• HOM4PS

  • Referenced in 69 articles [sw00410]
  • solving polynomial systems by the polyhedral homotopy continuation method. HOM4PS-2.0 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 polyhedral-linear 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 65 articles [sw10532]
  • intersecting semidefinite and polyhedral relaxations. We present a method for finding exact solutions...
  • MixedVol

  • Referenced in 28 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 17 articles [sw06268]
  • nonlinear optimization problems. We study methods for building polyhedral relaxations of multilinear terms that arise...
  • Hom4PS-3

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

  • Referenced in 4 articles [sw01928]
  • PHoMpara-parallel 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 178 articles [sw04766]
  • there is a need for developing new methods and software for solving large-scale problems ... algorithms, of which branch-and-bound 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 two-phase 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...
  • hgm R

  • Referenced in 16 articles [sw08770]
  • numerical analysis such as the Runge-Kutta 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...
  • IOP

  • Referenced in 2 articles [sw30545]
  • Inside-out Polyhedral Library: A C++ library of operations on polyhedra and hyperplane arrangements ... Theoretical and Computational Methods of Lattice Point Enumeration in Inside-out Polytopes, http://math.sfsu.edu/beck/teach/masters/andrewv.pdf....