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Inverse spread limit of a nonnegative matrix.

dc.creatorAbueida, Atif
dc.creatorNielsen, Mark
dc.creatorTam, Tin-Yau
dc.date2011-01-07
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/109-122
dc.identifier10.4067/S0716-09172010000200004
dc.descriptionFor a given nonnegative n × n matrix A consider the following quantity as long as the denominator is positive. It is simply the ratio between the smallest and the largest entries of Am. We call s(Am) the inverse spread of Am which is interpreted as a measure of the maximum variation among the entries of Am in the multiplicative and reciprocal sense. Smaller s(Am) means a larger variation for Am. Clearly 0 = s(Am) = 1 for all m = 1, 2, . . . We study the asymptotic behavior of s(Am), that is, the behavior of s(Am) as m → ∞. The study arises from evolutionary biology.es-ES
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/109-122/pdf
dc.rightsCopyright (c) 2010 Proyecciones. Journal of Mathematicsen-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 29 No. 2 (2010); 109-122en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 29 Núm. 2 (2010); 109-122es-ES
dc.source0717-6279
dc.subjectNonnegative matriceses-ES
dc.subjectinverse spreades-ES
dc.subjectevolutionary biologyes-ES
dc.subjectDNAes-ES
dc.subjectmatrices no negativases-ES
dc.subjectdispersión inversaes-ES
dc.subjectbiología evolucionariaes-ES
dc.subjectADN.es-ES
dc.titleInverse spread limit of a nonnegative matrix.es-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US


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