On the parametrisation of unitary matrices by the moduli of their elements (Q1317407)
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scientific article; zbMATH DE number 529865
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the parametrisation of unitary matrices by the moduli of their elements |
scientific article; zbMATH DE number 529865 |
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On the parametrisation of unitary matrices by the moduli of their elements (English)
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4 July 1994
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The parametrisation of an \(n \times n\) unitary matrix by the moduli of its elements is not a well posed problem, i.e. there are continuous and discrete ambiguities which naturally appear. The paper shows that the continuous ambiguity is \((n-1) (n-3)\)-dimensional in the general case and \((n(n-3)/2)\)-dimensional in the symmetric case \(S_{ij}=S_{ji}\). Lower bounds on the number of discrete ambiguities are also given.
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parametrisation
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unitary matrix
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