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Tropical Algebraic Geometry in Maple: A Preprocessing Algorithm for Finding Common Factors to Multivariate Polynomials with Approximate Coefficients

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journal contribution
posted on 15.03.2012 by Danko Adrovic, Jan Verschelde
Finding 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 on the exact exponents with numerical techniques on the approximate coefficients. With Maple we will illustrate our use of tropical algebraic geometry.

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Publisher Statement

NOTICE: this is the author’s version of a work that was accepted for publication in the Journal of Symbolic Computation. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in the Journal of Symbolic Computation, Vol 46, Issue 7, (July 2011) DOI: 10.1016/j.jsc.2010.08.011. The original publication is available at www.elsevier.com.

Publisher

Elsevier

Language

en_US

issn

0747-7171

Issue date

01/07/2011

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