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COMPUTING
2004
90views more  COMPUTING 2004»
13 years 5 months ago
PHoM - a Polyhedral Homotopy Continuation Method for Polynomial Systems
Takayuki Gunji, Sunyoung Kim, Masakazu Kojima, Aki...
COMPUTING
2006
127views more  COMPUTING 2006»
13 years 5 months ago
PHoMpara - Parallel Implementation of the Polyhedral Homotopy Continuation Method for Polynomial Systems
The polyhedral homotopy continuation method is known to be a successful method for finding all isolated solutions of a system of polynomial equations. PHoM, an implementation of t...
T. Gunji, S. Kim, K. Fujisawa, M. Kojima
ICPPW
2006
IEEE
13 years 11 months ago
Parallel Implementation of the Polyhedral Homotopy Method
Homotopy methods to solve polynomial systems are well suited for parallel computing because the solution paths defined by the homotopy can be tracked independently. For sparse po...
Jan Verschelde, Yan Zhuang
CORR
2011
Springer
160views Education» more  CORR 2011»
12 years 9 months ago
PHCpack in Macaulay2
The Macaulay2 package PHCpack.m2 provides an interface to some of the functionality of PHCpack, a general-purpose solver for polynomial systems by homotopy continuation. The main f...
Elizabeth Gross, Sonja Petrovic, Jan Verschelde
ISSAC
2007
Springer
99views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Computing monodromy via parallel homotopy continuation
Numerical homotopy continuation gives a powerful tool for the applied scientist who seeks solutions to a system of polynomial equations. Techniques from numerical homotopy continu...
Anton Leykin, Frank Sottile