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SymPy is an open-source Python library for symbolic computation.It provides computer algebra capabilities either as a standalone application, as a library to other applications, or live on the web as SymPy Live [2] or SymPy Gamma. [3]
IMSL (International Mathematics and Statistics Library) is a commercial collection of software libraries of numerical analysis functionality that are implemented in the computer programming languages C, Java, C#.NET, and Fortran. A Python interface is also available.
SageMath is designed partially as a free alternative to the general-purpose mathematics products Maple and MATLAB. It can be downloaded or used through a web site. SageMath comprises a variety of other free packages, with a common interface and language. SageMath is developed in Python.
Both binaries and source code are available for SageMath from the download page. If SageMath is built from source code, many of the included libraries such as OpenBLAS, FLINT, GAP (computer algebra system), and NTL will be tuned and optimized for that computer, taking into account the number of processors, the size of their caches, whether there is hardware support for SSE instructions, etc.
31 October 2023: Free GPL: Primarily for statistics, but there are many interfaces to open-source numerical software SageMath: William Stein: 2005 10.2 3 December 2023: Free GPL: Programmable, includes computer algebra, 2D+3D plotting. Interfaces to many open-source and proprietary software. Web based interface HTTP or HTTPS: SAS
As powerful open‑source software under active development, HiGHS is increasingly being adopted by application software projects that provide support for numerical analysis. The SciPy scientific library, for instance, uses HiGHS as its LP solver [13] from release 1.6.0 [14] and the HiGHS MIP solver for discrete optimization from release 1.9.0 ...
2023.1 / 03.2023 Non-free Intel Simplified Software License Numerical analysis library optimized for Intel CPUs and GPUs. C++ SYCL based reference API implementation available in source for free. Math.NET Numerics: C. Rüegg, M. Cuda, et al. C# 2009 5.0.0 / 04.2022 Free MIT License: C# numerical analysis library with linear algebra support ...
11 February 2023 [23] Free GNU GPL: Mathematics software system combining a number of existing packages, including numerical computation, statistics and image processing: Scilab: Scilab Enterprises 1990 1990 2023.0: 10 March 2023: Free CeCILL (GPL-compatible) until version 5.5.2 GPL v2.0 since version 6.0.2 Matlab alternative. SINGULAR ...