Companion “matrices” of multivariate polynomials

In this paper, the classical notion of the companion matrix of a polynomial is generalized to higher dimensions.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2025-05-07
DOI
https://doi.org/10.1142/s0219498826502233
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

Companion “matrices” of multivariate polynomials

Vakhtang Lomadze
Journal of Algebra and Its Applications
Matrix Theory and Algorithms
article

Companion “matrices” of multivariate polynomials

Vakhtang Lomadze
article en

Abstract

In this paper, the classical notion of the companion matrix of a polynomial is generalized to higher dimensions.

Journal of Algebra and Its Applications
Tbilisi State University (GE)
Openalex Percentile: Top 89%
Matrix Theory and Algorithms
DOISourceOpenAlex
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Companion “matrices” of multivariate polynomials — Vakhtang Lomadze · Journal of Algebra and Its Applications (2025) | TGRS Research Map | TGRS