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1. Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor.

Author

Zhang, Liping and Qi, Liqun

Subjects
*STOCHASTIC convergence, *LINEAR systems, *ALGORITHMS, *EIGENVALUES, *TENSOR algebra, *ITERATIVE methods (Mathematics), *NUMERICAL analysis
Abstract

SUMMARY An iterative method for finding the largest eigenvalue of a nonnegative tensor was proposed by Ng, Qi, and Zhou in 2009. In this paper, we establish an explicit linear convergence rate of the Ng-Qi-Zhou method for essentially positive tensors. Numerical results are given to demonstrate linear convergence of the Ng-Qi-Zhou algorithm for essentially positive tensors. Copyright © 2011 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

Published
2012
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