Walker, S.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.
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| 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 |
|---|---|
| Uncontrolled keywords: | nonmaximal eigenvalues, reversible Markov chain, stochastic matrix |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Statistics |
| Depositing User: | Judith Broom |
| Date Deposited: | 12 Sep 2008 13:06 |
| Last Modified: | 14 Jan 2010 14:40 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/10578 (The current URI for this page, for reference purposes) |
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