
PHCpack
 Referenced in 201 articles
[sw00705]
 purpose solver for polynomial systems by homotopy continuation. Polynomial systems occur in a wide variety ... application domains. Homotopy continuation methods are reliable and powerful methods to compute numerically approximations ... been accomplished on exploiting structure in a polynomial system, in particular its sparsity. In this...

HOM4PS
 Referenced in 70 articles
[sw00410]
 software package for solving polynomial systems by the polyhedral homotopy continuation method. HOM4PS ... which implements the polyhedral homotopy continuation method for solving polynomial systems. It updates its original ... cells; (2) combining the polyhedral and linear homotopies in one step...

PHoM
 Referenced in 30 articles
[sw04645]
 PHoM  a polyhedral homotopy continuation method for polynomial systems. PHoM is a software package ... isolated solutions of polynomial systems using a polyhedral homotopy continuation method. Among three modules constituting ... family of polyhedrallinear homotopy functions, based on the polyhedral homotopy theory, from input data ... given system of polynomial equations $f(x)= 0$. The second module CMPSc traces the solution...

Bertini
 Referenced in 204 articles
[sw06683]
 Numerical Algebraic Geometry. Software for solving polynomial systems. Finds isolated solutions using totaldegree start ... systems, and also user defined homotopies. Implements parameter continuation for families of systems, such...

PHClab
 Referenced in 14 articles
[sw09668]
 PHCpack is a software package for Polynomial Homotopy Continuation, to numerically solve systems of polynomial...

NAG4M2
 Referenced in 13 articles
[sw08785]
 Geometry for Macaulay2), implements methods of polynomial homotopy continuation to solve systems of polynomial equations...

MixedVol
 Referenced in 29 articles
[sw00581]
 crucial for solving polynomial systems by the polyhedral homotopy continuation method. The software leads existing...

DEMiCs
 Referenced in 21 articles
[sw00196]
 isolated zeros of a polynomial system by polyhedral homotopy continuation method. A notable feature ... Mizutani, Takeda and Kojima for fully mixed polynomial systems, is extended to semimixed systems...

Bertini.m2
 Referenced in 8 articles
[sw08784]
 variety of algorithms based on polynomial homotopy continuation. The Macaulay2 package Bertini.m2 provides an interface...

phcpy
 Referenced in 5 articles
[sw15539]
 main executable phc (polynomial homotopy continuation) defined by the source code in PHCpack...

Phcmaple
 Referenced in 5 articles
[sw13452]
 algorithms for solving polynomial systems using polynomial homotopy continuation, which was recently extended with facilities...

PHoMpara
 Referenced in 4 articles
[sw01928]
 parallel implementation of the polyhedral homotopy continuation method for polynomial systems The polyhedral homotopy continuation ... isolated solutions of a system of polynomial equations. PHoM, an implementation of the method ... polynomial system by constructing a family of modified polyhedral homotopy functions, tracing the solution curves ... polynomial system of large size. Many characteristics of the polyhedral homotopy continuation method make parallel...

Hom4PS3
 Referenced in 10 articles
[sw08783]
 polynomial equations occurs frequently in various fields of mathematics, science, and engineering. Homotopy continuation methods ... polynomial equations that implements many different numerical homotopy methods including the Polyhedral Homotopy continuation method...

MonodromySolver
 Referenced in 3 articles
[sw27121]
 Macaulay2 package MonodromySolver  solve polynomial systems via homotopy continuation and monodromy. This package provides randomized ... polynomial equations. The main methods implemented in this package find solutions to polynomial systems ... numbers. As described in ”Solving polynomial systems via homotopy continuation and monodromy” (2016), these methods...

Bertini_real
 Referenced in 8 articles
[sw09933]
 variables. Using numerical homotopy continuation to solve a series of polynomial systems via regeneration from ... computed, along with connection information and associated homotopy functions. The challenge of embedded singular curves...

LPH
 Referenced in 3 articles
[sw26522]
 class of polynomial systems. A special homotopy continuation method, as a combination of the polyhedral ... isolated solutions to a special class of polynomial systems. The root number bound of this...

BertiniLab
 Referenced in 6 articles
[sw14295]
 systems of polynomial equations. A MATLAB interface to the numerical homotopy continuation package Bertini...

POLSYS_PLP
 Referenced in 18 articles
[sw01238]
 problem of solving large systems of polynomial equations arises in many application areas and poses ... evolution of both theory and codes. Homotopy (continuation) methods are a principal tool for such...

SIROCCO
 Referenced in 3 articles
[sw15155]
 homotopy continuation of a given root of one dimensional sections of bivariate complex polynomials...