M-Tensors and Some Applications

We introduce M-tensors. This concept extends the concept of M-matrices. We denote Z-tensors as the tensors with nonpositive off-diagonal entries. We show that M-tensors must be Z-tensors and the maximal diagonal entry must be nonnegative. The diagonal elements of a symmetric M-tensor must be nonnega...

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Bibliographic Details
Main Authors: Zhang, L., Qi, L., Zhou, Guanglu
Format: Journal Article
Published: Society for Industrial and Applied Mathematics 2014
Online Access:http://hdl.handle.net/20.500.11937/35236