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Remarks on equality in Johnson's lower bounds for the smallest singular value of a matrix (Q1825251)

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scientific article; zbMATH DE number 4120321
Language Label Description Also known as
English
Remarks on equality in Johnson's lower bounds for the smallest singular value of a matrix
scientific article; zbMATH DE number 4120321

    Statements

    title
    Remarks on equality in Johnson's lower bounds for the smallest singular value of a matrix (English)
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    author
    Izchak Lewkowicz
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    publication date
    1989
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    review text
    The author derives a necessary condition for the lower bound of the smallest singular value given by \textit{C. R. Johnson} [ibid. 112, 1-7 (1989)] to hold with equality. The notions of (i) inverse radial matrix, and (ii) unitary similarity transformation to a maximally diagonally dominant matrix are also discussed.
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    zbMATH Keywords
    lower bound
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    smallest singular value
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    inverse radial matrix
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    maximally diagonally dominant matrix
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    reviewed by
    Prem Narain
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    Identifiers

    zbMATH DE Number
    4120321
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    OpenAlex ID
    W2045360103
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