An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor

Authors:
Yongjun Liu;Guanglu Zhou;Nur Fadhilah Ibrahim
Affiliations:
Department of Mathematics, Linyi Normal University, Linyi 276005, Shandong, China;Department of Mathematics and Statistics, Curtin University of Technology, Perth, Australia;Department of Mathematics and Statistics, Curtin University of Technology, Perth, Australia
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

In this paper we propose an iterative method to calculate the largest eigenvalue of a nonnegative tensor. We prove this method converges for any irreducible nonnegative tensor. We also apply this method to study the positive definiteness of a multivariate form.