
INTLAB
 Referenced in 419 articles
[sw04004]
 systems of nonlinear equations (including unconstrained optimization) roots of univariate and multivariate nonlinear equations (simple ... clusters) quadrature for univariate functions univariate polynomial zeros (simple and clusters) interval arithmetic for real ... computations, fast) Gradients (to solve systems of nonlinear equations) Hessians (for global optimization) Taylor series ... simple) univariate functions univariate and multivariate (interval) polynomials rigorous real interval standard functions (fast, very...

Maxima
 Referenced in 151 articles
[sw00560]
 Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices ... three dimensions. Computer algebra system...

Kronecker
 Referenced in 108 articles
[sw00495]
 computer algebra system for solving systems of polynomial equations and inequations. It is a prototype...

RAGlib
 Referenced in 63 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...

RegularChains
 Referenced in 71 articles
[sw00796]
 facilities for symbolic computations with systems of polynomial equations. In particular, it allows to compute...

na20
 Referenced in 73 articles
[sw11505]
 from the symbolic preprocessing of systems of polynomial equations, where the degree and the size...

REDUCE
 Referenced in 739 articles
[sw00789]
 mathematicians, scientists and engineers. Computer algebra system (CAS). It has been produced by a collaborative ... capabilities include: expansion and ordering of polynomials and rational functions; substitutions and pattern matching ... factorization of polynomials; facilities for the solution of a variety of algebraic equations; facilities...

CRACK
 Referenced in 57 articles
[sw07754]
 large bilinear algebraic systems is presented. The integrable polynomial vector evolution equations, quadratic Hamiltonians with ... structure and nonlocal 2+1dimensional evolution equations are studied. An overview of the computer ... algorithm designed to lengthreduce differential equations is presented. The program CRACK is a computer ... algebraic systems, ordinary, or partial differential equations with at most polynomial nonlinearity...

Epsilon
 Referenced in 39 articles
[sw00244]
 over algebraic extension fields, solve systems of polynomial equations and inequations, and handle and prove...

PHoM
 Referenced in 30 articles
[sw04645]
 input data for a given system of polynomial equations $f(x)= 0$. The second module ... traces the solution curves of the homotopy equations to compute all isolated solutions ... performance of PHoM include some large polynomial systems that have not been solved previously...

POLSYS_PLP
 Referenced in 18 articles
[sw01238]
 product homotopy code for solving polynomial systems of equations. The problem of solving large systems...

Normaliz
 Referenced in 149 articles
[sw00630]
 vertices or a system of linear homogeneous Diophantine equations, inequalities and congruences or a binomial ... 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 ... lattice under consideration by a system of inequalities, equations and congruences...

diffgrob2
 Referenced in 51 articles
[sw11328]
 package to simplify overdetermined systems of nonlinear differential equations of polynomial type. The algorithms...

Projective Noether
 Referenced in 15 articles
[sw00734]
 space of several families of multivariate polynomial equation systems are given and we point...

PDESpecialSolutions
 Referenced in 62 articles
[sw12342]
 differential equations (ODEs and PDEs). New algorithms are given to find exact polynomial solutions ... terms of Jacobi’s elliptic functions. For systems with parameters, the algorithms determine the conditions ... parameters so that the differential equations admit polynomial solutions in tanh, sech, combinations thereof, Jacobi...

HOMPACK
 Referenced in 120 articles
[sw05324]
 zeros or fixed points of nonlinear systems of equations that are globally convergent for almost ... tracking the homotopy zero curve: ordinary differential equationbased, normal flow, and augmented Jacobian matrix ... included for the special case of polynomial systems...

POLSYS_GLP
 Referenced in 9 articles
[sw07346]
 product homotopy code for solving polynomial systems of equations Globally convergent, probabilityone homotopy methods ... isolated solutions to polynomial systems of equations. After many years of development, homotopy path trackers ... solutions of a complex coefficient polynomial system of equations. The package is intended ... support a general linear product (GLP) polynomial system structure. GLP structure is intermediate between...

DISCOVERER
 Referenced in 54 articles
[sw07719]
 semialgebraic system (SAS for short) solving. An SAS consists of polynomial equations and polynomial ... Based on the work of complete discrimination systems of polynomials [33,31],, we invented...

Hom4PS3
 Referenced in 10 articles
[sw08783]
 need to numerically solve systems of polynomial equations occurs frequently in various fields of mathematics ... class of numerical methods for solving these systems. Hom4PS ... software package for solving systems of polynomial equations that implements many different numerical homotopy methods ... range of hardware architectures including multicore systems, computer clusters, distributed environments, and GPUs with...

Algorithm 919
 Referenced in 47 articles
[sw07350]
 large system of linear ordinary differential equations (ODEs) with polynomial inhomogeneity. This is equivalent...