7 search results - page 1 / 2 » Regeneration homotopies for solving systems of polynomials |
MOC
2011
12 years 11 months ago
2011
We present a new technique, based on polynomial continuation, for solving systems of n polynomials in N complex variables. The method allows equations to be introduced one-by-one o...
FOCM
2010
13 years 2 months ago
2010
In [BP08], the average complexity of linear homotopy methods to solve polynomial equations with random initial input (in a sense to be described below) was proven to be finite, an...
COMPUTING
2006
13 years 4 months ago
2006
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...
ICPPW
2006
IEEE
13 years 10 months ago
2006
IEEE
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...
CAP
2010
12 years 11 months ago
2010
Homotopy continuation methods to solve polynomial systems scale very well on parallel machines. In this paper we examine its parallel implementation on multiprocessor multicore wo...