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.

Saved in:
Bibliographic Details
Main Authors: Danping Huang, Lihua You
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2016/3812736
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832559388181659648
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