
SINGULAR
 Referenced in 1362 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 1639 articles
[sw00537]
 quotient rings of graded or multigraded polynomial rings with a monomial ordering. The core...

REDUCE
 Referenced in 739 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 618 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 370 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 417 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 262 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...

GloptiPoly
 Referenced in 291 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...

ISOLATE
 Referenced in 208 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...

pchip
 Referenced in 347 articles
[sw10140]
 pchip. Piecewise Cubic Hermite Interpolating Polynomial (PCHIP...

PHCpack
 Referenced in 208 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...

eigs
 Referenced in 316 articles
[sw03702]
 shifted QRiteration, the author applies a polynomial filter to the Arnoldi (Lanczos) vector...

DDEBIFTOOL
 Referenced in 301 articles
[sw02396]
 connecting orbits are computed using piecewise polynomial collocation on adaptively refined meshes...

Octave
 Referenced in 279 articles
[sw00646]
 nonlinear equations, integrating ordinary functions, manipulating polynomials, and integrating ordinary differential and differentialalgebraic equations...

IRAM
 Referenced in 194 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...

Sostools
 Referenced in 268 articles
[sw00891]
 specify and solve sum of squares polynomial problems using a very simple, flexible, and intuitive...

FGb
 Referenced in 240 articles
[sw00286]
 efficient program written in C for solving polynomial systems. The purpose of the FGb library...

NTRU
 Referenced in 158 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...

Bertini
 Referenced in 217 articles
[sw06683]
 Numerical Algebraic Geometry. Software for solving polynomial systems. Finds isolated solutions using totaldegree start...