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The following tables provide a comparison of computer algebra systems (CAS). [ 1 ] [ 2 ] [ 3 ] A CAS is a package comprising a set of algorithms for performing symbolic manipulations on algebraic objects, a language to implement them, and an environment in which to use the language.
The development of the computer algebra systems in the second half of the 20th century is part of the discipline of "computer algebra" or "symbolic computation", which has spurred work in algorithms over mathematical objects such as polynomials. Computer algebra systems may be divided into two classes: specialized and general-purpose.
Magma includes the KANT computer algebra system for comprehensive computations in algebraic number fields. A special type also allows one to compute in the algebraic closure of a field. Module theory and linear algebra; Magma contains asymptotically fast algorithms for all fundamental dense matrix operations, such as Strassen multiplication ...
This is a category of articles relating to software which can be freely used, copied, studied, modified, and redistributed by everyone that obtains a copy: "free software" or "open source software". Typically, this means software which is distributed with a free software license , and whose source code is available to anyone who receives a copy ...
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.
Macaulay2 is built around fast implementations of algorithms useful for computation in commutative algebra and algebraic geometry. This core functionality includes arithmetic on rings, modules, and matrices, as well as algorithms for Gröbner bases, free resolutions, Hilbert series, determinants and Pfaffians, factoring, and similar.
A computer algebra system (CAS) or symbolic computation system is a system of software packages that facilitates symbolic mathematics. Typically, these systems include arbitrary precision arithmetic, allowing for instance to evaluate pi to 10,000 digits.
Xcas is a user interface to Giac, which is an open source [2] computer algebra system (CAS) for Windows, macOS and Linux among many other platforms. Xcas is written in C++. [3] Giac can be used directly inside software written in C++. Xcas has compatibility modes with many popular algebra systems like WolframAlpha, [4] Mathematica, [5] Maple ...