Computing Resultant of Quaternionic Polynomials

There are a number of ways to generalize the notion of the resultant to non-commutative polynomials, in particular, to quaternionic polynomials. We show that Erić's definition of the resultant admits similar optimization as the standard commutative resultant. Hence, it can be effectively computed.

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Publication Details

Journal
ACM communications in computer algebra
Published
2024-09-01
DOI
https://doi.org/10.1145/3717582.3717591
Citations
1
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.97
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article

Computing Resultant of Quaternionic Polynomials

Przemysław Koprowski
1 citations
ACM communications in computer algebra
Algebraic and Geometric Analysis
0.97
article

Computing Resultant of Quaternionic Polynomials

Przemysław Koprowski
article en
1 citations

Abstract

There are a number of ways to generalize the notion of the resultant to non-commutative polynomials, in particular, to quaternionic polynomials. We show that Erić's definition of the resultant admits similar optimization as the standard commutative resultant. Hence, it can be effectively computed.

ACM communications in computer algebraVol. 58(3)
Institute of Mathematics (PL), University of Silesia in Katowice (PL)
Openalex Percentile: Top 21%
Algebraic and Geometric Analysis
0.97
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Computing Resultant of Quaternionic Polynomials — Przemysław Koprowski · ACM communications in computer algebra (2024) | TGRS Research Map | TGRS