Title
Towards factoring bivariate approximate polynomials
Abstract
A new algorithm is presented for factoring bivariate approximate polynomials over C[x, y]. Given a particular polynomial, the method constructs a nearby composite polynomial, if one exists, and its irreducible factors. Subject to a conjecture, the time to produce the factors is polynomial in the degree of the problem. This method has been implemented in Maple, and has been demonstrated to be efficient and numerically robust.
Year
DOI
Venue
2001
10.1145/384101.384114
ISSAC
Keywords
Field
DocType
particular polynomial,irreducible factor,nearby composite polynomial,new algorithm,bivariate approximate polynomial,grobner basis
Discrete mathematics,Combinatorics,Polynomial matrix,Minimal polynomial (field theory),Degree of a polynomial,Reciprocal polynomial,Matrix polynomial,Irreducible polynomial,Symmetric polynomial,Factorization of polynomials,Mathematics
Conference
ISBN
Citations 
PageRank 
1-58113-417-7
32
1.59
References 
Authors
18
5
Name
Order
Citations
PageRank
Robert M. Corless114321.54
Mark W. Giesbrecht2774.54
Mark Van Hoeij339344.57
Ilias S. Kotsireas416829.72
Stephen M. Watt567184.72