Hermiticity conditions for the product of two complex Toeplitz matrices (Q2898329)

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scientific article; zbMATH DE number 6057595
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Hermiticity conditions for the product of two complex Toeplitz matrices
scientific article; zbMATH DE number 6057595

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    16 July 2012
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    Hankel matrices
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    complex matrices
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    Toeplitz matrices
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    product of matrices
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    symmetry
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    commutation
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    group of transforms
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    Hermiticity
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    Hermiticity conditions for the product of two complex Toeplitz matrices (English)
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    Hermiticity conditions for the product of two complex Toeplitz matrices here is considered as a problem of finding a pair of complex Toeplitz matrices, which are reciprocally Hermitian symmetryzators. The methodology of this work is based upon presentation of commutators of certain numerical Toeplitz matrices as a sum of no more than two matrices of rank one, application of block matrices technique and coordinate-less treatment of vectors.
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