A set of polynomial -matrices of simple structure has been singled out, for which a so-called oriented by certain characteristic roots reduced matrix is established in the class of semiscalarly equivalent. The invariants of such reduced matrices and the conditions of their semiscalar equivalence are indicated. The obtained results will also be applied to the problem of similarity of sets of numerical matrices.

中文翻译：

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在半标量等价类中以特征根约简矩阵定向

一组多项式 -选出简单结构的矩阵，为此，在半标量等价类中建立了由某些特征根简化矩阵构成的所谓取向。指出了这类简化矩阵的不变量及其半标量等价的条件。所获得的结果还将应用于数值矩阵集的相似性问题。