
HOM4PS
 Referenced in 72 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 ... mixed 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 ... solutions of polynomial systems using a polyhedral homotopy continuation method. Among three modules constituting ... first module StartSystem constructs a family of polyhedral ... linear homotopy functions, based on the polyhedral homotopy theory, from input data for a given...

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

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

Hom4PS3
 Referenced in 10 articles
[sw08783]
 different numerical homotopy methods including the Polyhedral Homotopy continuation method. Based on the successful software...

PHoMpara
 Referenced in 4 articles
[sw01928]
 PHoMparaparallel implementation of the polyhedral homotopy continuation method for polynomial systems The polyhedral homotopy ... constructing a family of modified polyhedral homotopy functions, tracing the solution curves of the homotopy ... large size. Many characteristics of the polyhedral homotopy continuation method make parallel implementation efficient...

LPH
 Referenced in 3 articles
[sw26522]
 method, as a combination of the polyhedral homotopy and the linear product homotopy, is proposed ... efficiency compared to the polyhedral or other homotopies on such systems. As an application...

CMPSm
 Referenced in 2 articles
[sw06209]
 also used for linear and polyhedral homotopies...

libtropicon
 Referenced in 2 articles
[sw25573]
 mixed volume, enumerating mixed cells, constructing polyhedral homotopies, etc. libtropicon is a library for computing...

ANSYS
 Referenced in 655 articles
[sw00044]
 ANSYS offers a comprehensive software suite that spans...

BARON
 Referenced in 311 articles
[sw00066]
 BARON is a computational system for solving nonconvex...

cdd
 Referenced in 110 articles
[sw00114]
 The program cdd+ (cdd, respectively) is a C...

CoCoA
 Referenced in 621 articles
[sw00143]
 CoCoA is a system for Computations in Commutative...

GAP
 Referenced in 2850 articles
[sw00320]
 GAP is a system for computational discrete algebra...

Kronecker
 Referenced in 108 articles
[sw00495]
 Kronecker is a package for Magma computer algebra...

LAPACK
 Referenced in 1626 articles
[sw00503]
 LAPACK is written in Fortran 90 and provides...

Macaulay2
 Referenced in 1658 articles
[sw00537]
 Macaulay2 is a software system devoted to supporting...

Magma
 Referenced in 2857 articles
[sw00540]
 Computer algebra system (CAS). Magma is a large...

Maple
 Referenced in 5036 articles
[sw00545]
 The result of over 30 years of cutting...

MARS
 Referenced in 5 articles
[sw00549]
 MARS: A MAPLE/MATLAB/C resultantbased solver. The authors...