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The generalized monotonicity property of the Perron root
Authors
Al'pin Y.
Kolotilina L.
Publication date
29 February 2020
Publisher
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
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Last time updated on 04/04/2020
National Open Repository Aggregator (NORA)
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:rour.neicon.ru:rour/178140
Last time updated on 04/04/2020