Debian Science Project
Summary
Mathematics-dev
Debian Science Mathematics-dev packages

This metapackage will install Debian Science packages which might be helpful for development of applications for Mathematics.

You might also be interested in the science-mathematics metapackage.

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

Links to other tasks

Debian Science Mathematics-dev packages

Official Debian packages with high relevance

code-saturne-bin
General purpose Computational Fluid Dynamics (CFD) software - binaries
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The basic capabilities of Code_Saturne enable the handling of either incompressible or expandable flows with or without heat transfer and turbulence. Dedicated modules are available for specific physics such as radiative heat transfer, combustion (gas, coal, heavy fuel oil, ...), magneto-hydrodynamics, compressible flows, two-phase flows (Euler-Lagrange approach with two-way coupling), extensions to specific applications (e.g. Mercure_Saturne for atmospheric environment).

It runs in parallel with MPI on distributed memory machines. Developed since 1997 at EDF R&D, it is based on a co-located Finite Volume approach that accepts meshes with any type of cell (tetrahedral, hexahedral, prismatic, pyramidal, polyhedral...) and any type of grid structure (unstructured, block structured, hybrid, conforming or with hanging nodes, ...).

This package contains the binary files.

code-saturne-include
General purpose Computational Fluid Dynamics (CFD) software - includes
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The basic capabilities of Code_Saturne enable the handling of either incompressible or expandable flows with or without heat transfer and turbulence. Dedicated modules are available for specific physics such as radiative heat transfer, combustion (gas, coal, heavy fuel oil, ...), magneto-hydrodynamics, compressible flows, two-phase flows (Euler-Lagrange approach with two-way coupling), extensions to specific applications (e.g. Mercure_Saturne for atmospheric environment).

It runs in parallel with MPI on distributed memory machines. Developed since 1997 at EDF R&D, it is based on a co-located Finite Volume approach that accepts meshes with any type of cell (tetrahedral, hexahedral, prismatic, pyramidal, polyhedral...) and any type of grid structure (unstructured, block structured, hybrid, conforming or with hanging nodes, ...).

This package contains the include files.

coinor-libcoinmp-dev
Simple C API for COIN-OR Solvers Clp and Cbc -- development
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The Coin-MP optimizer is an open source solver, it is part of the COIN-OR project which is an initiative to spur the development of open-source software for the operations research community.

CoinMP is a C-API library that supports most of the functionality of CLP (Coin LP), CBC (Coin Branch-and-Cut), and CGL (Cut Generation Library) projects.

This package contains the files needed to build applications using libCoinMP.

cppad
Automatic Differentiation of C++ algorithms, dummy package
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CppAD is a package for automatic differentiation (AD) of algorithms written in C++. Given appropriately written C++ code that computes a function, CppAD augments it to also compute derivative values. The system uses templates, supports forward and reverse accumulation modes, and allows nested derivatives.

This transition package helps with the move to libcppad-dev.

fenics
Automated Solution of Differential Equations
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FEniCS is a collection of free software for automated, efficient solution of differential equations.

FEniCS has an extensive list of features, including automated solution of variational problems, automated error control and adaptivity, a comprehensive library of finite elements, high performance linear algebra and many more.

FEniCS is organized as a collection of interoperable components, including the problem-solving environment DOLFIN, the form compiler FFC, the finite element tabulator FIAT, the just-in-time compiler Instant, the code generation interface UFC, the form language UFL and a range of additional components.

This is a metapackage which depends on all FEniCS components.

This is the legacy version of FEniCS. You may want to consider installing the next-generation FEniCS-X (fenicx package).

fflas-ffpack
Finite field linear algebra subroutines/package
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FFLAS-FFPACK consists in the creation of a set of routines, giving the same tools as a set of classical Basic Linear Algebra Subroutines, but working over finite fields. In the same way, some other routines of higher level (such as the one in LAPACK) are also produced.

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
library for computing Fast Fourier Transforms
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This library computes FFTs in one or more dimensions. It is extremely fast. This package contains the statically linked library and the header files.

gap-dev
GAP computer algebra system, compiler and development files
Maintainer: Bill Allombert
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GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory. GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. GAP is used in research and teaching for studying groups and their representations, rings, vector spaces, algebras, combinatorial structures, and more.

This package contains the GAP compiler and the headers files and objects files necessary to build GAP packages.

The GAP compiler (GAC) creates C code from GAP code and then calls the system's C compiler to produce machine code from it. This can result in a speedup.

jel-java
Library for evaluating algebraic expressions in Java
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The JEL library enables users to enter algebraic expressions into their program. Since JEL converts expressions directly into Java bytecode, it significantly speeds up their evaluation time. If the user's Java virtual machine has a JIT compiler, expressions are transparently compiled into native machine code.

JEL may be a very useful tool for a variety of applications in science involving user-defined functions, e.g. to create plots, to apply fits to a data set and to solve integrals or differential equations. Another relevant use case for JEL is given by algebraic operations between two or more columns of a database table.

libalglib-dev
Development files for the alglib library
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ALGLIB is a cross-platform numerical analysis and data processing library. This package support C++. ALGLIB features include:

  • Linear algebra (direct algorithms, EVD/SVD)
  • Solvers (linear and nonlinear)
  • Interpolation
  • Optimization
  • Fast Fourier transforms
  • Numerical integration
  • Linear and nonlinear least-squares fitting
  • Ordinary differential equations
  • Special functions
  • Statistics (descriptive statistics, hypothesis testing)
  • Data analysis (classification/regression, including neural networks)

This package contains the development files (headers and documentation) for ALGLIB.

libann-dev
Approximate Nearest Neighbor Searching library (development files)
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ANN is a library written in C++, which supports data structures and algorithms for both exact and approximate nearest neighbor searching in arbitrarily high dimensions. ANN assumes that distances are measured using any class of distance functions called Minkowski metrics. These include the well known Euclidean distance, Manhattan distance, and max distance. ANN performs quite efficiently for point sets ranging in size from thousands to hundreds of thousands, and in dimensions as high as 20.

This package contains the header files for developing applications with the ANN library.

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
Object-oriented version of the ARPACK package (development)
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ARPACK++ is an object-oriented version of the ARPACK package. It consists a collection of classes that offers c++ programmers an interface to ARPACK. It preserves the full capability, performance, accuracy and low memory requirements of the FORTRAN package, but takes advantage of the c++ object-oriented programming environment.

ARPACK stands for ARnoldi PACKage and provides standard and generalized eigenvalue solvers for sparse matrices that arises typically from finite element codes. See the corresponding Debian package.

libarpack2-dev
Fortran77 subroutines to solve large scale eigenvalue problems (development)
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ARPACK software is capable of solving large scale symmetric, nonsymmetric, and generalized eigenproblems from significant application areas. The software is designed to compute a few (k) eigenvalues with user specified features such as those of largest real part or largest magnitude. Storage requirements are on the order of n*k locations. No auxiliary storage is required. A set of Schur basis vectors for the desired k-dimensional eigen-space is computed which is numerically orthogonal to working precision. Numerically accurate eigenvectors are available on request.

This package contains the static libraries and the documentation for development with libarpack (including examples).

libatlas-base-dev
Automatically Tuned Linear Algebra Software, generic static
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ATLAS is an approach for the automatic generation and optimization of numerical software. Currently ATLAS supplies optimized versions for the complete set of linear algebra kernels known as the Basic Linear Algebra Subroutines (BLAS), and a subset of the linear algebra routines in the LAPACK library.

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

libbasix-dev
Finite Element Basis Function Definition Runtime Library (development headers)
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Computes FE basis functions and derivatives for the following elements:

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

Computes quadrature rules on different cell types

Provides reference topology and geometry for reference cells of each type.

Python wrapper provided with pybind11.

This package installs the development files for the shared library.

libblas-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 package contains a static version of the library.

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

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

Please cite: Field G. {V}an~{Z}ee and Robert A. {v}an~{d}e~{G}eijn: BLIS: A Framework for Rapidly Instantiating BLAS Functionality. ACM Transactions on Mathematical Software 41(3):14:1-14:33 (2015)
libblitz0-dev
C++ 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 implementation of dynamic arrays (development files)
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CVector is an ANSI C library which implements dynamic arrays approximating the functionality of the C++ vector class. It provides functions to create and manipulate an abstract vector container. Vector elements can be of any datatype.

This package contains files needed for compiling programs using 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.

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libdolfinx-dev
Shared links and header files for DOLFIN
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DOLFIN is the Python and C++ interface of the FEniCS project for the automated solution of differential equations, providing a consistent PSE (Problem Solving Environment) for solving ordinary and partial differential equations. Key features include a simple, consistent and intuitive object-oriented API; automatic and efficient evaluation of variational forms; automatic and efficient assembly of linear systems; and support for general families of finite elements.

This package contains the common development files and depends on the real or complex development package.

This is the next-generation version of libdolfinx-dev (DOLFIN-X). The legacy version of DOLFIN is provided by libdolfin-dev.

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
Library for modular symbols and elliptic curves over Q (development)
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This library implements 2-descent on elliptic curves over Q and computations with modular symbols.

This package contains the development files for the library.

libecm-dev
dummy package
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This is a dummy package.

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
A library for the finite element method
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Provides the header files and static libraries.

Feel++ is a versatile finite element library to solve partial differential equations.

Support 1D, 2D, 3D

Support the following basic entities: simplices (segment, triangle, tetrahedron) and product of simplices (quadrangle, hexahedron)

Support various point sets on these basic entities: equispaced points, quadrature points, interpolation points (Gauss-Lobatto, Fekete, WarpBlend?)

Support continuous and discontinuous Galerkin methods

Support various polynomial sets:

  • Lagrange(continuous,discontinuous,all dimensions,all interpolation point sets)

  • Dubiner(discontinuous), boundary adapted(continuous)

  • Legendre(discontinuous), boundary adapted(continuous)

Provide mathematical concept for higher order abstraction (Function spaces and associated elements, forms and operators)

Provide a language embedded in C++ for variational formulations, projection and numerical integration

libfftw3-dev
Library for computing Fast Fourier Transforms - development
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The FFTW library computes Fast Fourier Transforms (FFT) in one or more dimensions. It is extremely fast. This package contains the statically linked library, header files and test programs.

This package contains the header files and static libraries. For documentation, see libfftw3-doc.

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

This package contains the static library and the development files.

libflann-dev
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
Library for LLL-reduction of Euclidean lattices, development
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fpLLL is a library for computing reduced (nearly orthogonal) bases for Euclidean lattices using the floating-point LLL algorithm.

fpLLL contains multiple different implementations of the floating-point LLL reduction algorithm, offering multiple different speed/guarantees ratios.

It contains a 'wrapper' that chooses the estimated best sequence of variants in order to provide a guaranteed output as fast as possible. In the case of the wrapper, the succession of variants is oblivious to the user.

This package contains development files for libfplll.

libfreefem++-dev
Provides the development files of the FreeFem++ FE suite
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FreeFem++ is an implementation of a language dedicated to the finite element method. It enables you to solve Partial Differential Equations (PDE) easily.

Problems involving PDE from several branches of physics such as fluid-structure interactions require interpolations of data on several meshes and their manipulation within one program. FreeFem++ includes a fast quadtree-based interpolation algorithm and a language for the manipulation of these data on multiple meshes. It contains also a powerful mesh generation and adaption tool integrated seamlessly in FreeFem++ called bamg.

FreeFem++ is written in C++ and the FreeFem++ language is a C++ idiom allowing for a smooth learning curve.

This package contains the development files of FreeFem++.

Please cite: Hecht, F.: New development in FreeFem++. J. Numer. Math. 20(3-4):251-265 (2012)
libfreefem-dev
Development library, header files and manpages
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FreeFEM is a language adapted to Partial Differential equation. The underlying method used is the Finite Element Method. This tool has been successfully used as a teaching tool and even as a research tool.

libfrobby-dev
Computations with monomial ideals (development tools)
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Frobby is a software system and project for computations with monomial ideals. Frobby is free software and it is intended as a vehicle for computational and mathematical research on monomial ideals.

The current functionality includes Euler characteristic, Hilbert series, maximal standard monomials, combinatorial optimization on monomial ideals, primary decomposition, irreducible decomposition, Alexander dual, associated primes, minimization and intersection of monomial ideals as well as the computation of Frobenius problems (using 4ti2) with very large numbers. Frobby is also able to translate between formats that can be used with several different computer systems, such as Macaulay 2, Monos, 4ti2, CoCoA4 and Singular. Thus Frobby can be used with any of those systems.

This package contains the development tools.

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
arithmetic and algebraic computations - development files
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Givaro is a C++ library for arithmetic and algebraic computations. Its main features are implementations of the basic arithmetic of many mathematical entities: Primes fields, Extensions Fields, Finite Fields, Finite Rings, Polynomials, Algebraic numbers, and Arbitrary precision integers and rationals (C++ wrappers over gmp).

Givaro also provides data-structures and templated classes for the manipulation of basic algebraic objects, such as vectors, matrices (dense, sparse, structured), univariate polynomials (and therefore recursive multivariate).

It contains different program modules and is fully compatible with the LinBox linear algebra library and the Athapascan environment, which permits parallel programming.

This package contains development files for Givaro.

libglpk-dev
linear programming kit - development files
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GLPK (GNU Linear Programming Kit) is intended for solving large-scale linear programming (LP), mixed integer programming (MIP), and other related problems. It is a set of routines written in ANSI C and organized in the form of a callable library.

This package contains static library, headers, and the development manpage for libvc.

libglpk-java
Java binding to the GNU Linear Programming Kit
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GLPK (GNU Linear Programming Kit) is intended for solving large-scale linear programming (LP), mixed integer programming (MIP), and other related problems. It is a set of routines written in ANSI C and organized in the form of a callable library.

GLPK supports the GNU MathProg language, which is a subset of the AMPL language. GLPK also supports the standard MPS and LP formats.

This package contains the Java binding to 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) -- development package
Maintainer: Dirk Eddelbuettel
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The GNU Scientific Library (GSL) is a collection of routines for numerical analysis. The routines are written from scratch by the GSL team in C, and present a modern API for C programmers, while allowing wrappers to be written for very high level languages.

This package contains the header files, static libraries and symbolic links that developers using GNU GSL will need.

libhomfly-dev
compute the homfly polynomial of a link (development files)
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libhomfly is a library to compute the homfly polynomial of knots and links.

It is based on a program written by Robert J Jenkins Jr.

This package contains the development files for the library.

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.

libigraph-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 the igraph C library.

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

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

This package contains development files for IML.

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

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

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

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

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

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

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

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

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

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

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

liblapack-dev
Library of linear algebra routines 3 - static version
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LAPACK version 3.X is a comprehensive FORTRAN library that does linear algebra operations including matrix inversions, least squared solutions to linear sets of equations, eigenvector analysis, singular value decomposition, etc. It is a very comprehensive and reputable package that has found extensive use in the scientific community.

This package contains a static version of the library.

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

This package contains development files

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

This package contains the development files for the library.

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

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

Please cite: V. A. Traag, L. Waltman and N.-J. Van Eck: From Louvain to Leiden: guaranteeing well-connected communities. (eprint) Scientific reports 9(1):5233 (2018)
liblinbox-dev
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
MATLAB MAT File I/O Library - development files
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matio is a C library for reading and writing MATLAB MAT files.

This package contains the development files needed to compile software to use the libmatio API.

libmeschach-dev
development files for meschach
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These are files necessary for compiling programs with the meschach linear algebra library.

libmeshsdfilter-dev
Static/Dynamic Filtering for Mesh Geometry
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Implementation of the mesh normal filtering algorithm from the paper: Juyong Zhang, Bailin Deng, Yang Hong, Yue Peng, Wenjie Qin, Ligang Liu. Static/Dynamic Filtering for Mesh Geometry. arXiv:1712.03574.

This is a header-only library. This package contains the headers

libmpfi-dev
multiple precision floating-point interval computation library -- libdev
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This package provides a C library of functions for interval arithmetic computations with arbitrary precision.

The basic principle of interval arithmetic consists in enclosing every number by an interval containing it and being representable by machine numbers: for instance it can be stored as its lower and upper endpoints and these bounds are machine numbers, or as a centre and a radius which are machine numbers.

The arithmetic operations are extended for interval operands in such a way that the exact result of the operation belongs to the computed interval.

The purpose of an arbitrary precision interval arithmetic is on the one hand to get guaranteed results, thanks to interval computation, and on the other hand to obtain accurate results, thanks to multiple precision arithmetic. The MPFI library is built upon MPFR in order to benefit from the correct roundings provided by MPFR. Further advantages of using MPFR are its portability and compliance with the IEEE 754 standard for floating-point arithmetic.

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

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

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

libmps-dev
Multiprecision polynomial solver (development)
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A polynomial rootfinder that can determine arbitrary precision approximations with guaranteed inclusion radii. It supports exploiting of polynomial structures such as sparsisty and allows for polynomial implicitly defined or in some non standard basis.

This package contains the development headers and the .so library of MPSolve.

Please cite: Dario Andrea Bini and Giuseppe Fiorentino: Design, analysis, and implementation of a multiprecision polynomial rootfinder. Numerical Algorithms 23(2-3):127-123 (2000)
libmuparser-dev
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
??? missing short description for package libnauty2-dev :-(
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The package is enhanced by the following packages: nauty-doc
Please cite: B.D. McKay and A. Piperno: Practical graph isomorphism, II. Journal of Symbolic Computation 60(0):94 - 112 (2014)
libnewmat10-dev
matrix manipulations library (C++ headers files)
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Newmat library is intended for scientists and engineers who need to manipulate a variety of types of matrices using standard matrix operations. Emphasis is on the kind of operations needed in statistical calculations such as least squares, linear equation solve and eigenvalues.

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

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

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

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

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

1) The nonequispaced fast Fourier transform (NFFT)

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

2) Generalisations of the NFFT

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

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

4) Applications in

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

This package provides the development files for the NFFT library.

Please cite: J. Keiner, S. Kunis and D. Potts: Using NFFT 3 - a software library for various nonequispaced fast Fourier transforms. (eprint) ACM Trans. Math. Softw. 36(4):19-1-19-30 (2009)
libnglib-dev
Automatic 3d tetrahedral mesh generator development files
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NETGEN is an automatic 3d tetrahedral mesh generator. It accepts input from constructive solid geometry (CSG) or boundary representation (BRep) from STL file format. The connection to a geometry kernel allows the handling of IGES and STEP files. NETGEN contains modules for mesh optimization and hierarchical mesh refinement.

This package contains the static libraries and header files.

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.

On amd64, arm64, i386, loong64, ppc64el and s390x, all kernels are included in the library and the one matching best your processor is selected at runtime.

On other architectures, for maximum performance, you may want to rebuild OpenBLAS locally, see the section: “Building an optimized OpenBLAS package for your machine” in README.Debian.

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

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

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

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

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

OpenMesh provides the following features:

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

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

  • Fast neighborhood access, especially the one-ring neighborhood

  • Highly customizable

  • Choose your coordinate type (dimension and scalar type)

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

This package provides the development files library

libopenturns-dev
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

Targeted users are all engineers who want to introduce the probabilistic dimension in their so far deterministic studies.

This package contains development files needed to build OpenTURNS applications.

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

The suite contains:

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

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

This package contains the development files for the ortools 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++ widget for plotting - header
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QCustomPlot plotting library focuses on making good looking, publication quality 2D plots, graphs and charts, as well as offering high performance for realtime visualization applications. The package contains a header-file.

This package ships the development files for building with Qt5 and Qt6

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

libqhull-dev
calculate convex hulls and related structures (development files)
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Qhull computes convex hulls, Delaunay triangulations, halfspace intersections about a point, Voronoi diagrams, furthest-site Delaunay triangulations, and furthest-site Voronoi diagrams. It runs in 2-d, 3-d, 4-d, and higher dimensions.

This package contains the files necessary for development (headers and libraries), as well as the library documentation in 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
generates random variates with multivariate Lipschitz density
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RanLip generates random variates with an arbitrary multivariate Lipschitz density.

While generation of random numbers from a variety of distributions is implemented in many packages (like GSL library http://www.gnu.org/software/gsl/ and UNURAN library http://statistik.wu-wien.ac.at/unuran/), generation of random variate with an arbitrary distribution, especially in the multivariate case, is a very challenging task. RanLip is a method of generation of random variates with arbitrary Lipschitz-continuous densities, which works in the univariate and multivariate cases, if the dimension is not very large (say 3-10 variables).

Lipschitz condition implies that the rate of change of the function (in this case, probability density p(x)) is bounded:

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

From this condition, we can build an overestimate of the density, so called hat function h(x)>=p(x), using a number of values of p(x) at some points. The more values we use, the better is the hat function. The method of acceptance/rejection then works as follows: generatea random variate X with density h(x); generate an independent uniform on (0,1) random number Z; if p(X)<=Z h(X), then return X, otherwise repeat all the above steps.

RanLip constructs a piecewise constant hat function of the required density p(x) by subdividing the domain of p (an n-dimensional rectangle) into many smaller rectangles, and computes the upper bound on p(x) within each of these rectangles, and uses this upper bound as the value of the hat function.

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.

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

This package contains the header files and static library.

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

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

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

libscythestat-dev
header files for Scythe statistics library
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Files provided by this package are required to develop new programs with the Scythe library. There is no binary library associated with these headers, i.e. all template code is contained within and no further dependencies are required at runtime

The Scythe Statistical Library is an open source C++ library for statistical computation. It includes a suite of matrix manipulation functions, a suite of pseudo-random number generators, and a suite of numerical optimizers. Programs written using Scythe are generally much faster than those written in commonly used interpreted languages, such as R, Matlab, and GAUSS; and can be compiled on any system with the GNU GCC compiler (and perhaps with other C++ compilers). One of the primary design goals of the Scythe developers has been ease of use for non-expert C++ programmers. Ease of use is provided through three primary mechanisms: (1) operator and function over-loading, (2) numerous pre-fabricated utility functions, and (3) clear documentation and example programs. Additionally, Scythe is quite flexible and entirely extensible because the source code is available to all users.

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

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

This package ships development files.

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

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

This package contains the development files.

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

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

This package contains development files.

libspooles-dev
SPOOLES SParse Object Oriented Linear Equations Solver development files
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SPOOLES is a library for solving sparse real and complex linear systems of equations, written in the C language using object oriented design.

This package contains the SPOOLES development files.

libstopt-dev
library for stochastic optimization problems (development package)
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The STochastic OPTimization library (StOpt) aims at providing tools in C++ for solving some stochastic optimization problems encountered in finance or in the industry. Different methods are available:

  • dynamic programming methods based on Monte Carlo with regressions (global, local, kernel and sparse regressors), for underlying states following some uncontrolled Stochastic Differential Equations;
  • dynamic programming with a representation of uncertainties with a tree: transition problems are here solved by some discretizations of the commands, resolution of LP with cut representation of the Bellman values;
  • Semi-Lagrangian methods for Hamilton Jacobi Bellman general equations for underlying states following some controlled Stochastic Differential Equations;
  • Stochastic Dual Dynamic Programming methods to deal with stochastic stock management problems in high dimension. Uncertainties can be given by Monte Carlo and can be represented by a state with a finite number of values (tree);
  • Some branching nesting methods to solve very high dimensional non linear PDEs and some appearing in HJB problems. Besides some methods are provided to solve by Monte Carlo some problems where the underlying stochastic state is controlled. For each method, a framework is provided to optimize the problem and then simulate it out of the sample using the optimal commands previously computed. Parallelization methods based on OpenMP and MPI are provided in this framework permitting to solve high dimensional problems on clusters. The library should be flexible enough to be used at different levels depending on the user's willingness.

This package contains the headers and the static libraries (libstopt-mpi which allows for multithreading, and libstopt which does not).

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

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

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

AMD approximate minimum degree ordering

CAMD symmetric approximate minimum degree

BTF permutation to block triangular form (beta)

COLAMD column approximate minimum degree ordering

CCOLAMD constrained column approximate minimum degree ordering

CHOLMOD sparse Cholesky factorization

CXSparse a concise sparse matrix package

KLU sparse LU factorization, primarily for circuit simulation

LDL a simple LDL' factorization

UMFPACK sparse LU factorization

ParU unsymmetric multifrontal multithreaded sparse LU factorization

RBio read/write sparse matrices in Rutherford/Boeing format

SPQR sparse QR factorization

Mongoose graph partitioning library that can quickly compute edge cuts

SPEX solves sparse linear systems in exact arithmetic

SuiteSparse_config configuration routines for all the above packages.

This package contains the static libraries and header files.

libsuperlu-dev
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.

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

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

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

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

libsymmetrica2-dev
transitional package
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This is a transitional package. It can safely be removed.

libtachyon-dev
Parallel/Multiprocessor Ray Tracing Software, development files
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Tachyon is a portable, high performance parallel ray tracing system supporting MPI and multithreaded implementations. Tachyon is built as a C callable library, which can be used with the included demo programs or within your own application. The distribution also includes a simple scene file parser front-end which reads a few different formats.

Tachyon implements all of the basic geometric primitives such as triangles, planes, spheres, cylinders, etc. Some of the goals in developing Tachyon were to make it fast and for it to parallelize well. These are what set it apart from more full-featured programs like POV-Ray, Rayshade, and others. Tachyon supports enough features to be an excellent alternative to slower programs for demanding animation and scientific visualization tasks. As time goes on, Tachyon will indeed incorporate more features, but with a continued emphasis on rendering performance.

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

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

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

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

This package contains the development files.

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

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

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

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

This package contains the development files for vdt.

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

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

libxsmm-dev
Library for matrix operations and deep learning primitives
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LIBXSMM is a library targeting Intel Architecture for specialized dense and sparse matrix operations, and deep learning primitives.

This package contains the tools, static libraries and header files.

libzn-poly-dev
development files for libzn-poly
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zn_poly is a C library for polynomial arithmetic in Z/nZ[x], where n is any modulus that fits into an unsigned long.

This package contains the development files for the library.

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
Virtual package depending on latest PETSc development package
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PETSc is the "Portable Extensible Toolkit for Scientific Computation", 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. Several sample scientific applications, as well as various papers and talks, demonstrate the features of the PETSc libraries.

This metapackage installs libpetsc-real-dev, which will always depend on the most recent version of PETSc with real number support. So if you install it then you will get upgrades automatically.

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

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

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

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

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

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

This package installs the library for Python 3.

python3-basix
Finite Element Basis Function Definition Runtime Library (Python 3)
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Computes FE basis functions and derivatives for the following elements:

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

Computes quadrature rules on different cell types

Provides reference topology and geometry for reference cells of each type.

Python wrapper provided with pybind11.

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
Python bindings for the CryptoMiniSat SAT solver (Python 3)
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CryptoMiniSat is a modern, multi-threaded, simplifying SAT solver.

This package provides the pycryptosat module to use CryptoMiniSat from Python 3. See https://github.com/msoos/cryptominisat#python-usage for examples.

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
Python interface to PARI -- Python 3
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A Python interface to the number theory library libpari.

This package installs the library for Python 3.

python3-cython-blis
Fast BLAS-like operations from Python and Cython, without the tears (Python 3)
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This repository provides the Blis linear algebra routines as a self-contained Python C-extension. Currently, it only supports single-threaded execution, as this is actually best for our workloads (ML inference).

This package installs the library for Python 3.

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

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

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

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

Example capabilities:

  • Primitives
  • circle, rectangle, polygon
  • halfspace
  • Combinations
  • difference
  • nonconstant edge length
  • union
  • intersection
  • Transformations
  • rotation, translation, scaling
  • Local refinement
python3-dolfin
Base Python interface for DOLFIN (Python 3)
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DOLFIN is the Python and C++ interface of the FEniCS project for the automated solution of differential equations, providing a consistent PSE (Problem Solving Environment) for solving ordinary and partial differential equations. Key features include a simple, consistent and intuitive object-oriented API; automatic and efficient evaluation of variational forms; automatic and efficient assembly of linear systems; and support for general families of finite elements.

This is the base package depending on specific dolfin builds. By default the version built against the preferred version of PETSc in /usr/lib/petsc is selected (with 32-bit indexing, but the alternative version (64-bit PETSc) can be selected by setting the environment variable PETSC_DIR.

This is the legacy version of DOLFIN, you may want to install the next-generation python3-dolfinx (DOLFIN-X) instead.

python3-dolfinx
Python interface for DOLFIN (Python 3)
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DOLFIN is the Python and C++ interface of the FEniCS project for the automated solution of differential equations, providing a consistent PSE (Problem Solving Environment) for solving ordinary and partial differential equations. Key features include a simple, consistent and intuitive object-oriented API; automatic and efficient evaluation of variational forms; automatic and efficient assembly of linear systems; and support for general families of finite elements.

This is the next-generation version of libdolfinx-dev (DOLFIN-X). The legacy version of DOLFIN is provided by python3-dolfin.

This is a base package depending on the dolfinx packages with real or complex number support. By default the version built against the preferred version of PETSc in /usr/lib/petsc is selected, but the alternative version can be selected by setting the environment variable PETSC_DIR.

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 legacy FFC library for Python 3.

You may want to consider installing python3-ffcx instead to get the next-generation FFC-X.

python3-ffcx
next-gen 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 next-generation FFC-X 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
Wrapper for the OpenCL FFT library clFFT (Python 3)
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This python wrapper is designed to tightly integrate with PyOpenCL. It consists of a low-level Cython based wrapper with an interface similar to the underlying C library. On top of that it offers a high-level interface designed to work on data contained in instances of pyopencl.array.Array, a numpy work-alike array class for GPU computations. The high-level interface takes some inspiration from pyFFTW. For details of the high-level interface see fft.py.

This package installs the library 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-meshplex
fast tools for simplex meshes (Python 3)
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Compute all sorts of interesting points, areas, and volumes in triangular and tetrahedral meshes, with a focus on efficiency. Useful in many contexts, e.g., finite-element and finite-volume computations.

This package installs the library for Python 3.

python3-meshzoo
simple geometric meshes (Python 3)
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When generating meshes for FEM/FVM computations, sometimes your geometry is so simple that you don't need a complex mesh generator (like pygmsh, MeshPy, mshr, pygalmesh, dmsh), but something simple and fast that makes use of the structure of the domain. Enter meshzoo.

Examples: Triangle, Rectangle, Regular polygon, Disk, Möbius strip, Sphere (surface), Ball (solid), Tube, Cube.

This package installs the module for Python 3.

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

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

python3-mpi4py-fft
a Python package for computing Fast Fourier Transforms (FFTs) with MPI
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mpi4py-fft is a Python package for computing Fast Fourier Transforms (FFTs). Large arrays are distributed and communications are handled under the hood by MPI for Python (mpi4py). To distribute large arrays we are using a new and completely generic algorithm that allows for any index set of a multidimensional array to be distributed. We can distribute just one index (a slab decomposition), two index sets (pencil decomposition) or even more for higher-dimensional arrays.

In mpi4py-fft there is also included a Python interface to the FFTW library. This interface can be used without MPI, much like pyfftw, and even for real-to-real transforms, like discrete cosine or sine transforms.

The package provides a Python interface to FFTW, but with MPI parallelisation. This enables strong scaling tested to 16000 cores, or weak scaling tested to 2000 cores. The algorithm is documented at https://arxiv.org/abs/1804.09536

This package installs the library for Python 3.

python3-numexpr
Fast numerical array expression evaluator for Python 3 and NumPy
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Numexpr package evaluates multiple-operator array expressions many times faster than NumPy can. It accepts the expression as a string, analyzes it, rewrites it more efficiently, and compiles it to faster Python code on the fly. It's the next best thing to writing the expression in C and compiling it with a specialized just-in-time (JIT) compiler, i.e. it does not require a compiler at runtime.

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

Numpy replaces the python-numeric and python-numarray modules which are now deprecated and shouldn't be used except to support older software.

This package contains Numpy for Python 3.

The package is enhanced by the following packages: python3-shapely
python3-openturns
Python3 front-end of OpenTURNS (aka TUI)
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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

Targeted users are all engineers who want to introduce the probabilistic dimension in their so far deterministic studies.

This package provides the Python3 bindings to the library.

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

This package installs the library for Python 3.

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

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

The suite contains:

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

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

This package contains the Python 3 bindings of ortools.

python3-petsc4py
Python 3 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 base package that depends on the python3 petsc4py package with either real or complex number support. It provides the path to petsc4py for the system's default PETSc version set in /usr/lib/petsc. Export environment variable PETSC_DIR to use other versions.

python3-pyemd
Python library for the Earth Mover's Distance with NumPy
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PyEMD is a Python wrapper for Ofir Pele and Michael Werman's implementation of the Earth Mover's Distance that allows it to be used with NumPy. If you use this code, please cite the papers listed in the README.md.

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

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

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

This package provides the Python 3 bindings.

python3-pynfft
Python bindings for the NFFT3 library - Python 3
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This package provides Python bindings to the NFFT library, useful for performing Fourier transforms on non-uniformly sampled data with efficient speed. The bindings were generated using Cython and abstract the creation and execution of NFFT plans out using classes.

This package provides the Python 3 version of the bindings.

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

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

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

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

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

python3-stopt
library for stochastic optimization problems (Python 3 bindings)
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The STochastic OPTimization library (StOpt) aims at providing tools in C++ for solving some stochastic optimization problems encountered in finance or in the industry. Python 3 bindings are provided by this package in order to allow one to use the C++ library in a Python code.

The package is enhanced by the following packages: stopt-examples
python3-swiglpk
Plain Python bindings for the GNU Linear Programming Kit (Python 3)
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swiglpk just provides plain SWIG bindings to the underlying C library of the GNU Linear Programming Kit. It is not a high-level wrapper for GLPK.

This package installs the library for Python 3.

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
library for computing Fast Fourier Transforms
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This library computes FFTs in one or more dimensions. It is extremely fast. This package contains the statically linked library and the header files.

slepc-dev
Scalable Library for Eigenvalue Problem Computations
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SLEPc is a software library for the solution of large scale sparse eigenvalue problems on parallel computers. It is an extension of PETSc and can be used for either standard or generalized eigenproblems, with real or complex arithmetic. It can also be used for computing a partial SVD of a large, sparse, rectangular matrix.

This is a dependency package which depends on the latest version of SLEPc.

trilinos-all-dev
object-oriented framework for large-scale problems - development files (ALL)
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The Trilinos Project is an effort to develop algorithms and enabling technologies within an object-oriented software framework for the solution of large-scale, complex multi-physics engineering and scientific problems. A unique design feature of Trilinos is its focus on packages.

This package depends on all Trilinos development packages.

Please cite: Michael Heroux, Roscoe Bartlett, Vicki Howle Robert Hoekstra, Jonathan Hu, Tamara Kolda, Richard Lehoucq, Kevin Long, Roger Pawlowski, Eric Phipps, Andrew Salinger, Heidi Thornquist, Ray Tuminaro, James Willenbring and Alan Williams: An Overview of Trilinos (SAND2003-2927) (2003)
veccore-dev
simple abstraction layer on top of other vectorization libraries
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It provides an architecture-independent API for expressing vector operations on data. Code written with this API can then be dispatched to one of several backends like Vc, or a scalar implementation. This allows one to get the best performance on platforms supported by Vc without losing portability to unsupported architectures like ARM and PowerPC, for example, where the scalar backend can be used instead without requiring changes in user code.

Please cite: Link to publication

Official Debian packages with lower relevance

cfortran
Header file permitting Fortran routines to be called in C/C++
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cfortran.h is an easy-to-use powerful bridge between C and FORTRAN. It provides a completely transparent, machine independent interface between C and FORTRAN routines (= subroutines and/or functions) and global data, i.e. structures and COMMON blocks.

fflas-ffpack-dev-doc
FFLAS-FFPACK Developer Documentation
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FFLAS-FFPACK consists in the creation of a set of routines, giving the same tools as a set of classical Basic Linear Algebra Subroutines, but working over finite fields. In the same way, some other routines of higher level (such as the one in LAPACK) are also produced.

This package provides developer's documentation of 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 User Documentation
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FFLAS-FFPACK consists in the creation of a set of routines, giving the same tools as a set of classical Basic Linear Algebra Subroutines, but working over finite fields. In the same way, some other routines of higher level (such as the one in LAPACK) are also produced.

This package provides user's documentation of 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
Developer Documentation for Givaro (obsolete)
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Givaro is a C++ library for arithmetic and algebraic computations. Its main features are implementations of the basic arithmetic of many mathematical entities: Primes fields, Extensions Fields, Finite Fields, Finite Rings, Polynomials, Algebraic numbers, and Arbitrary precision integers and rationals (C++ wrappers over gmp).

Givaro also provides data-structures and templated classes for the manipulation of basic algebraic objects, such as vectors, matrices (dense, sparse, structured), univariate polynomials (and therefore recursive multivariate).

It contains different program modules and is fully compatible with the LinBox linear algebra library and the Athapascan environment, which permits parallel programming.

This is a transitional dummy package, Debian no longer ships Developer Documentation for Givaro. This 'givaro-dev-doc' package can be safely removed from the system if no other package depends on it.

givaro-user-doc
User Documentation for Givaro (obsolete)
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Givaro is a C++ library for arithmetic and algebraic computations. Its main features are implementations of the basic arithmetic of many mathematical entities: Primes fields, Extensions Fields, Finite Fields, Finite Rings, Polynomials, Algebraic numbers, and Arbitrary precision integers and rationals (C++ wrappers over gmp).

Givaro also provides data-structures and templated classes for the manipulation of basic algebraic objects, such as vectors, matrices (dense, sparse, structured), univariate polynomials (and therefore recursive multivariate).

It contains different program modules and is fully compatible with the LinBox linear algebra library and the Athapascan environment, which permits parallel programming.

This is a transitional dummy package. The 'givaro-user-doc' package has been renamed to 'libgivaro-doc', which has been installed automatically. This 'givaro-user-doc' package can be safely removed from the system if no other package depends on it.

jsurf-alggeo
Java based visualization library for real algebraic geometry
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jsurf is a Java library to visualize some real algebraic geometry. It is and can be used as the visualization component in Java programs.

Beside the library, this package also provides a simple script driven tool for drawing real algebraic geometric surfaces, as well as some script samples. (This simple tool is similar to, but not compatible with, the tool surf-alggeo distributed within the package surf-alggeo.)

jsurf is free software distributed under the Apache 2.0 License.

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

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

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

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

This package contains the development files.

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

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

This package contains the development files.

libdune-istl-dev
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
package to enumerate vertices and extreme rays (development file)
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A convex polyhedron is the set of points satisfying a finite family of linear inequalities. The study of the vertices and extreme rays of such systems is important and useful in e.g. mathematics and optimization. In a dual interpretation, finding the vertices of a (bounded) polyhedron is equivalent to finding the convex hull (bounding inequalities) of an (arbitrary dimensional) set of points. Lrs (lexicographic reverse search) has two important features that can be very important for certain applications: it works in exact arithmetic, and it consumes memory proportional to the input, no matter how large the output is.

This package contains the optional headers, and a unversioned symlink to the library, useful for developers.

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
Fast updates of QR and Cholesky decompositions -- static library
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qrupdate is a Fortran library for QR and Cholesky decompositions. It is most notably used by Octave.

This package contains the static library.

libsollya-dev
library for safe floating-point code development -- libdev
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Sollya is both a tool environment and a library for safe floating-point code development. It offers a convenient way to perform computations with multiple precision interval arithmetic. It is particularly targeted to the automated implementation of mathematical floating-point libraries.

Initially, Sollya was intended more specifically for people implementing numerical functions in mathematical libraries (e.g., exp, arccos, tanh, etc.). Since then, the tool has evolved and has now become interesting not only to developers of mathematical libraries, but also to everyone who needs to perform numerical experiments in an environment that is safe with respect to round-off errors.

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

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

This package provides header file.

openturns-examples
examples of OpenTURNS functionalities
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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 examples which are written either in C++ or in Python.

They are primarly used as validation tests for the whole platform but they can also be seen as tutorials for beginners.

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.

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

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

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

python3-threadpoolctl
Python helpers for common threading libraries (BLAS, OpenMP)
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Thread-pool Controls provides Python helpers to limit the number of threads used in the threadpool-backed of common native libraries used for scientific computing and data science (e.g. BLAS and OpenMP).

Fine control of the underlying thread-pool size can be useful in workloads that involve nested parallelism so as to mitigate oversubscription issues.

sollya
library for safe floating-point code development -- tool
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Sollya is both a tool environment and a library for safe floating-point code development. It offers a convenient way to perform computations with multiple precision interval arithmetic. It is particularly targeted to the automated implementation of mathematical floating-point libraries.

Initially, Sollya was intended more specifically for people implementing numerical functions in mathematical libraries (e.g., exp, arccos, tanh, etc.). Since then, the tool has evolved and has now become interesting not only to developers of mathematical libraries, but also to everyone who needs to perform numerical experiments in an environment that is safe with respect to round-off errors.

This package provides the command-line tool sollya.

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

Debian packages in contrib or non-free

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

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

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

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

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

This package contains the headers and the static libraries.

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

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

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

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

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

This package contains files needed to develop programs using ParMetis.

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

AMD approximate minimum degree ordering

CAMD symmetric approximate minimum degree

BTF permutation to block triangular form (beta)

COLAMD column approximate minimum degree ordering

CCOLAMD constrained column approximate minimum degree ordering

CHOLMOD sparse Cholesky factorization

CSparse a concise sparse matrix package

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

KLU sparse LU factorization, primarily for circuit simulation

LDL a simple LDL' factorization

UMFPACK sparse LU factorization

UFconfig configuration file for all the above packages.

This package contains the static libraries and header files.

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

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

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

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

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

This package provides the Python interface

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

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

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

This implementation of the library belongs to the CLAPACK distribution.

This package contains a static version of the library.

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

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

This package contains the header file and the demo program.

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