Canonical form of Involutory Matrices over the Domain of Principal Ideals with Respect to Similarity Transformations

被引：0

作者：

Prokip V.М. ^{[1
]}

机构：

[1] Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv

来源：

Journal of Mathematical Sciences | 2021年 / 258卷 / 4期

关键词：

domain of principal ideals; involutory matrix; matrix equation;

D O I：

10.1007/s10958-021-05558-1

中图分类号：

学科分类号：

摘要：

We describe the structure of involutory matrices over the domain of principal ideals with respect to the similarity transformation and construct a canonical form with respect to this transformation. As a consequence, we establish a criterion of similarity of the involutory matrices over the domain of principal ideals. The obtained results are applied to the description of the structure of solutions of the matrix equation X2 = In over the domain of principal ideals. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：437 / 445

页数：8

共 39 条

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