Matrix inequalities with applications to the theory of iterated kernels

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Matrix inequalities with applications to the theory of iterated kernels

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/10631

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Title: Matrix inequalities with applications to the theory of iterated kernels
Author: Banks, William David, 1964-; Harcharras, Asma; Neuwirth, Stefan; Ricard, Eric
Keywords: repeated kernel
square matrices
Date: 0000
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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  • Mathematics publications (MU) [119]
    The items in this collection are the scholarly output of the faculty, staff, and students of the Department of Mathematics.

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