Computing singular solutions to polynomial systems
type: Item
instance of: scholarly article
title: Computing singular solutions to polynomial systems
zbMATH Open document ID: 0764.65030
DOI: 10.1016/0196-8858(92)90014-N
author: Alexander P. Morgan
author: Charles W. Wampler
author: Andrew J. Sommese
published in: Advances in Applied Mathematics
publication date: 1993-01-17T00:00:00Z
review text: A method to improve the accuracy of approximations to singular solutions of polynomial systems is presented. The method is established in a context of polynomial continuation; thus all solutions are generated, with the singular solution being approximated more accurately by standard implementations. The theorem on which the method is based is proven using results from several complex variables and algebraic geometry. A specific implementation is given and the results in solving four test problems are presented.
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 30C15
Mathematics Subject Classification ID: 12Y05
zbMATH DE Number: 98833
zbMATH Keywords: singular solutions
zbMATH Keywords: polynomial systems
zbMATH Keywords: polynomial continuation
zbMATH Keywords: implementation
zbMATH Keywords: test problems
reviewed by: Violeta A. Kostova
describes a project that uses: PITCON
describes a project that uses: HOMPACK
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 98833