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.

翻译：本文针对多个多项式发展了两类Bezout子结式公式的变体，即混合型Bezout子结式多项式与非齐次Bezout子结式多项式。不同于简单地将Diaz-Toca与Gonzalez-Vega于2004年针对两个多项式提出的Bezout子结式公式变体直接推广至任意数量的多项式，我们提出了一种新方法，用以构造一组一元多项式的两类Bezout型子结式多项式变体。实验结果表明，在计算多多项式子结式时，Bezout型子结式公式的表现优于其他已知公式，其中非齐次Bezout型公式展现了最佳性能。