Abstract
We clarify some properties concerning Perron vectors of weakly irreducible nonnegative (WIN) tensors, and multi-linear systems with non-homogeneous left-hand side whose solutions are sub-vectors of the Perron vectors. Based on the properties, we propose an algorithm for computing interval vectors containing the Perron vectors. This algorithm is applicable to all the WIN tensors, whereas the algorithms previously developed by the author are applicable only to a subclass of the WIN tensors. Numerical results show efficiency of the proposed algorithm.
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