Geodesic
Inequalities for the Maximal Eigenvalue of a Nonnegative Matrix
Glasgow mathematical journal, Tome 40 (1998) no. 2, p. 297

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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. 
Yeh, Lina. Inequalities for the Maximal Eigenvalue of a Nonnegative Matrix. Glasgow mathematical journal, Tome 40 (1998) no. 2, p. 297. doi: 10.1017/S0017089500032626
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[1] 1.Friedland, S. and Schneider, H., The growth of powers of a nonnegative matrix, SIAM J. Alg. Disc. Meth. 1 (1980), 185–200. Google Scholar | DOI

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