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<p>For one type of polynomial matrices of simple structure, we establish a matrix of this kind oriented according to the characteristic roots. This matrix is uniquely determined by the values of some of its elements on a part of the characteristic roots. This enables us to solve the problem of classifying the selected type of matrices with accuracy to within semiscalar equivalence.</p>

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On the Classification of One Type of Polynomial Matrices of Simple Structure With Respect to Semiscalar Equivalence

  • 期刊论文

  • 发表日期：

    2026年5月13日

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  • B. Z. Shavarovskii

摘要

For one type of polynomial matrices of simple structure, we establish a matrix of this kind oriented according to the characteristic roots. This matrix is uniquely determined by the values of some of its elements on a part of the characteristic roots. This enables us to solve the problem of classifying the selected type of matrices with accuracy to within semiscalar equivalence.