On algebras of Toeplitz matrices (Q1102347)

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scientific article; zbMATH DE number 4049784
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On algebras of Toeplitz matrices
scientific article; zbMATH DE number 4049784

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    On algebras of Toeplitz matrices (English)
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    1987
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    A (scalar) Toeplitz matrix is a square matrix over the complex numbers which is constant along all diagonals parallel to the main diagonal. The fundamental question considered is: When is the inverse of a Toeplitz matrix Toeplitz? The author generalizes the known results and adapts them to deal with block-Toeplitz matrices whose entries are \(m\times m\) matrices. The title of the paper refers to a result in the scalar case; the maximal algebras of scalar Toeplitz matrices are described.
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    Toeplitz matrix
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    inverse
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    maximal algebras
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