
Bertini
 Referenced in 170 articles
[sw06683]
 Numerical Algebraic Geometry. Software for solving polynomial systems. Finds isolated solutions using totaldegree start...

Normaliz
 Referenced in 119 articles
[sw00630]
 series and the Hilbert (or Ehrhart) (quasi) polynomial under a Zgrading (for example ... weighted) Ehrhart series and Lebesgue integrals of polynomials over rational polytopes via NmzIntegrate, a description...

MultRoot
 Referenced in 89 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...

Gfan
 Referenced in 99 articles
[sw04698]
 varieties. These are polyhedral fans associated to polynomial ideals. The maximal cones of a Gröbner ... Gröbner basis. The tropical variety of a polynomial ideal is a certain subcomplex...

ORTHPOL
 Referenced in 68 articles
[sw00659]
 package of routines for generating orthogonal polynomials and Gauss‐type quadrature rules. A collection ... numerical methods, are described for generating orthogonal polynomials relative to arbitrary weight functions. The object ... term recurrence relation satisfied by the orthogonal polynomials. Once these are known, additional data ... generated, such as zeros of orthogonal polynomials and Gausstype quadrature rules, for which routines...

na20
 Referenced in 68 articles
[sw11505]
 Design, analysis, and implementation of a multiprecision polynomial rootfinder. We present the design, analysis ... digits of the roots of a polynomial with complex coefficients. The real and the imaginary ... designed to deal also with numerically hard polynomials like those arising from the symbolic preprocessing ... systems of polynomial equations, where the degree and the size of the coefficients are typically...

Maxima
 Referenced in 117 articles
[sw00560]
 ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices, and tensors...

HOMPACK
 Referenced in 117 articles
[sw05324]
 included for the special case of polynomial systems...

gfun
 Referenced in 115 articles
[sw00344]
 functions defined by linear differential equations with polynomial coefficients, there is a procedure to compute...

BiCGstab
 Referenced in 109 articles
[sw04022]
 investigations of the BiCG part and the polynomial part. The second one is used...

LattE
 Referenced in 102 articles
[sw04654]
 ability to directly compute integrals of polynomial functions over polytopes and in particular...

Risa/Asir
 Referenced in 94 articles
[sw00806]
 operations, to algebraic objects, e.g., numbers and polynomials, which are already converted into internal forms...

Plural
 Referenced in 64 articles
[sw00719]
 system (CAS) developed for efficient computations with polynomials. We describe Plural as an extension ... Singular to noncommutative polynomial rings (G/GRalgebras): to which structures does it apply, the prerequisites...

RAGlib
 Referenced in 55 articles
[sw00774]
 library for real solving polynomial systems of equations and inequalities. RAGlib is a Maple package ... study of real solutions of polynomial systems of equations and inequalities such as testing ... RAGlib Maple package allows to solve polynomial systems of equations/inequalities over the reals. Provided functionalities...

Tyrolean
 Referenced in 86 articles
[sw07830]
 lexicographic path order, loop detection, matrix interpretation, polynomial interpretation, predictive labeling, recursive SCC, rootlabeling...

RATH
 Referenced in 85 articles
[sw00779]
 package RATH which outputs entirely automatically tanhpolynomial travelling solitary wave solutions of a given...

HOM4PS
 Referenced in 61 articles
[sw00410]
 HOM4PS2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method ... polyhedral homotopy continuation method for solving polynomial systems. It updates its original version HOM4PS...

SparsePOP
 Referenced in 52 articles
[sw04331]
 SparsePOP: a sparse semidefinite programming relaxation of polynomial optimization problems. SparsePOP is a Matlab implementation ... approximating a global optimal solution of a polynomial optimization problem (POP) proposed by Waki ... relaxation exploits a sparse structure of polynomials in POPs when applying “a hierarchy...

PolyBoRi
 Referenced in 40 articles
[sw00723]
 framework for Gröbnerbasis computations with Boolean polynomials. Boolean polynomials can be modelled ... ring of Boolean polynomials is, however, not a polynomial ring, but rather the quotient ring ... polynomial ring over the field with two elements modulo the field equations ... each variable x. Therefore, the usual polynomial data structures seem not to be appropriate...