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    Matrix inequalities with applications to the theory of iterated kernels

    Banks, William David, 1964-
    Harcharras, Asma
    Neuwirth, Stefan
    Ricard, Eric
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    [PDF] MatrixInequalities.pdf (149.7Kb)
    Date
    2003
    Format
    Preprint
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    Abstract
    For an m × n matrix A with nonnegative real entries, Atkinson, Moran and Watterson proved the inequality s(A)3 ≤ mns(AAtA), where At is the transpose of A, and s(·) is the sum of the entries. We extend this result to finite products of the form AAtAAt . . .A or AAtAAt . . .At and give some applications to the theory of iterated kernels.
    URI
    http://hdl.handle.net/10355/10631
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