Brualdi-type inclusion sets of Z-eigenvalues and lk,s-singular values for tensors

doi:10.1007/s11464-020-0837-x

Front. Math. China

2020, Vol. 15

Issue (3) : 601-612 https://doi.org/10.1007/s11464-020-0837-x

RESEARCH ARTICLE

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

Hongmei YAO(

), Li MA, Chunmeng LIU, Changjiang BU

School of Mathematical Sciences, Harbin Engineering University, Harbin 150001, China

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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

Corresponding Author(s): Hongmei YAO

Issue Date: 21 July 2020

Cite this article:

Hongmei YAO,Li MA,Chunmeng LIU, et al. Brualdi-type inclusion sets of Z-eigenvalues and l^k,s-singular values for tensors[J]. Front. Math. China, 2020, 15(3): 601-612.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-020-0837-x
https://academic.hep.com.cn/fmc/EN/Y2020/V15/I3/601

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