The generalized monotonicity property of the Perron root

dc.contributor.author	Al'pin Y.
dc.contributor.author	Kolotilina L.
dc.date.accessioned	2018-09-18T20:19:23Z
dc.date.available	2018-09-18T20:19:23Z
dc.date.issued	2007
dc.identifier.issn	1072-3374
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/138705
dc.description.abstract	The paper presents a new monotonicity property of the Perron root of a nonnegative matrix. It is shown that this new property implies known monotonicity properties and also the Chistyakov two-sided bounds for the Perron root of a block-partitioned nonnegative matrix. Moreover, based on the monotonicity property suggested, the equality cases in Chistyakov's theorem are analyzed. Applications to bounding above the spectral radius of a complex matrix are presented. Bibliography: 9 titles. © 2007 Springer Science+Business Media, Inc.
dc.relation.ispartofseries	Journal of Mathematical Sciences
dc.title	The generalized monotonicity property of the Perron root
dc.type	Article
dc.relation.ispartofseries-issue	6
dc.relation.ispartofseries-volume	141
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	1576
dc.source.id	SCOPUS10723374-2007-141-6-SID33846944056

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.