Power Function Method for Finding the Spectral Radius of Weakly Irreducible Nonnegative Tensors

Since the eigenvalue problem of real supersymmetric tensors was proposed, there have been many results regarding numerical algorithms for computing spectral radius nonnegative tensors, among which NQZ method is most studied. However, only suitable calculating a special weakly primitive tensor, or irreducible tensor that satisfies certain conditions. In this paper, by means diagonal similarrity transformation we construct algorithm with aid power functions. This calculation all tensors. Furthermore, it efficient and can be widely applied.