Minimal square spectral factors via triples (Q2719195)

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scientific article; zbMATH DE number 1608859
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Minimal square spectral factors via triples
scientific article; zbMATH DE number 1608859

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    21 June 2001
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    spectral factorization
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    minimal factorization
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    null-pole triples
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    square minimal spectral factors
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    rational matrix function taking positive semidefinite values
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    invariant subspaces
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    Minimal square spectral factors via triples (English)
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    The authors consider the problem of parametrizing the set of square minimal spectral factors of a rational matrix function taking positive semidefinite values (poles or zeros are admissible) on the imaginary axis in terms of invariant subspaces and of the minimal unitary left divisors of a certain unitary function. They use an approach which involves null-pole triples.
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