
PHCpack
 Referenced in 185 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...

HOM4PS
 Referenced in 66 articles
[sw00410]
 solving polynomial systems by the polyhedral homotopy continuation method. HOM4PS2.0 is a software package ... FORTRAN 90 which implements the polyhedral homotopy continuation method for solving polynomial systems. It updates ... cells; (2) combining the polyhedral and linear homotopies in one step...

Bertini
 Referenced in 180 articles
[sw06683]
 systems, and also user defined homotopies. Implements parameter continuation for families of systems, such...

FPC_AS
 Referenced in 46 articles
[sw12218]
 basic twostage algorithm in a continuation (homotopy) approach by assigning a decreasing sequence...

PHoM
 Referenced in 30 articles
[sw04645]
 PHoM  a polyhedral homotopy continuation method for polynomial systems. PHoM is a software package ... polynomial systems using a polyhedral homotopy continuation method. Among three modules constituting the package ... StartSystem constructs a family of polyhedrallinear homotopy functions, based on the polyhedral homotopy theory...

MixedVol
 Referenced in 27 articles
[sw00581]
 solving polynomial systems by the polyhedral homotopy continuation method. The software leads existing codes...

NumericalAlgebraicGeometry
 Referenced in 16 articles
[sw12155]
 based on numerical polynomial homotopy continuation, which is an alternative to the classical symbolic approaches ... exhibit performance competitive with the other homotopy continuation software...

DEMiCs
 Referenced in 21 articles
[sw00196]
 polynomial system by polyhedral homotopy continuation method. A notable feature of DEMiCs...

POLSYS_PLP
 Referenced in 18 articles
[sw01238]
 evolution of both theory and codes. Homotopy (continuation) methods are a principal tool for such ... middle game of following a homotopy path is well understood at this point. The paper...

Hom4PS3
 Referenced in 10 articles
[sw08783]
 fields of mathematics, science, and engineering. Homotopy continuation methods has been proved ... numerical homotopy methods including the Polyhedral Homotopy continuation method. Based on the successful software package...

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

PHClab
 Referenced in 13 articles
[sw09668]
 software package for Polynomial Homotopy Continuation, to numerically solve systems of polynomial equations. The executable...

TenEig
 Referenced in 11 articles
[sw14671]
 tensor eigenvalue problems, we propose two homotopy continuation type algorithms to solve tensor eigenproblems. With ... combines a heuristic approach and a Newton homotopy method to extract real generalized eigenpairs from...

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

PHoMpara
 Referenced in 4 articles
[sw01928]
 PHoMparaparallel implementation of the polyhedral homotopy continuation method for polynomial systems The polyhedral homotopy ... continuation method (PHoM) is known to be a successful method for finding all isolated solutions ... constructing a family of modified polyhedral homotopy functions, tracing the solution curves of the homotopy ... size. Many characteristics of the polyhedral homotopy continuation method make parallel implementation efficient and provide...

Bertini.m2
 Referenced in 6 articles
[sw08784]
 variety of algorithms based on polynomial homotopy continuation. The Macaulay2 package Bertini.m2 provides an interface ... numerically from a variety, and perform parameter homotopy runs. In this talk, a short tutorial...

BertiniLab
 Referenced in 6 articles
[sw14295]
 MATLAB interface to the numerical homotopy continuation package Bertini is described. Bertini solves systems...

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

LPH
 Referenced in 3 articles
[sw26522]
 special homotopy continuation method for a class of polynomial systems. A special homotopy continuation method...

MonodromySolver
 Referenced in 2 articles
[sw27121]
 package MonodromySolver  solve polynomial systems via homotopy continuation and monodromy. This package provides randomized numerical ... described in ”Solving polynomial systems via homotopy continuation and monodromy” (2016), these methods pair numerical ... homotopy continuation with the transitive monodromy action of a suitable covering...