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dc.contributor.authorBanks, William David, 1964-
dc.contributor.authorHarcharras, Asma
dc.contributor.authorNeuwirth, Stefan
dc.contributor.authorRicard, Eric
dc.descriptionNOTICE: 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.abstractFor 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.relation.ispartofMathematics publications (MU)en
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics
dc.source.urihttp://www.math.missouri.edu/~bbanks/papers/index.html http://www.ingentaconnect.com/content/els/00243795/2003/00000362/00000000/art00517?token=004714ffded841333c4a2f7a316a592c7446567674256f4f6d4e2224d62d2e0462f07c9en_US
dc.subjectrepeated kernelen_US
dc.subjectsquare matricesen_US
dc.titleMatrix inequalities with applications to the theory of iterated kernelsen_US

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