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arXiv · 2305.03906

B\'ezout Subresultants for Univariate Polynomials in General Basis

Jing Yang·Wei Yang
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Abstract

Subresultant is a powerful tool for developing various algorithms in computer algebra. Subresultants for polynomials in standard basis (i.e., power basis) have been well studied so far. With the popularity of basis-preserving algorithms, resultants and subresultants in non-standard basis are drawing more and more attention. In this paper, we develop a formula for B\'ezout subresultants of univariate polynomials in general basis, which covers a broad range of non-standard bases. More explicitly, the input polynomials are provided in a given general basis and the resulting subresultants are B\'ezout-type expressions in the same basis. It is shown that the subresultants share the essential properties as the subresultants in standard basis.

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BibTeXRIS

Jing Yang, Wei Yang. 2023-05-06. B\'ezout Subresultants for Univariate Polynomials in General Basis. https://arxiv.org/abs/2305.03906

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