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<p>For polynomial matrices of simple structure, we construct a triangular form with respect to semiscalar equivalence oriented by characteristic roots. We determine some invariants of matrices oriented by the characteristic roots with respect to the semiscalar equivalence transformations. The form of the transforming matrices is established.</p>

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On the Triangular Form of a Polynomial Matrix of Simple Structure and Its Invariants with Respect to Semiscalar Equivalence

  • 期刊论文

  • 发表日期：

    2025年7月26日

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  • B. Z. Shavarovskii

摘要

For polynomial matrices of simple structure, we construct a triangular form with respect to semiscalar equivalence oriented by characteristic roots. We determine some invariants of matrices oriented by the characteristic roots with respect to the semiscalar equivalence transformations. The form of the transforming matrices is established.