Tropical Algebraic Geometry in Maple, a preprocessing algorithm for finding common factors to multivariate polynomials with approximate coefficients
Algebraic Geometry
2008-09-02 v1 Numerical Analysis
Abstract
Finding a common factor of two multivariate polynomials with approximate coefficients is a problem in symbolic-numeric computing. Taking a tropical view on 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.
Cite
@article{arxiv.0809.0298,
title = {Tropical Algebraic Geometry in Maple, a preprocessing algorithm for finding common factors to multivariate polynomials with approximate coefficients},
author = {Danko Adrovic and Jan Verschelde},
journal= {arXiv preprint arXiv:0809.0298},
year = {2008}
}
Comments
20 pages, 8 figures, based on a talk the second author gave at MICA 2008: Milestones in Computer Algebra, a conference in honour of Keith Geddes' 60th Birthday, Stonehaven Bay, Trinidad and Tobago, 1-3 May 2008