[2304.00262] Two Variants of Bezout Subresultants for Several Univariate Polynomials
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Computer Science > Symbolic Computation

arXiv:2304.00262 (cs)
[Submitted on 1 Apr 2023 (v1), last revised 9 May 2023 (this version, v2)]

Title:Two Variants of Bezout Subresultants for Several Univariate Polynomials

Authors:Weidong Wang, Jing Yang
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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.
Subjects: Symbolic Computation (cs.SC)
Cite as: arXiv:2304.00262 [cs.SC]
  (or arXiv:2304.00262v2 [cs.SC] for this version)
  https://doi.org/10.48550/arXiv.2304.00262

Submission history

From: Jing Yang [view email]
[v1] Sat, 1 Apr 2023 08:38:06 UTC (177 KB)
[v2] Tue, 9 May 2023 00:58:06 UTC (177 KB)
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