Brualdi-type inclusion sets of Z-eigenvalues and l^k,s-singular values for tensors

Abstract

We give a Brualdi-type Z-eigenvalue inclusion set of tensors, and prove that it is tighter than the inclusion set given by G. Wang, G. L. Zhou, and L. Caccetta [Discrete Contin. Dyn. Syst. Ser. B, 2017, 22: 187–198] in a special case. We also give an inclusion set for l^k,s-singular values of rectangular tensors.

Keywords

Z-Eigenvalues / digraph / lk / ^s-singular values / rectangular tensors

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Higher Education Press