Partial indices of unitary and Hermitian matrix functions (Q610290)

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scientific article; zbMATH DE number 5824082
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Partial indices of unitary and Hermitian matrix functions
scientific article; zbMATH DE number 5824082

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    Partial indices of unitary and Hermitian matrix functions (English)
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    8 December 2010
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    It is shown that all partial indices of an even unitary matrix function of size \(n>1\) are equal to zero. New effective sufficient conditions for the existence of canonical factorization of Hermitian matrix functions of size \(2\) are found (when all its partial indices are equal to zero).
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    partial index
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    unitary matrix function
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    canonical factorization
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    Hermitian matrix functions
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