General-purpose Computer Algebra Systems
- Macsyma, a general-purpose computer algebra system, which has a free GPL-licensed version called Maxima.
- MadArtSoft, a data analysis software with OLAP Cube, a report generator (see Project page of MadArtSoft).
- Madeline, a free GPL-licensed clone of Mathematica (now defunct: last update was 2005, see Projectpage of Madeline on Sourceforge).
- Maple, a general-purpose commercial mathematics software package.
- Mathcad offers a WYSIWYG interface and the ability to generate publication-quality mathematical equations.
- Mathematica offers numerical evaluation, optimization and visualization of a very wide range of numerical functions. It also includes a programming language and computer algebra capabilities.
- PARI/GP is a widely used computer algebra system designed for fast computations in number theory (factorizations, algebraic number theory, elliptic curves...), but also contains a large number of other useful functions to compute with mathematical entities such as matrices, polynomials, power series, algebraic numbers etc., and a lot of transcendental functions. PARI is also available as a C library to allow for faster computations.
- Sage is an open-source math software, with a unified Python interface which is available as a text interface or a graphical web-based one. Includes interfaces for open-source and proprietary general purpose CAS, and other numerical analysis programs, like PARI/GP, GAP, gnuplot, Magma, and Maple.
- Speakeasy is an interactive numerical environment also featuring an interpreted programming language. Born in the mid '60s for matrix manipulation and still in continuous evolution, it pioneered the most common paradigms of this kind of tools, featuring dynamic typing of the structured data objects, dynamic allocation and garbage collection, operators overloading, dynamic linking of compiled or interpreted additional modules contributed by the community of the users and so on.
- Trilinos is a collection of open source, object-oriented libraries for use in scientific and engineering applications. Trilinos is based on scalable, parallel linear algebra algorithms.
Read more about this topic: List Of Numerical Analysis Software
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