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 (AD) af C++-algoritmer
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CppAD er en pakke for automatisk differentiering 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 indeholder C++-teksthovedfiler og dokumentation.

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.

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.

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.

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 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++ template class library for scientific computing - libdev
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Blitz++ offers a high level of abstraction, but performance which rivals Fortran. The current version supports arrays and vectors.

This package contains the static library and header files for compiling programs with blitz++.

The package is enhanced by the following packages: libblitz-doc
Libbraiding-dev
computations on braid groups (development files)
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libbraiding is a library to compute several properties of braids, including centralizer and conjugacy check.

It is based on CBraid by Jae Choon Cha and Braiding by Juan Gonzalez-Meneses.

This package contains the development files for the library.

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
Library for finding vertices of convex polytopes, development
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The cddlib library is a C library for manipulating general convex polyhedra. It supports converting between the system of linear inequalities representation and a vertices and extreme rays representation of a polyhedron, and also supports solving linear programming problems.

This package contains the cddlib development files.

Libcgal-dev
C++ library for computational geometry (development files)
Maintainer: Joachim Reichel
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CGAL (Computational Geometry Algorithms Library) makes the most important of the solutions and methods developed in computational geometry available to users in industry and academia in a C++ library. The goal is to provide easy access to useful, reliable geometric algorithms.

This package contains most of the header files. The header files for visualization with Qt can be found in the package 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

Libdouble-conversion-dev
routines to convert IEEE floats to and from strings (development files)
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This library provides routines to convert IEEE single and double floats to and from string representations. It offers at lot of flexibility with respect to the conversion format: shortest, fixed, precision or exponential representation; decimal, octal or hexadecimal basis; control over number of digits, leading/trailing zeros and spaces.

The library consists of efficient conversion routines that have been extracted from the V8 JavaScript engine. The code has been refactored and improved so that it can be used more easily in other projects.

This package contains a static version of the library and development headers.

Libdune-grid-dev
toolbox for solving PDEs -- grid interface (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).

This package contains the development files for the grid interface.

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.

Denne pakke indeholder udviklingsfilerne for biblioteket.

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.

Libflann-dev
Fast Library for Approximate Nearest Neighbors - development
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FLANN is a library for performing fast approximate nearest neighbor searches in high dimensional spaces. It contains a collection of algorithms found to work best for nearest neighbor search and a system for automatically choosing the best algorithm and optimum parameters depending on the dataset.

This package contains development files needed to build FLANN applications.

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++.

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
Routines for fast arithmetic in GF(2)[x] (development files)
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GF2X is a C/C++ software package containing routines for fast arithmetic in GF(2)[x] (multiplication, squaring, GCD) and searching for irreducible/primitive trinomials.

This package contains the development files for the library.

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 - Development Files
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Hypre is a set of matrix preconditioning libraries to aid in the solution of large systems of linear equations.

This package contains the headers and symlinks necessary to develop programs which use hypre.

To reduce the size of the library, HYPRE is split into sublibraries: libHYPRE.so is a dummy library linked to: - libHYPRE_core.so - libHYPRE_FEI.so

Libigraph0-dev
library for creating and manipulating graphs - development files
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igraph is a library for creating and manipulating graphs. It is intended to be as powerful (ie. fast) as possible to enable the analysis of large graphs.

This package contains the include files and static library for igraph.

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.

 Homepage: http://math.nist.gov/tnt/
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.

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.

Liblinbox-dev
Library for exact linear algebra - development files
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LinBox is a C++ template library for exact, high-performance linear algebra computation with dense, sparse, and structured matrices over the integers and over finite fields.

This package contains the LinBox development files.

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 adaptation library
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This package contains the development files (headers, so and static libraries) for MAdLib.

MAdLib is a library that performs global node repositioning and mesh adaptation by local mesh modifications on tetrahedral or triangular meshes. It is designed to frequently adapt the mesh in transient computations. MAdLib is written in C++.

The adaptation procedure is driven by two objectives:

  • make the edge lengths as close as possible to a (non-homogenous)

    prescribed length,

  • maintain a satisfying element quality everywhere.

MAdLib can be used in transient computations in order to maintain a satisfying element quality (moving boundaries, multiphase flows with interface tracking, ...) or/and to apply selective refinements and coarsenings (error estimators based, interface capturing: shocks, free surfaces, ...).

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
MAT I/O-filbibliotek - udviklingsfiler
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Matio er et ISO 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.

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.

Libmuparser-dev
fast mathematical expressions parse library (development)
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muParser is a high performance mathematical parser library, written in pure C++. It is based on transforming an expression into a bytecode and precalculating constant parts of it.

This package contains the development files.

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
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
Optimized BLAS (linear algebra) library (dev, meta)
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OpenBLAS is an optimized BLAS library based on GotoBLAS2 1.13 BSD version.

Unlike Atlas, OpenBLAS provides a multiple architecture library.

All kernel will be included in the library and dynamically switched to the best architecture at run time (only on amd64, arm64 and i386).

This package includes the static libraries and symbolic links needed for program development.

Libopenturns-dev
headers and development libraries for OpenTURNS
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OpenTURNS is a powerful and generic tool to treat and quantify uncertainties in numerical simulations in design, optimization and control. It allows both sensitivity and reliability analysis studies:

  • defining the outputs of interest and decision criterion;
  • quantify and model the source of uncertainties;
  • propagate uncertainties and/or analyse sensitivity and
  • rank the sources of uncertainty

OpenTURNS is a large project with more than 300 C++ classes which uses well known and supported software such as R for the statistical methods and BLAS/LAPACK for the linear algebra.

This package provides the OpenTURNS headers should be used if one wants to link its application against the library.

Libp4est-dev
Algorithms for Parallel Adaptive Mesh Refinement - development files
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The p4est software library enables the dynamic management of a collection of adaptive octrees, conveniently called a forest of octrees. p4est is designed to work in parallel and scale to hundreds of thousands of processor cores.

This package contains the development files.

Libparsington-java
mathematical expression parser for Java
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Parsington is an infix-to-postfix (or infix-to-syntax-tree) expression parser for mathematical expressions written in Java. It is simple yet fancy, handling (customizable) operators, functions, variables and constants in a similar way to what the Java language itself supports.

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
fast prime number generator C/C++ library -- libdev
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primesieve is a free software program and C/C++ library that generates primes using a highly optimized sieve of Eratosthenes implementation. primesieve can generate primes and prime k-tuplets up to nearly 2^64.

See http://primesieve.org/ for more information.

This package provides the static library and symbolic links needed for development.

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.

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
Exact linear programming solver -- development files
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QSopt-ex is an implementation of a simplex-based algorithm that returns exact rational solutions, taking advantage of the speed of floating-point calculations and attempting to minimize the operations performed in rational arithmetic.

This package contains the header files and static library.

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
development files for libratpoints
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This program tries to find all rational points within a given height bound on a hyperelliptic curve in a very efficient way, by using an optimized quadratic sieve algorithm.

This package contains the development files for the library.

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.

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.

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 accelarators and a number of efficient preconditioners.

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.

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

RBio read/write sparse matrices in Rutherford/Boeing format

SPQR sparse QR factorization

GraphBLAS graph algorithms via sparse matrix operations on semirings

Mongoose graph partitioning library that can quickly compute edge cuts

SuiteSparse_config configuration routines for all the above packages.

This package contains the static libraries and header files.

Libsuperlu-dev
Direct solution of large, sparse systems of linear equations
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Development files for SuperLU.

SuperLU is a general purpose library for the direct solution of large, sparse, nonsymmetric systems of linear equations on high performance machines.

The library is written in C and is callable from either C or Fortran. The library routines will perform 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.

This package contains the header and development files to build against SuperLU.

Libsymmetrica2-dev
Symmetrica Combinatoric C Library -- development package
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Symmetrica is a library for combinatorics. It has support for the representation theory of the symmetric group and related groups, combinatorics of tableaux, symmetric functions and polynomials, Schubert polynomials, and the representation theory of Hecke algebras of type A_n.

This package contains the header files, static libraries and symbolic links that developers using the Symmetrica Combinatoric C Library will need.

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.

 Homepage: http://math.nist.gov/tnt/
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.

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
Matrix-operationer og dyb lærings-primitiver - udviklingsfiler
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LIBXSMM er et bibliotek målrettet Intel Architecture for specialiserede tætte og tynde matrixoperationer og dyb lærings-primitiver.

Dnene pakke indeholder de statiske biblioteker og teksthovedfiler.

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-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
data fitting and Bayesian uncertainty modeling for inverse problems (Python 3)
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Bumps is a set of routines for curve fitting and uncertainty analysis from a Bayesian perspective. In addition to traditional optimizers which search for the best minimum they can find in the search space, bumps provides uncertainty analysis which explores all viable minima and finds confidence intervals on the parameters based on uncertainty in the measured values. Bumps has been used for systems of up to 100 parameters with tight constraints on the parameters. Full uncertainty analysis requires hundreds of thousands of function evaluations, which is only feasible for cheap functions, systems with many processors, or lots of patience.

Bumps includes several traditional local optimizers such as Nelder-Mead simplex, BFGS and differential evolution. Bumps uncertainty analysis uses Markov chain Monte Carlo to explore the parameter space. Although it was created for curve fitting problems, Bumps can explore any probability density function, such as those defined by PyMC. In particular, the bumps uncertainty analysis works well with correlated parameters.

Bumps can be used as a library within your own applications, or as a framework for fitting, complete with a graphical user interface to manage your models.

This package installs the library 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
Python3 package for convex optimization
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CVXOPT is a Python package for convex optimization. It includes

  • Python classes for storing and manipulating dense and sparse matrices
  • an interface to most of the double-precision real and complex BLAS
  • an interface to the dense linear equation solvers and eigenvalue routines from LAPACK
  • interfaces to the sparse LU and Cholesky solvers from UMFPACK and CHOLMOD.
  • routines for solving convex optimization problems, an interface to the linear programming solver in GLPK, and interfaces to the linear and quadratic programming solvers in MOSEK
  • a modeling tool for specifying convex piecewise-linear optimization problems.

This package contains the Python 3 module.

Python3-cypari2
Pythongrænseflade til PARI - Python 3
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En Pythongrænseflade til talteoribiblioteket libpari.

Denne pakke installerer biblioteket for Python 3.

Python3-dolfin
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.

Denne pakke indeholder Pythongrænsefladen for DOLFIN (Python 3).

Python3-dtcwt
Dual-Tree Complex Wavelet Transform library for Python 3
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The dtcwt library provides a Python implementation of the 1, 2 and 3-D dual-tree complex wavelet transform along with some associated algorithms. It contains a pure CPU implementation which makes use of NumPy along with an accelerated GPU implementation using OpenCL.

This package provides the modules for Python 3.

Python3-ffc
compiler for finite element variational forms (Python 3)
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The FEniCS Form Compiler FFC provides state-of-the-art automatic and efficient evaluation of general multilinear forms (variational formulations) for FEniCS. FFC functions as the form evaluation system for DOLFIN but can also be used to compile forms for other systems.

FFC works as a compiler for multilinear forms by generating code (C or C++) for the evaluation of a multilinear form given in mathematical notation. This new approach to form evaluation makes it possible to combine generality with efficiency; the form can be given in mathematical notation and the generated code is as efficient as hand-optimized code.

This package installs the library 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) in Python
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The ltfatpy package is a partial Python port of the Large Time/Frequency Analysis Toolbox (LTFAT), a MATLAB®/Octave toolbox for working with time-frequency analysis and synthesis.

It is intended both as an educational and a computational tool.

The package provides a large number of linear transforms including Gabor transforms along with routines for constructing windows (filter prototypes) and routines for manipulating coefficients.

This package provides the modules 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.

Denne pakke indeholder numexpr for Python 3.

Python3-numpy
Hurtig tabelfacilitet til Python 3-sproget
Maintainer: Sandro Tosi
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Numpy indeholder et kraftfuldt n-dimensionelt vektor-/array-objekt, sofistikerede (udsendelser) funktioner, værktøjer til integrering af kode i C/C++ og Fortran og brugbare lineære algebra, Fourieromdannelse og vilkårlig talevner.

Numpy erstatter modulerne python-numeric og python-numarray, som nu er forældede og ikke bør bruges undtagen for at understøtte ældre programmer.

Denne pakke indeholder 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

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 en tekstbrugerflade med Python 3, der giver adgang til al funktionalitet tilbudt af biblioteket OpenTURNS.

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-petsc4py
Python 3 bindings for PETSc libraries
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PETSc is a suite of data structures and routines for the scalable (parallel) solution of scientific applications modeled by partial differential equations. It employs the MPI standard for all message-passing communication.

This is a dummy package that depends on the python3 petsc4py package with either real or complex number support.

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 dummy package that depends on python3-slepc4py-real or python3-slepc4py-complex. If both are installed then alternatives can be used to set the preferred configuration for slepc4py.

Python3-ufl
unified language for form-compilers (Python 3)
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UFL (Unified Form Language) is a unified language for definition of variational forms intended for finite element discretization. More precisely, it defines a fixed interface for choosing finite element spaces and defining expressions for weak forms in a notation close to mathematical notation. The form compilers FFC and SyFi use UFL as their end-user interface, producing UFC implementations as their output.

This package installs the library 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)

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.

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
toolbox for solving PDEs -- iterative solvers (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).

This package contains the development files for the iterative solver template library.

Libdune-localfunctions-dev
toolbox for solving PDEs -- local basis (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).

This package contains the development files for the interface for the local basis and layout of the degrees of freedom.

Libdune-pdelab-dev
toolbox for solving PDEs -- discretization module (development files)
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DUNE-PDELab is a new generalized discretization module for a wide range of discretization methods. It allows rapid prototyping for implementing discretizations and solvers for systems of PDEs based on DUNE.

This package contains the development files.

Libdune-typetree-dev
toolbox for solving PDEs -- typed tree template library (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).

This package contains the development files for the typed tree template library.

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
Maintainer: David Bremner
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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.

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

The package is enhanced by the following packages: sollya-doc
Libtrilinos-dev
parallel solver libraries within an object-oriented software framework
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The Trilinos Project is an effort to develop and implement robust parallel algorithms using modern object-oriented software design, while still leveraging the value of established numerical libraries such as PETSc, Aztec, the BLAS and LAPACK. It emphasizes abstract interfaces for maximum flexibility of component interchanging, and provides a full-featured set of concrete classes that implement all abstract interfaces.

This package contains the headers and static libraries.

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)
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
serialize numpy arrays using msgpack
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This package provides encoding and decoding routines that enable the serialization and deserialization of numerical and array data types provided by numpy using the highly efficient msgpack format. Serialization of Python's native complex data types is also supported.

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

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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.

Libtet1.4-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 and static library.

Libtet1.4.2-dev
A 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 and static library.

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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