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Inequalities for the Maximal Eigenvalue of a Nonnegative Matrix

Published online by Cambridge University Press:  18 May 2009

Lina Yeh
Lina Yeh
Affiliation:
Department of Mathematics, Soochow University, Taipei, Taiwan
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We gave an elementary proof of Theorem 4 in the paper, published in the Glasgow Mathematical Journal 39(1997), 275–284. The result provides an algorithm for approximating the maximal eigenvalue of a nonnegative matrix. Recently the author has learnt that the result can be proved immediately from Theorem 6.8 in [1]. Indeed, the paper [1] determines necessary and sufficient conditions for the convergence of an iterative sequence to the maximal eigenvalue. Their proof needs knowledge of graph theoretical concepts.

Type
Addendum
Information
Glasgow Mathematical Journal , Volume 40 , Issue 2 , May 1998 , pp. 297
Copyright
Copyright © Glasgow Mathematical Journal Trust 1998

References

1.Friedland, S. and Schneider, H., The growth of powers of a nonnegative matrix, SIAM J. Alg. Disc. Meth. 1 (1980), 185–200.CrossRefGoogle Scholar