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

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摘要

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.

论文关键词:Eigenvalue,Nonnegative tensor,Iterative method,Convergence,Positive definiteness

论文评审过程:Received 20 May 2010, Available online 10 June 2010.

论文官网地址:https://doi.org/10.1016/j.cam.2010.06.002