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Lower bounds for the Perron root of a non-negative irreducible matrix

Published online by Cambridge University Press:  24 October 2008

Emeric Deutsch
Emeric Deutsch
Affiliation:
Polytechnic Institute of New York
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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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References

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