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B\'ezout Subresultants for Univariate Polynomials in General Basis

Author:
Jing Yang, Wei Yang
Keyword:
Computer Science, Symbolic Computation, Symbolic Computation (cs.SC)
journal:
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date:
2023-05-05 16:00:00
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.
PDF: B\'ezout Subresultants for Univariate Polynomials in General Basis.pdf
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