He J, Liu YM, Tian JK, Liu XH. Some new sharp bounds for the spectral radius of a nonnegative matrix and its application.
J Inequal Appl 2017;
2017:260. [PMID:
29104398 PMCID:
PMC5648768 DOI:
10.1186/s13660-017-1536-3]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 08/03/2017] [Accepted: 10/10/2017] [Indexed: 06/07/2023]
Abstract
In this paper, we give some new sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix. Using these bounds, we obtain some new and improved bounds for the signless Laplacian spectral radius of a graph or a digraph.
Collapse