GNU Octave is a high-level interpreted language that is specialized for numerical computations. It can be used for both linear and non-linear applications and it provides great support for visualizing results. Work may be performed both at the interactive command-line as well as via script files.

GSEGrafix is an application which produces high-quality graphical plots for science and engineering. Plots are specified via simple ASCII parameter files and data files and are presented in an anti-aliased GNOME canvas. The program supports rectangular two-dimensional plots, histograms, polar-axis plots and three-dimensional plots. Plots can be printed or saved to BMP, JPEG or PNG image formats.

SuiteSparse is a suite of sparse matrix algorithms. This package contains a library with common configuration options.

SLEPc is a software library for the solution of large sparse eigenproblems on parallel computers. It can be used for the solution of linear eigenvalue problems formulated in either standard or generalized form, as well as other related problems such as the singular value decomposition. The emphasis of the software is on methods and techniques appropriate for problems in which the associated matrices are sparse, for example, those arising after the discretization of partial differential equations.

SCOTCH is a set of programs and libraries which implement the static mapping and sparse matrix reordering algorithms developed within the SCOTCH project. Its purpose is to apply graph theory, with a divide and conquer approach, to scientific computing problems such as graph and mesh partitioning, static mapping, and sparse matrix ordering, in application domains ranging from structural mechanics to operating systems or bio-chemistry.

Mongoose is a library for graph partitioning by computing edge cuts using a coarsening and refinement framework.

Metamath is a tiny formal language and that can express theorems in abstract mathematics, with an accompyaning metamath executable that verifies databases of these proofs. There is a public database, set.mm, implementing first-order logic and Zermelo-Frenkel set theory with Choice, along with a large swath of associated, high-level theorems, e.g.: the fundamental theorem of arithmetic, the Cauchy-Schwarz inequality, Stirling's formula, etc. See the Metamath book.

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 basic DUNE grid classes.

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 perform an LU decomposition with partial pivoting and triangular system solves through forward and back substitution. The library also provides threshold-based ILU factorization preconditioners.

4ti2 implements algorithms for solving algebraic, geometric and combinatorial problems on linear spaces. Among others, it solves systems of linear equations, computes extreme rays of polyhedral cones, solves integer programming problems and computes Markov bases for statistics.

Matio is a library for reading and writing MAT files. It supports compressed MAT files, as well as newer (version 7.3) MAT files.

LinAsm is collection of very fast and SIMD optimized assembly written libraries for x86-64.

It implements many common and widely used algorithms for array manipulations: searching, sorting, arithmetic and vector operations, unit conversions; fast mathematical and statistic functions; numbers and time converting algorithms; finite impulse response (FIR) digital filters; spectrum analysis algorithms, Fast Hartley transformation; CPU cache friendly functions and extremely fast abstract data types (ADT) such as hash tables b-trees, and much more.

Bitwuzla is a SMT solver for the theories of fixed-size bit-vectors, floating-point arithmetic, arrays, uninterpreted functions and their combinations.

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).

UMFPACK is a set of routines for solving unsymmetric sparse linear systems using the Unsymmetric MultiFrontal method and direct sparse LU factorization.

SCOTCH is a set of programs and libraries which implement the static mapping and sparse matrix reordering algorithms developed within the SCOTCH project. Its purpose is to apply graph theory, with a divide and conquer approach, to scientific computing problems such as graph and mesh partitioning, static mapping, and sparse matrix ordering, in application domains ranging from structural mechanics to operating systems or bio-chemistry.

HYPRE is a software library of high performance preconditioners and solvers for the solution of large, sparse linear systems of equations. It features multigrid solvers for both structured and unstructured grid problems.

OpenBLAS is a Basic Linear Algebra Subprograms (BLAS) library forked from the GotoBLAS2-1.13 BSD version.

GNU XaoS is a graphical program that generates fractal patterns and allows you to zoom in and out of them infinitely in a fluid, continuous manner. It also includes tutorials that help to explain how fractals are built. It can generate many different fractal types such as the Mandelbrot set.

CyLP is a Python interface to COIN-OR’s Linear and mixed-integer program solvers (CLP, CBC, and CGL). CyLP’s unique feature is that you can use it to alter the solution process of the solvers from within Python. For example, you may define cut generators, branch-and-bound strategies, and primal/dual Simplex pivot rules completely in Python.

Cbc (Coin-or branch and cut) is a mixed integer linear programming solver written in C++. It can be used as a library or as a standalone executable.

HDF5 is a suite that makes possible the management of extremely large and complex data collections.

HDF5 is a suite that makes possible the management of extremely large and complex data collections.

SPEX is a set of routines for sparse exact linear algebra. It contains the SPEX Left LU library for computing a sparse exact left-looking LU factorization for solving unsymmetric sparse linear systems.