MUMPS (MUltifrontal Massively Parallel sparse direct Solver) solves a sparse system of linear equations A x = b using Gaussian elimination.

Yices is a solver for SMT problems. It can process input in SMT-LIB format or its own s-expression-based format.

HPCombi is a C++17 header-only library using the SSE and AVX instruction sets, and some equivalents, for very fast manipulation of combinatorial objects such as transformations, permutations, and boolean matrices of small size.

The C code of lrslib implements the reverse search algorithm for vertex enumeration and convex hull problems. Its input file format is compatible with cddlib. All computations are done exactly in either multiple precision or fixed integer arithmetic. Output is not stored in memory, so even problems with very large output sizes can sometimes be solved.

GKlib is a library of various helper routines and frameworks used by software from KarypisLab, such as METIS.

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.

PETSc, the Portable, Extensible Toolkit for Scientific Computation, 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. petsc4py provides Python bindings to almost all functions of PETSc.

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.

This package provides a Mathics3 frontend for Jupyter Notebook and Marimo.

The dSMFT package speeds up Fast Mersenne Twister generation by avoiding the expensive conversion of integer to double (floating point). dSFMT directly generates double precision floating point pseudorandom numbers which have the IEEE Standard for Binary Floating-Point Arithmetic (ANSI/IEEE Std 754-1985) format. dSFMT is only available on the CPUs which use IEEE 754 format double precision floating point numbers.

A pure Ruby AsciiMath parsing and conversion library. AsciiMath is an easy-to-write markup language for mathematics.

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 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.

Open CASCADE is a set of libraries for the development of applications dealing with 3D CAD data or requiring industrial 3D capabilities. It includes C++ class libraries providing services for 3D surface and solid modeling, CAD data exchange, and visualization. It is used for development of specialized software dealing with 3D models in design (CAD), manufacturing (CAM), numerical simulation (CAE), measurement equipment (CMM), and quality control (CAQ) domains.

This is the certified version of the Open Cascade Technology (OCCT) library.

CCOLAMD is library for computing a permutation vector for a matrix with which the LU factorization becomes sparser. It is a variant of COLAMD which has the the option to apply constraints to the ordering.

This package provides a SAT solver based on conflict-driven clause learning.

Ceres Solver is a C++ library for modeling and solving large, complicated optimization problems. It is a feature rich, mature and performant library which has been used in production since 2010. Ceres Solver can solve two kinds of problems:

1. non-linear least squares problems with bounds constraints;

2. general unconstrained optimization problems.

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

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

CVXOPT is a package for convex optimization based on the Python programming language. Its main purpose is to make the development of software for convex optimization applications straightforward by building on Python’s extensive standard library and on the strengths of Python as a high-level programming language.

CAMD is a set of routines for ordering a sparse matrix prior to Cholesky factorization (or for LU factorization with diagonal pivoting). It is a variant of AMD which has the the option to apply constraints to the ordering.

Z3 is a theorem prover and satisfiability modulo theories (SMT) solver. It provides a C/C++ API, as well as Python bindings.

SuiteSparse is a suite of sparse matrix algorithms, including: UMFPACK, multifrontal LU factorization; CHOLMOD, supernodal Cholesky; SPQR, multifrontal QR; KLU and BTF, sparse LU factorization, well-suited for circuit simulation; ordering methods (AMD, CAMD, COLAMD, and CCOLAMD); CSparse and CXSparse, a concise sparse Cholesky factorization package; and many other packages.

This package contains all of the above-mentioned parts.

Veusz is a scientific plotting and graphing program with a graphical user interface, designed to produce publication-ready 2D and 3D plots. In addition it can be used as a module in Python for plotting. It supports vector and bitmap output, including PDF, Postscript, SVG and EMF.

CGLM is an optimised 3D maths library for graphics software based on the GLSL specifications.

It's similar to the original C++ GLM library but written in C99 and compatible with C89.