsagelig af Octave.

Denne pakke indeholder det statiske bibliotek.

libsollya-dev
Bibliotek for sikker kodeudvikling med kommatal - udv.bibl.
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Sollya er både et værktøjsmiljø og et bibliotek for sikker kodeudvikling med kommatal. Det tilbyder en nem måde at udføre beregninger med mange aritmetiske præcisionsinterval. Det er specielt målerettet den automatiske implementering af matematiske kommatalsbiblioteker.

Oprindelig blev Sollya lavet mere specifikt til folk, der implementerer numeriske funktioner i matematiske biblioteker (f.eks. exp, arccos, tanh, etc.). Siden da har værktøjet udviklet sig og er nu blevet interessant nok ikke kun for udviklere af matematiske biblioteker, men også for alle som ønsker at udføre numeriske eksperimenter i et miljø, som er sikkert med hensyn til afrundingsfejl.

Denne pakke tilbyder det statiske bibliotek, symbolske henvisninger og teksthovedfiler krævet for udvikling.

The package is enhanced by the following packages: sollya-doc
libtet1.5-dev
Quality Tetrahedral Mesh Generator
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TetGen generates the Delaunay tetrahedralization, Voronoi diagram, and convex hull for three-dimensional point sets, generates the constrained Delaunay tetrahedralizations and quality tetrahedral meshes for three-dimensional domains with piecewise linear boundary.

This package provides header file.

openturns-examples
Eksempler på OpenTURNS-funktionalitet
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OpenTURNS er et funktionsrigt og generisk værktøj til at behandle og kvantificere usikkerheder i numeriske simuleringer i design, optimering og kontrol. Den tillader både undersøgelser for sensitivitet og pålidelighed:

  • definering af resultaterne for rente- og beslutningskriterier
  • kvantificere og modellere kilden for usikkerheder
  • udbrede usikkerhed og/eller analysere følsomhed og
  • ranger kilderne for usikkerhed

OpenTURNS er et stort projekt med mere end 300 C++-klasser, som bruger velkendte og understøttede programmer såsom R for statistiske metoder og BLAS/LAPACK for den lineære algebra.

Denne pakke tilbyder eksempler, som er skrevet enten i C++ eller i Python.

De bruges primært som valideringstest for hele platformen, men de kan også ses som øvelser for begyndere.

python3-msgpack-numpy
Serialiser numpy-tabeller via msgpack
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Denne pakke tilbyder kodnings- og afkodningsrutiner, der aktiverer serialiseringen og deserialiseringen af numeriske og tabeldatatyper tilbudt af numpy via det det meget effektive msgpack-format. Serialisering af Pythons komplekse datatyper er også understøttet.

python3-numpy-groupies
performs operations on/with subsets of n-dim arrays
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This package consists of a couple of optimised tools for doing things that can roughly be considered "group-indexing operations". The most prominent tool is aggregate.

aggregate takes an array of values, and an array giving the group number for each of those values. It then returns the sum (or mean, or std, or any, ...etc.) of the values in each group. You have probably come across this idea before, using matlab accumarray, pandas groupby, or generally MapReduce algorithms and histograms.

There are different implementations of aggregate provided, based on plain numpy, numba and weave. Performance is a main concern, and so far this implementation comfortably beats similar implementations in other packages (check the benchmarks).

python3-threadpoolctl
Pythonhjælpere for gængse trådbiblioteker (BLAS, OpenMP)
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Thread-pool Controls tilbyder Pythonhjælpere til at begrænse antallet af tråde brugt i trådpuljer for gængse standardbiblioteker anvendt i videnskabelig beregning og datavidenskab (f.eks. BLAS og OpenMP).

Finkontrol af den underliggende trådpuljestørrelse kan være nyttig i arbejdsforløb, der involverer indlejret parallelisme for at afbøde problemstillinger med overtegning.

sollya
Bibliotek for sikker kodeudvikling med kommatal - værktøjer
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Sollya er både et værktøjsmiljø og et bibliotek for sikker kodeudvikling med kommatal. Det tilbyder en nem måde at udføre beregninger med mange aritmetiske præcisionsinterval. Det er specielt målerettet den automatiske implementering af matematiske kommatalsbiblioteker.

Oprindelig blev Sollya lavet mere specifikt til folk, der implementerer numeriske funktioner i matematiske biblioteker (f.eks. exp, arccos, tanh, etc.). Siden da har værktøjet udviklet sig og er nu blevet interessant nok ikke kun for udviklere af matematiske biblioteker, men også for alle som ønsker at udføre numeriske eksperimenter i et miljø, som er sikkert med hensyn til afrundingsfejl.

Denne pakke tilbyder kommandolinjeværktøjet Sollya.

The package is enhanced by the following packages: libsollya-dev sollya-doc

Debian packages in contrib or non-free

libamgcl-dev
Solves large sparse linear systems with algebraic multigrid method
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AMG is one of the most effective iterative methods for solution of equation systems arising, for example, from discretizing PDEs on unstructured grids. The method can be used as a black-box solver for various computational problems, since it does not require any information about the underlying geometry. AMG is often used not as a standalone solver but as a preconditioner within an iterative solver (e.g. Conjugate Gradients, BiCGStab, or GMRES).

AMGCL builds the AMG hierarchy on a CPU and then transfers it to one of the provided backends. This allows for transparent acceleration of the solution phase with help of OpenCL, CUDA, or OpenMP technologies. Users may provide their own backends which enables tight integration between AMGCL and the user code.

AMG is a header-only C++ library, with the headers provided by this package.

libmagma-dev
Matrix Algebra on GPU and Multicore Architectures (dev)
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The MAGMA project aims to develop a dense linear algebra library similar to LAPACK but for heterogeneous/hybrid architectures, starting with current "Multicore+GPU" systems.

The MAGMA research is based on the idea that, to address the complex challenges of the emerging hybrid environments, optimal software solutions will themselves have to hybridize, combining the strengths of different algorithms within a single framework. Building on this idea, we aim to design linear algebra algorithms and frameworks for hybrid manycore and GPU systems that can enable applications to fully exploit the power that each of the hybrid components offers.

This package contains the headers and the static libraries.

libmkl-full-dev
Intel® Math Kernel Library (Intel® MKL) (Full Version Dev)
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Intel® Math Kernel Library (Intel® MKL) is a computing math library of highly optimized, extensively threaded routines for applications that require maximum performance. The library provides Fortran and C programming language interfaces. Intel® MKL C language interfaces can be called from applications written in either C or C++, as well as in any other language that can reference a C interface.

Intel® MKL provides comprehensive functionality support in these major areas of computation:

  • BLAS (level 1, 2, and 3) and LAPACK linear algebra routines, offering vector, vector-matrix, and matrix-matrix operations.
  • ScaLAPACK distributed processing linear algebra routines, as well as the Basic Linear Algebra Communications Subprograms (BLACS) and the Parallel Basic Linear Algebra Subprograms (PBLAS).
  • Intel® MKL PARDISO (a direct sparse solver based on Parallel Direct Sparse Solver PARDISO*), an iterative sparse solver, and supporting sparse BLAS (level 1, 2, and 3) routines for solving sparse systems of equations, as well as a distributed version of Intel® MKL PARDISO solver provided for use on clusters.
  • Fast Fourier transform (FFT) functions in one, two, or three dimensions with support for mixed radices (not limited to sizes that are powers of 2), as well as distributed versions of these functions provided for use on clusters.
  • Vector Mathematics (VM) routines for optimized mathematical operations on vectors.
  • Vector Statistics (VS) routines, which offer high-performance vectorized random number generators (RNG) for several probability distributions, convolution and correlation routines, and summary statistics functions.
  • Data Fitting Library, which provides capabilities for spline-based approximation of functions, derivatives and integrals of functions, and search.
  • Extended Eigensolver, a shared memory programming (SMP) version of an eigensolver based on the Feast Eigenvalue Solver.
  • Deep Neural Network (DNN) primitive functions with C language interface.

This package pulls all the header files, static and shared objects of MKL.

libparmetis-dev
Parallel Graph Partitioning and Sparse Matrix Ordering Libs: Devel
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ParMetis computes minimal-cut partitions of graphs and meshes in parallel, and orders variables for minimal fill when using direct solvers for sparse matrices. It does all this in parallel, and also can efficiently re-partition a graph or mesh whose connectivity has changed.

This package contains files needed to develop programs using ParMetis.

libsuitesparse-metis-dev
collection of libraries for computations for sparse matrices
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Suitesparse is a collection of libraries for computations involving sparse matrices. libsuitesparse-metis-dev is a replacement for libsuitesparse-dev compiled with libmetis support. The package includes the following libraries:

AMD approximate minimum degree ordering

CAMD symmetric approximate minimum degree

BTF permutation to block triangular form (beta)

COLAMD column approximate minimum degree ordering

CCOLAMD constrained column approximate minimum degree ordering

CHOLMOD sparse Cholesky factorization

CSparse a concise sparse matrix package

CXSparse CSparse extended: complex matrix, int and long int support

KLU sparse LU factorization, primarily for circuit simulation

LDL a simple LDL' factorization

UMFPACK sparse LU factorization

UFconfig configuration file for all the above packages.

This package contains the static libraries and header files.

libtestu01-0-dev
testing suite for uniform random number generators -- libdevel
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TestU01 is a software library, implemented in the ANSI C language, and offering a collection of utilities for the empirical statistical testing of uniform random number generators.

TestU01 implements several types of random number generators in generic form, as well as many specific generators proposed in the literature or found in widely-used software. It provides general implementations of the classical statistical tests for random number generators, as well as several others proposed in the literature, and some original ones. These tests can be applied to the generators predefined in the library and to user-defined generators. Specific tests suites for either sequences of uniform random numbers in [0,1] or bit sequences are also provided, as well as basic tools for plotting vectors of points produced by generators and more advanced tools for more involved tests and usage.

This package contains the static libraries and symbolic links that developers using the TestU01 libraries will need.

python3-amgcl
Solves large sparse linear systems with algebraic multigrid method
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AMG is one of the most effective iterative methods for solution of equation systems arising, for example, from discretizing PDEs on unstructured grids. The method can be used as a black-box solver for various computational problems, since it does not require any information about the underlying geometry. AMG is often used not as a standalone solver but as a preconditioner within an iterative solver (e.g. Conjugate Gradients, BiCGStab, or GMRES).

AMGCL builds the AMG hierarchy on a CPU and then transfers it to one of the provided backends. This allows for transparent acceleration of the solution phase with help of OpenCL, CUDA, or OpenMP technologies. Users may provide their own backends which enables tight integration between AMGCL and the user code.

This package provides the Python interface

Packaging has started and developers might try the packaging code in VCS

libcblas-dev
Basic Linear Algebra Subroutines 3, static library
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This package is a binary incompatible upgrade to the blas-dev package. Several minor changes to the C interface have been incorporated.

BLAS (Basic Linear Algebra Subroutines) is a set of efficient routines for most of the basic vector and matrix operations. They are widely used as the basis for other high quality linear algebra software, for example lapack and linpack. This implementation is the Fortran 77 reference implementation found at netlib.

This implementation of the library belongs to the CLAPACK distribution.

This package contains a static version of the library.

libgismo-dev
Geometry plus simulatiom modules development files
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G+Smo (Geometry + Simulation Modules, pronounced "gismo") is a new open-source C++ library that brings together mathematical tools for geometric design and numerical simulation. This package contains inlude headers, cmake configuration files and other development utils.

liblevmar-dev
Levenberg-Marquardt nonlinear least squares algorithm (devel)
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levmar is a native ANSI C implementation of the Levenberg-Marquardt optimization algorithm. Both unconstrained and constrained (under linear equations, inequality and box constraints) Levenberg-Marquardt variants are included. The LM algorithm is an iterative technique that finds a local minimum of a function that is expressed as the sum of squares of nonlinear functions. It has become a standard technique for nonlinear least-squares problems and can be thought of as a combination of steepest descent and the Gauss-Newton method. When the current solution is far from the correct on, the algorithm behaves like a steepest descent method: slow, but guaranteed to converge. When the current solution is close to the correct solution, it becomes a Gauss-Newton method.

This package contains the header file and the demo program.

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