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Procrustes problems for general, triangular, and symmetric Toeplitz matrices (Q1790072)

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scientific article; zbMATH DE number 6950823
Language Label Description Also known as
English
Procrustes problems for general, triangular, and symmetric Toeplitz matrices
scientific article; zbMATH DE number 6950823

    Statements

    title
    Procrustes problems for general, triangular, and symmetric Toeplitz matrices (English)
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    author
    Juan Yang
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    Yuanbei Deng
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    publication date
    10 October 2018
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    review text
    Summary: The Toeplitz Procrustes problems are the least squares problems for the matrix equation \(AX=B\) over some Toeplitz matrix sets. In this paper the necessary and sufficient conditions are obtained about the existence and uniqueness for the solutions of the Toeplitz Procrustes problems when the unknown matrices are constrained to the general, the triangular, and the symmetric Toeplitz matrices, respectively. The algorithms are designed and the numerical examples show that these algorithms are feasible.
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    Identifiers

    DOI
    10.1155/2013/696019
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    zbMATH DE Number
    6950823
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    Wikidata QID
    Q59003820
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    OpenAlex ID
    W2103661800
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