NDLI: Sparse bivariate polynomial factorization

Content Provider	Springer Nature Link
Author	Wu, WenYuan Chen, JingWei Feng, Yong
Copyright Year	2014
Abstract	Motivated by Sasaki’s work on the extended Hensel construction for solving multivariate algebraic equations, we present a generalized Hensel lifting, which takes advantage of sparsity, for factoring bivariate polynomial over the rational number field. Another feature of the factorization algorithm presented in this article is a new recombination method, which can solve the extraneous factor problem before lifting based on numerical linear algebra. Both theoretical analysis and experimental data show that the algorithm is efficient, especially for sparse bivariate polynomials.
Starting Page	2123
Ending Page	2142
Page Count	20
File Format	PDF
ISSN	16747283
Journal	Science in China Series A: Mathematics
Volume Number	57
Issue Number	10
e-ISSN	18691862
Language	English
Publisher	Science China Press
Publisher Date	2014-06-26
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	polynomial factorization sparse polynomial generalized Hensel lifting Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Sparse bivariate polynomial factorization