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Computing all solutions to polynomial systems using homotopy continuation

โœ Scribed by Alexander P. Morgan; Andrew J. Sommese


Book ID
107884581
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
64 KB
Volume
51
Category
Article
ISSN
0096-3003

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On homotopy continuation method for comp
โœ Xianjin Chen; Jianxin Zhou ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 595 KB

## Abstract Motivated by numerical examples in solving semilinear elliptic PDEs for multiple solutions, some properties of Newton homotopy continuation method, such as its continuation on symmetries, the Morse index, and certain functional structures, are established. Those results provide useful i