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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dc.contributor.author Banks, William David, 1964-
dc.contributor.author Harcharras, Asma
dc.contributor.author Neuwirth, Stefan
dc.contributor.author Ricard, Eric
dc.date.accessioned 2011-05-03T16:45:41Z
dc.date.available 2011-05-03T16:45:41Z
dc.date.issued 0000
dc.identifier.uri http://hdl.handle.net/10355/10631
dc.description NOTICE: this is the author's version of a work that was accepted for publication in Linear Algebra and its Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Linear Algebra and its Applications, Volume 362 (2003), pp.275-286. doi:10.1016/S0024-3795(02)00517-7. http://www.elsevier.com/locate/laa. en_US
dc.description.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. en_US
dc.language.iso en_US en_US
dc.relation.ispartof Mathematics publications (MU) en
dc.source.uri http://www.math.missouri.edu/~bbanks/papers/index.html http://www.ingentaconnect.com/content/els/00243795/2003/00000362/00000000/art00517?token=004714ffded841333c4a2f7a316a592c7446567674256f4f6d4e2224d62d2e0462f07c9 en_US
dc.subject repeated kernel en_US
dc.subject square matrices en_US
dc.title Matrix inequalities with applications to the theory of iterated kernels en_US
dc.type Preprint en_US
dc.relation.ispartofcommunity University of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics


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