Bounds for the Z-eigenpair of general nonnegative tensors

Abstract

In this paper, we consider the Z-eigenpair of a tensor. A lower bound and an upper bound for the Z-spectral radius of a weakly symmetric nonnegative irreducible tensor are presented. Furthermore, upper bounds of Z-spectral radius of nonnegative tensors and general tensors are given. The proposed bounds improve some existing ones. Numerical examples are reported to show the effectiveness of the proposed bounds.

Keywords

• z-eigenvalues
• z-spectral radius
• weakly symmetric
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