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 |
|