On unitary similarity of matrices (Q584343)
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scientific article; zbMATH DE number 4134227
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On unitary similarity of matrices |
scientific article; zbMATH DE number 4134227 |
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On unitary similarity of matrices (English)
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1989
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The authors give a test for two \(n\times n\) nonsingular matrices with n distinct singular values to be unitarily similar. This depends on the equivalence of the traces of certain polynomials in the matrices and their adjoints. They remark that the method of proof can be extended to cover the situation when the matrices are singular and the nonzero singular values of the matrices have multiplicity 1.
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unitary similarity
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test
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singular values
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traces
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