On normal form with respect to semiscalar equivalence of polynomial matrices over a field (Q2870338)
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scientific article; zbMATH DE number 6247718
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On normal form with respect to semiscalar equivalence of polynomial matrices over a field |
scientific article; zbMATH DE number 6247718 |
Statements
17 January 2014
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semiscalar equivalence
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normal form of matrix pencil
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polynomial matrices
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0.9333075
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0.8949588
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0.8945788
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0.89201903
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0.8903903
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0.8872751
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On normal form with respect to semiscalar equivalence of polynomial matrices over a field (English)
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In the paper a normal form with respect to semiscalar equivalence is established for a matrix pencil \(A_0\times -A_1\), in which \(A_0\) and \(A_1\) are \((n\times n)\)-matrices over an arbitrary field \(F\) and \(A_0\) is a nonsingular matrix. The author describes the structure of nonsingular polynomial matrices over the field \(F\) which are reduced to a normal form by semiscalar equivalence transformations.
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