B\'ezout Subresultants for Univariate Polynomials in General Basis
Symbolic Computation
2023-05-09 v1
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.
Cite
@article{arxiv.2305.03906,
title = {B\'ezout Subresultants for Univariate Polynomials in General Basis},
author = {Jing Yang and Wei Yang},
journal= {arXiv preprint arXiv:2305.03906},
year = {2023}
}