Bounds on the Spectral Radius of a Nonnegative Matrix and Its Applications
We obtain the sharp bounds for the spectral radius of a nonnegative matrix and then obtain some known results or new results by applying these bounds to a graph or a digraph and revise and improve two known results.
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Format: | Article |
Language: | English |
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Wiley
2016-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2016/3812736 |
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author | Danping Huang Lihua You |
author_facet | Danping Huang Lihua You |
author_sort | Danping Huang |
collection | DOAJ |
description | We obtain the sharp bounds for the spectral radius of a nonnegative matrix and then obtain some known results or new results by applying these bounds to a graph or a digraph and revise and improve two known results. |
format | Article |
id | doaj-art-f538e0139096463ea4076b983fb3888f |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2016-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-f538e0139096463ea4076b983fb3888f2025-02-03T01:30:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422016-01-01201610.1155/2016/38127363812736Bounds on the Spectral Radius of a Nonnegative Matrix and Its ApplicationsDanping Huang0Lihua You1School of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaSchool of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaWe obtain the sharp bounds for the spectral radius of a nonnegative matrix and then obtain some known results or new results by applying these bounds to a graph or a digraph and revise and improve two known results.http://dx.doi.org/10.1155/2016/3812736 |
spellingShingle | Danping Huang Lihua You Bounds on the Spectral Radius of a Nonnegative Matrix and Its Applications Journal of Applied Mathematics |
title | Bounds on the Spectral Radius of a Nonnegative Matrix and Its Applications |
title_full | Bounds on the Spectral Radius of a Nonnegative Matrix and Its Applications |
title_fullStr | Bounds on the Spectral Radius of a Nonnegative Matrix and Its Applications |
title_full_unstemmed | Bounds on the Spectral Radius of a Nonnegative Matrix and Its Applications |
title_short | Bounds on the Spectral Radius of a Nonnegative Matrix and Its Applications |
title_sort | bounds on the spectral radius of a nonnegative matrix and its applications |
url | http://dx.doi.org/10.1155/2016/3812736 |
work_keys_str_mv | AT danpinghuang boundsonthespectralradiusofanonnegativematrixanditsapplications AT lihuayou boundsonthespectralradiusofanonnegativematrixanditsapplications |