English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

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

B\'ezout Subresultants for Univariate Polynomials in General Basis