The block-diagonal similarity and semi-scalar equivalence of polynomial matrices (Q2812861)
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scientific article; zbMATH DE number 6593002
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The block-diagonal similarity and semi-scalar equivalence of polynomial matrices |
scientific article; zbMATH DE number 6593002 |
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13 June 2016
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almost canonical form of matrix
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semi-scalar equivalence
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polynomial matrices
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The block-diagonal similarity and semi-scalar equivalence of polynomial matrices (English)
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The author presents a canonical form of the complex matrix \(B\) with respect to the similarity \(B\to S^{-1}BS\), where \(S\) is a direct sum of the invertible upper-triangular Toeplitz blocks. Necessary and sufficient conditions of semi-scalar equivalence are established for one type of polynomial matrices.
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