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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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Title: Tropical Algebraic Geometry in Maple: A Preprocessing Algorithm for Finding Common Factors to Multivariate Polynomials with Approximate Coefficients
Author(s): Adrovic, Danko; Verschelde, Jan
Subject(s): multivariate polynomials tropical algebraic geometry approximate coefficient maple
Abstract: 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.
Issue Date: 2011-07
Publisher: Elsevier
Citation Info: Adrovic, D. & Verschelde, J. 2011. Tropical algebraic geometry in Maple: A preprocessing algorithm for finding common factors for multivariate polynomials with approximate coefficients. Journal of Symbolic Computation, 46(7): 755-772. DOI: 10.1016/j.jsc.2010.08.011
Type: Article
Description: 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.
URI: http://hdl.handle.net/10027/8209
ISSN: 0747-7171
Date Available in INDIGO: 2012-03-15
 

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