
SINGULAR
 Referenced in 921 articles
[sw00866]
 Computer Algebra system (CAS) for polynomial computations in commutative algebra, algebraic geometry, and singularity theory ... large variety of baserings. The baserings are polynomial rings over a field (e.g., finite fields ... Tangent Cone algorithm. Furthermore, it provides polynomial factorizations, resultant, characteristic set and gcd computations, syzygy...

Macaulay2
 Referenced in 957 articles
[sw00537]
 quotient rings of graded or multigraded polynomial rings with a monomial ordering. The core...

REDUCE
 Referenced in 635 articles
[sw00789]
 capabilities include: expansion and ordering of polynomials and rational functions; substitutions and pattern matching ... syntax; analytic differentiation and integration; factorization of polynomials; facilities for the solution of a variety...

CoCoA
 Referenced in 476 articles
[sw00143]
 perform simple and sophisticated operations on multivaraiate polynomials and on various data related to them ... Poincare’ series and Hilbert functions, factorization of polynomials, toric ideals. The capabilities of CoCoA...

INTLAB
 Referenced in 271 articles
[sw04004]
 clusters) quadrature for univariate functions univariate polynomial zeros (simple and clusters) interval arithmetic for real ... simple) univariate functions univariate and multivariate (interval) polynomials rigorous real interval standard functions (fast, very...

OPQ
 Referenced in 193 articles
[sw11881]
 Orthogonal polynomials. Computation and approximation. Orthogonal polynomials are a widely used class of mathematical functions ... downloadable from the Internet, to generate orthogonal polynomials of a great variety: OPQ: A MATLAB ... SUITE OF PROGRAMS FOR GENERATING ORTHOGONAL POLYNOMIALS AND RELATED QUADRATURE RULES...

MersenneTwister
 Referenced in 175 articles
[sw05367]
 admit a Mersenneprime period. The characteristic polynomial has many terms. The distribution ... that checks the primitivity of the characteristic polynomial of MT with computational complexity ... where p is the degree of the polynomial. We implemented this generator in portable ... efficient algorithms that are unique to polynomial calculations over the twoelement field...

ISOLATE
 Referenced in 165 articles
[sw07741]
 Efficient isolation of polynomial’s real roots. This paper revisits an algorithm isolating the real ... roots of a univariate polynomial using Descartes’ rule of signs. It follows work of Vincent ... Krandick’s variant, independently of the input polynomial. From this new algorithm, we derive ... algorithm still works with huge polynomials, including orthogonal polynomials of degree 1000 and more, which...

eigs
 Referenced in 269 articles
[sw03702]
 shifted QRiteration, the author applies a polynomial filter to the Arnoldi (Lanczos) vector...

pchip
 Referenced in 266 articles
[sw10140]
 pchip. Piecewise Cubic Hermite Interpolating Polynomial (PCHIP...

GloptiPoly
 Referenced in 184 articles
[sw04343]
 GloptiPoly 3 can handle moment problems with polynomial data. Many important applications in e.g. optimization ... after some transformation) of the GPM with polynomial data.The approach is similar to that used...

PHCpack
 Referenced in 138 articles
[sw00705]
 PHCpack: A generalpurpose solver for polynomial systems by homotopy continuation Polynomial systems occur ... been accomplished on exploiting structure in a polynomial system, in particular its sparsity. In this...

FGb
 Referenced in 213 articles
[sw00286]
 efficient program written in C for solving polynomial systems. The purpose of the FGb library...

IRAM
 Referenced in 136 articles
[sw08795]
 Implicit application of polynomial filters in a kstep Arnoldi method. The author describes ... shifted QRiteration, the author applies a polynomial filter to the Arnoldi (Lanczos) vector...

DDEBIFTOOL
 Referenced in 178 articles
[sw02396]
 connecting orbits are computed using piecewise polynomial collocation on adaptively refined meshes...

Sostools
 Referenced in 160 articles
[sw00891]
 specify and solve sum of squares polynomial problems using a very simple, flexible, and intuitive...

Octave
 Referenced in 156 articles
[sw00646]
 nonlinear equations, integrating ordinary functions, manipulating polynomials, and integrating ordinary differential and differentialalgebraic equations...

NTRU
 Referenced in 107 articles
[sw11761]
 decryption use a mixing system suggested by polynomial algebra combined with a clustering principle based ... cryptosystem comes from the interaction of the polynomial mixing system with the independence of reduction...

MultRoot
 Referenced in 80 articles
[sw00604]
 MultRoot  a Matlab package for computing polynomial roots and multiplicities MultRoot is a collection ... Matlab modules for accurate computation of polynomial roots, especially roots with nontrivial multiplicities ... blackboxtype software, MultRoot requires the polynomial coefficients as the only input, and outputs ... without using multiprecision arithmetic, even if the polynomial coefficients are inexact. A comprehensive test suite...