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BLOPEX (Block Locally Optimal Preconditioned Eigenvalue Xolvers) is an open-source library for the scalable solution of eigenvalue problems. FFTW (Fastest Fourier Transform in the West) is a software library for computing Fourier and related transforms. GNU Scientific Library, a popular, free numerical analysis library implemented in C.
Maple is a symbolic and numeric computing environment as well as a multi-paradigm programming language. It covers several areas of technical computing, such as symbolic mathematics, numerical analysis, data processing, visualization, and others. A toolbox, MapleSim, adds functionality for multidomain physical modeling and code generation.
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.
Support for the algebraic computation of Clifford algebras was described in using SymbolicC++ in 2002. [7] Subsequently, support for Gröbner bases was added. [8] The third version [4] features a complete rewrite of SymbolicC++ and was released in 2008. This version encapsulates all symbolic expressions in the Symbolic class.
Basic solution (linear programming) — solution at vertex of feasible region; Fourier–Motzkin elimination; Hilbert basis (linear programming) — set of integer vectors in a convex cone which generate all integer vectors in the cone; LP-type problem; Linear inequality; Vertex enumeration problem — list all vertices of the feasible set
Symbolic integration of the algebraic function f(x) = x / √ x 4 + 10x 2 − 96x − 71 using the computer algebra system Axiom. In mathematics and computer science, [1] computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other ...
In computer programming, symbolic programming is a programming paradigm in which the program can manipulate its own formulas and program components as if they were plain data. [ 1 ] Through symbolic programming, complex processes can be developed that build other more intricate processes by combining smaller units of logic or functionality.
In mathematics and computer science, symbolic-numeric computation is the use of software that combines symbolic and numeric methods to solve problems. References [ edit ]