
HOM4PS
 Referenced in 70 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 ... method for finding mixed cells; (2) combining the polyhedral and linear homotopies in one step...

PHAVer
 Referenced in 107 articles
[sw04123]
 manage the complexity of the polyhedral computations, we propose methods to conservatively limit the number...

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 ... first module StartSystem constructs a family of polyhedrallinear homotopy functions, based on the polyhedral ... have been approximated correctly. We describe numerical methods used in each module and the usage...

Biq Mac
 Referenced in 66 articles
[sw10532]
 intersecting semidefinite and polyhedral relaxations. We present a method for finding exact solutions...

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]
 polynomial system by polyhedral homotopy continuation method. A notable feature of DEMiCs...

MINOTAUR
 Referenced in 18 articles
[sw06268]
 nonlinear optimization problems. We study methods for building polyhedral relaxations of multilinear terms that arise...

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

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

Bonmin
 Referenced in 180 articles
[sw04766]
 there is a need for developing new methods and software for solving largescale problems ... algorithms, of which branchandbound and polyhedral outer approximation are the two extreme cases...

Pareto navigator
 Referenced in 7 articles
[sw31872]
 nonlinear multiobjective optimization. In the method, first a polyhedral approximation of the Pareto optimal ... interesting region has been identified, the polyhedral approximation can be made more accurate in that ... continue with another interactive method from the solution obtained. Pareto navigator can be seen ... nonlinear extension of the linear Pareto race method. After the representative set of Pareto optimal...

DynamicPrevariety
 Referenced in 3 articles
[sw19962]
 first step in the application of polyhedral methods to compute positive dimensional solution sets ... implementation applies the thread safe Parma Polyhedral Library (PPL), in exact arithmetic with...

GEOMPACK
 Referenced in 10 articles
[sw00339]
 implemented. Our method generates meshes in polygonal or polyhedral regions specified by their boundary representation...

QSDPNAL
 Referenced in 20 articles
[sw18799]
 present a twophase augmented Lagrangian method, called QSDPNAL, for solving convex quadratic semidefinite programming ... equality and inequality constraints, a simple convex polyhedral set constraint, and a positive semidefinite cone ... Phase II, we design an augmented Lagrangian method (ALM) wherein the inner subproblem in each...

LPH
 Referenced in 3 articles
[sw26522]
 special homotopy continuation method, as a combination of the polyhedral homotopy and the linear product ... systems. The root number bound of this method is between the total degree bound ... experiments show its efficiency compared to the polyhedral or other homotopies on such systems...

CRIO
 Referenced in 18 articles
[sw04840]
 Optimization. CRIO separates data points in different polyhedral regions. In classification each region is assigned ... often outperforms the current leading methods in classification and regression. The second part describes...

PPROJ
 Referenced in 7 articles
[sw21258]
 barrier method that is targeted to problems with the structure of the polyhedral projection problem...

Cinolib
 Referenced in 1 article
[sw32938]
 recent growth of computational methods for general polygonal and polyhedral meshes, this paper introduces Cinolib...

hgm R
 Referenced in 16 articles
[sw08770]
 numerical analysis such as the RungeKutta method of solving ordinary differential equations and efficient ... statistics R. An implementation for the polyhedral probability is a project in progress. We find...

GRIFF
 Referenced in 1 article
[sw07443]
 coupled solver based on a Distinct Element Method (DEM) for the granular part, which enables ... consider particles of (polyhedral) arbitrary shape, and a FiniteElement Method for the ﬂuid part...