Walker, Stephen G. (2003) On recent Cheeger type bounds for non-maximal eigenvalues applied to positive matrices. Siam Journal on Matrix Analysis and Applications, 25 (2). pp. 574-581. ISSN 0895-4798. (doi:10.1137/S0895479802404684) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:10578)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1137/S0895479802404684 |
Abstract
This paper is concerned with Cheeger-type bounds for nonmaximal eigenvalues of nonnegative irreducible matrices. It is shown that recent upper bounds found by Nabben can be strictly improved when the matrices are positive, stochastic, and reversible, indicating the Nabben bounds are never sharp in this case.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1137/S0895479802404684 |
| Uncontrolled keywords: | nonmaximal eigenvalues, reversible Markov chain, stochastic matrix |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Judith Broom |
| Date Deposited: | 12 Sep 2008 13:06 UTC |
| Last Modified: | 16 Nov 2021 09:49 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/10578 (The current URI for this page, for reference purposes) |
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