Title
Deterministically Factoring Sparse Polynomials into Multilinear Factors and Sums of Univariate Polynomials.
Abstract
We present the first efficient deterministic algorithm for factoring sparse polynomials that split into multilinear factorsand sums of univariate polynomials. Our result makes partial progress towards the resolution of the classical question posed by von zur Gathen and Kaltofen in [von zur Gathen/Kaltofen, J. Comp. Sys. Sci., 1985] to devise an efficient deterministic algorithm for factoring (general) sparse polynomials. We achieve our goal by introducing essential factorization schemes which can be thought of as a relaxation of the regular factorization notion.
Year
Venue
Field
2015
APPROX-RANDOM
Discrete mathematics,Combinatorics,Classical orthogonal polynomials,Macdonald polynomials,Discrete orthogonal polynomials,Jacobi polynomials,Factorization,Multilinear map,Mathematics,Factorization of polynomials,Difference polynomials
DocType
Citations 
PageRank 
Conference
1
0.35
References 
Authors
0
1
Name
Order
Citations
PageRank
Ilya Volkovich11458.64