• # REDUCE

• Referenced in 746 articles [sw00789]
• include: expansion and ordering of polynomials and rational functions; substitutions and pattern matching ... controlled simplification of expressions; calculations with symbolic matrices; arbitrary precision integer and real arithmetic; facilities...
• # EDIM

• Referenced in 9 articles [sw08560]
• should be useful for other types of matrices as well. Among the other functions ... inversion algorithm for large rational matrices (using a p-adic method), a program for finding...
• # Fermat

• Referenced in 41 articles [sw00277]
• integers and fractions, multivariate polynomials, symbolic calculations, matrices over polynomial rings, graphics, and other numerical ... toward polynomial and matrix algebra over the rationals Q and finite fields...
• # DrazinInverse

• Referenced in 2 articles [sw39043]
• matrices whose entries belong to different domains: complex numbers, polynomial entries, rational functions, formal Laurent ... Therefore, the package computes Drazin inverses of matrices whose entries are elements of a finite ... Drazin inverses, via Gröbner bases, of matrices with rational functions entries. More precisely, this paper ... named DrazinInverse, that computes Drazin inverses of matrices whose entries are elements of a finite...
• # QuillenSuslin

• Referenced in 13 articles [sw08611]
• over a polynomial ring. In terms of matrices, this algorithm completes a unimodular rectangular matrix ... matrix over the given polynomial ring with rational or integer coefficients. The package was also...
• # PowerSeries

• Referenced in 2 articles [sw20784]
• doing finitely many rational operations on polynomials or matrices over the usual coefficient fields ... capable of computing limits of rational functions in more than two variables while...
• # MPSolve

• Referenced in 14 articles [sw05298]
• involving polynomial computations. The interplay between structured matrices and polynomial computations plays an important role ... power series, interpolation problems, orthogonal polynomials and rational functions.Efficiency of the algorithms in terms...
• # CHAMP

• Referenced in 6 articles [sw08494]
• parameters and in Verma modules for restricted rational Cherednik algebras. Part of this package ... compute the Calogero–Moser families, the decomposition matrices of the Verma modules, and the structure ... graded G-modules for generic restricted rational Cherednik algebras for around half of the exceptional...
• # Givaro

• Referenced in 7 articles [sw00354]
• Polynomials, Algebraic numbers, Arbitrary precision integers and rationals (C++ wrappers over gmp) It also provides ... basic algebraic objects, such as vectors, matrices (dense, sparse, structured), univariate polynomials (and therefore recursive...
• # borderbasix

• Referenced in 1 article [sw16958]
• this package: numerical solutions from multiplication matrices, real radical computation, polynomial optimization. The implementation parameterized ... rational arithmetic. It relies on linear algebra solvers for dense and sparse matrices for these...
• # RNAalifold

• Referenced in 3 articles [sw17116]
• improved substantially by introducing a different, more rational handling of alignment gaps, and by replacing ... scoring with more sophisticated RIBOSUM-like scoring matrices. These improvements are achieved without compromising...
• # na25

• Referenced in 6 articles [sw11492]
• intersection of two plane curves given in rational parametric form [the general solution steps ... like the properties of Sylvester and Bézout matrices, a stopping criterion based on the concept...
• # KSVD

• Referenced in 2 articles [sw30531]
• Review, 2016), respectively. Based on the Zolotarev rational functions, introduced by Zolotarev in 1877, ZOLO ... within two iterations even for ill-conditioned matrices, instead of the original six iterations required...
• # NodePy

• Referenced in 6 articles [sw12306]
• sense that MATLAB is a laboratory for matrices. Some distinctive design goals are: Plug ... used for quantities such as coefficients: rational numbers (using SymPy’s Rational class) when available...