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TitleTropical algebraic geometry in Maple: A preprocessing algorithm for finding common factors for multivariate polynomials with approximate coefficients
Author(s) Danko Adrovic, Jan Verschelde
TypeArticle in Journal
AbstractFinding a common factor of two multivariate polynomials with approximate coefficients is a problem in symbolic–numeric computing. Taking a tropical view of this problem leads to efficient preprocessing techniques, applying polyhedral methods to the exact exponents and numerical techniques to the approximate coefficients. With Maple we will illustrate our use of tropical algebraic geometry.
KeywordsAmoeba, Common factor, Maple, Multivariate polynomial, Newton polygon, Puiseux series, Tropical algebraic geometry, Tropism
ISSN0747-7171
URL http://www.sciencedirect.com/science/article/pii/S0747717110001410
LanguageEnglish
JournalJournal of Symbolic Computation
Volume46
Number7
Pages755 - 772
Year2011
NoteSpecial Issue in Honour of Keith Geddes on his 60th Birthday
Edition0
Translation No
Refereed No
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