Publication
Title
Extracting numerical factors of multivariate polynomials from Taylor expansions
Author
Abstract
We present a method to extract factors of multivariate polynomials with complex coefficients in floating point arithmetic. We establish the connection between the reciprocal of a multivariate polynomial and its Taylor expansion. Since the multivariate Taylor coefficients are determined by the irreducible factors of the given polynomial, we reconstruct the factors from the Taylor expansion. As each irreducible factor, regardless of its multiplicity, can be separately extracted, our method can lead toward the complete numerical factorization of multivariate polynomials.
Language
English
Source (book)
Proceedings of the International Workshop on Symbolic-Numeric Computation, August 3-5, 2009, Kyoto, Japan / Kai, H. [edit.]; et al. [edit.]
Publication
New York, N.Y. : 2009
ISBN
978-1-60558-664-9
Volume/pages
p. 35-44
ISI
000273427300009
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 15.02.2010
Last edited 03.09.2017
To cite this reference