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On a theorem of Wielandt and the compounds of unitary matrices - MaRDI portal

On a theorem of Wielandt and the compounds of unitary matrices (Q1322881)

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scientific article; zbMATH DE number 566111
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On a theorem of Wielandt and the compounds of unitary matrices
scientific article; zbMATH DE number 566111

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    On a theorem of Wielandt and the compounds of unitary matrices (English)
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    5 October 1994
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    The primary objective of this paper is to extend Wielandt's result to give information about the joint distribution of the eigenvalues of \(A- B\). The main tool in establishing this extension is a result on the compounds of unitary matrices. The success of a natural generalization of Brikhoff's famous result on doubly stochastic matrices (unitary matrices) exists, if one considers only a certain restricted subset of entries.
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    Wielandt theorem
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    Birkhoff theorem
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    distribution of eigenvalues
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    compounds of unitary matrices
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