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In this paper we propose a homotopy method to compute the largest eigenvalueand a corresponding eigenvector of a nonnegative tensor. We prove that itconverges to the desired eigenpair when the tensor is irreducible. We alsoimplement the method using an prediction-correction approach for pathfollowing. Some numerical results are provided to illustrate the efficiency ofthe method.

A homotopy method for computing the largest eigenvalue of an irreducible nonnegative tensor