Journal article
Note on the end game in homotopy zero curve tracking
ACM transactions on mathematical software, Vol.22(3), pp.281-287
09/01/1996
DOI: 10.1145/232826.232843
Abstract
Homotopy algorithms to solve a nonlinear system of equations f(x) = 0 involve tracking the zero curve of a homotopy map p(a, λ, x) from λ = 0 until λ = 1. When the algorithm nears or crosses the hyperplane λ = 1, an "end game" phase is begun to compute the solution x¯ satisfying p(a, λ, x¯) = f(x¯) = 0. This note compares several end game strategies, including the one implemented in the normal flow code FIXPNF in the homotopy software package HOMPACK.
Details
- Title: Subtitle
- Note on the end game in homotopy zero curve tracking
- Creators
- Maria Sosonkina - Virginia TechLayne Watson - Virginia TechDavid Stewart - Texas A&M University
- Resource Type
- Journal article
- Publication Details
- ACM transactions on mathematical software, Vol.22(3), pp.281-287
- DOI
- 10.1145/232826.232843
- ISSN
- 0098-3500
- eISSN
- 1557-7295
- Publisher
- ACM
- Language
- English
- Date published
- 09/01/1996
- Academic Unit
- Mathematics
- Record Identifier
- 9984240863702771
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