
SINGULAR
 Referenced in 1192 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 1337 articles
[sw00537]
 quotient rings of graded or multigraded polynomial rings with a monomial ordering. The core...

REDUCE
 Referenced in 706 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 562 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...

OPQ
 Referenced in 306 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...

INTLAB
 Referenced in 350 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...

MersenneTwister
 Referenced in 236 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 186 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...

GloptiPoly
 Referenced in 233 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...

pchip
 Referenced in 314 articles
[sw10140]
 pchip. Piecewise Cubic Hermite Interpolating Polynomial (PCHIP...

eigs
 Referenced in 299 articles
[sw03702]
 shifted QRiteration, the author applies a polynomial filter to the Arnoldi (Lanczos) vector...

PHCpack
 Referenced in 184 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...

DDEBIFTOOL
 Referenced in 251 articles
[sw02396]
 connecting orbits are computed using piecewise polynomial collocation on adaptively refined meshes...

IRAM
 Referenced in 171 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...

Octave
 Referenced in 237 articles
[sw00646]
 nonlinear equations, integrating ordinary functions, manipulating polynomials, and integrating ordinary differential and differentialalgebraic equations...

Sostools
 Referenced in 234 articles
[sw00891]
 specify and solve sum of squares polynomial problems using a very simple, flexible, and intuitive...

FGb
 Referenced in 226 articles
[sw00286]
 efficient program written in C for solving polynomial systems. The purpose of the FGb library...

NTRU
 Referenced in 138 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...

NTL
 Referenced in 182 articles
[sw00638]
 length integers, and for vectors, matrices, and polynomials over the integers and over finite fields...