lp_solve is a mixed integer linear programming solver based on the revised simplex and the branch-and-bound methods.

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, GNU Octave or SciPy.

The Zoltan library is a collection of data management services for parallel, unstructured, adaptive, and dynamic applications. It simplifies the load-balancing, data movement, unstructured communication, and memory usage difficulties that arise in dynamic applications such as adaptive finite-element methods, particle methods, and crash simulations. Zoltan's data-structure neutral design also lets a wide range of applications use it without imposing restrictions on application data structures. Its object-based interface provides a simple and inexpensive way for application developers to use the library and researchers to make new capabilities available under a common interface.

primecount is a command-line program and C/C++ library that counts the number of primes no greater than x (maximum 1031) using highly optimized implementations of the combinatorial prime counting algorithms.

SoftFPU is a C++ library implementing concrete and symbolic semantics for floating point numbers as defined in the IEEE-764 Standard for Floating-Point Arithmetic. It is templated in terms of the bit-vectors, propositions, floating-point formats and rounding mode types used. This allow the same code to be executed as an arbitrary precision library or to be used to build symbolic representations of floating-point operations.

This library implements the math.h functions in fixed point (16.16) format.

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

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.

Ruy is a matrix multiplication library. Its focus is to cover the matrix multiplication needs of neural network inference engines. Its initial user has been TensorFlow Lite, where it is used by default on the ARM CPU architecture.

Armadillo is a C++ linear algebra library, aiming towards a good balance between speed and ease of use. It is useful for algorithm development directly in C++, or quick conversion of research code into production environments. It can be used for machine learning, pattern recognition, signal processing, bioinformatics, statistics, econometrics, etc. The library provides efficient classes for vectors, matrices and cubes, as well as 150+ associated functions (e.g., contiguous and non-contiguous submatrix views).

Chuffed is a state of the art lazy clause solver designed from the ground up with lazy clause generation in mind. Lazy clause generation is a hybrid approach to constraint solving that combines features of finite domain propagation and Boolean satisfiability.

The C-library cddlib implements the Double Description Method of Motzkin et al. for generating all vertices (i.e. extreme points) and extreme rays of a general convex polyhedron given by a system of linear inequalities in arbitrary dimension. It can also be used for the converse operation of computing convex hulls.

NOMAD is a C++ implementation of the mesh-adaptive direct search (MADS) algorithm, designed for difficult blackbox optimization problems. These problems occur when the functions defining the objective and constraints are the result of costly computer simulations.

METIS is a set of serial programs for partitioning graphs, partitioning finite element meshes, and producing fill-reducing orderings for sparse matrices. The algorithms implemented in METIS are based on the multilevel recursive-bisection, multilevel k-way, and multi-constraint partitioning schemes.

GNU JACAL is an interactive symbolic mathematics program based on Scheme. It manipulate and simplify a range of mathematical expressions such as equations, scalars, vectors, and matrices.

This package provides a C++ interface to the NetCDF library for scientific data storage.

MiniZinc is a high-level modeling language for constraint satisfaction and optimization problems. Models are compiled to FlatZinc, a language understood by many solvers.

SUNDIALS is a family of software packages implemented with the goal of providing robust time integrators and nonlinear solvers that can easily be incorporated into existing simulation codes.

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.

OR-Tools is a C++ portable software suite, tuned for solving combinatorial optimization problems in vehicle routing, flows, integer, linear and constraint programming.

The Java HDF5 Interface (JHI5) uses the Java Native Interface to wrap the HDF5 library, which is implemented in C.

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

This package provides a range of SAT solvers, including the sequential lingeling and its parallel variants plingeling and treengeling. A bounded model checker is also included.

NetCDF is an interface for scientific data access and a software library that provides an implementation of the interface. The netCDF library defines a machine-independent format for representing scientific data. Together, the interface, library, and format support the creation, access, and sharing of scientific data.