Lower bounds for the Perron root of a non-negative irreducible matrix
Published online by Cambridge University Press: 24 October 2008
Extract
We derive a family of lower bounds for the Perron root of a non-negative irreducible matrix. These lower bounds are better than certain lower bounds of the Rayleigh quotient type, also derived in this paper. For the particular case of a symmetric non-negative irreducible matrix, our lower bound is always better than a corresponding Rayleigh quotient and, as shown in example 4, it can be infinitely better.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 92 , Issue 1 , July 1982 , pp. 49 - 54
- Copyright
- Copyright © Cambridge Philosophical Society 1982
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