洛朗多项式矩阵的三角形式及其分解

Q3 Mathematics

Mathematical Modeling and Computing Pub Date : 2022-01-01 DOI:10.23939/mmc2022.01.119

M. Kuchma, A. Gatalevych

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引用次数: 0

摘要

研究了洛朗多项式矩阵的半标量等价问题，并根据该等价建立了该类矩阵及其有限集的三角形式。证明了洛朗多项式矩阵的正则化定理。这个定理被用于这类矩阵的分解问题。给出了具有预定Smith范式的正则乘子的Laurent多项式矩阵的分解判据。

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Triangular form of Laurent polynomial matrices and their factorization

The issue of the semiscalar equivalence of Laurent polynomial matrices is investigated and the triangular form of such matrices and their finite sets is established with respect to this equivalence. The theorem on regularization of a Laurent polynomial matrix is proved. This theorem is used in the problem of factorization of such matrices. The factorization criterion of a Laurent polynomial matrix with a regular multiplier with a predetermined Smith normal form is obtained.

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来源期刊

Mathematical Modeling and Computing Computer Science-Computational Theory and Mathematics

CiteScore

1.60

自引率

0.00%

发文量