Markov Chains: Models, Algorithms and Applications (International Series in Operations Research & Management Science)
D-eigenvalues of diffusion kurtosis tensors
Journal of Computational and Applied Mathematics
Eigenvalues of a real supersymmetric tensor
Journal of Symbolic Computation
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In this paper we propose an iterative method for calculating the largest eigenvalue of an irreducible nonnegative tensor. This method is an extension of a method of Collatz (1942) for calculating the spectral radius of an irreducible nonnegative matrix. Numerical results show that our proposed method is promising. We also apply the method to studying higher-order Markov chains.