Two Variants of Bezout Subresultants for Several Univariate Polynomials
Symbolic Computation
2023-05-10 v2
Abstract
In this paper, we develop two variants of Bezout subresultant formulas for several polynomials, i.e., hybrid Bezout subresultant polynomial and non-homogeneous Bezout subresultant polynomial. Rather than simply extending the variants of Bezout subresultant formulas developed by Diaz-Toca and Gonzalez-Vega in 2004 for two polynomials to arbitrary number of polynomials, we propose a new approach to formulating two variants of the Bezout-type subresultant polynomials for a set of univariate polynomials. Experimental results show that the Bezout-type subresultant formulas behave better than other known formulas when used to compute multi-polynomial subresultants, among which the non-homogeneous Bezout-type formula shows the best performance.
Keywords
Cite
@article{arxiv.2304.00262,
title = {Two Variants of Bezout Subresultants for Several Univariate Polynomials},
author = {Weidong Wang and Jing Yang},
journal= {arXiv preprint arXiv:2304.00262},
year = {2023}
}