Volume 51, pp. 262-273, 2019.

${}_{\delta }^{\gamma }\mathbf{\Phi }$-type inclusion set for eigenvalues of a tensor

Xiao-Qiang Lei

Abstract

In this paper, a new ${}_{\delta }^{\gamma }\mathbf{\Phi }$-type eigenvalue inclusion set for tensors is given, and some inclusion relations between this new inclusion set and other ones are presented. In addition, a new sufficient criterion for identifying nonsingular tensors is also provided by using the new ${}_{\delta }^{\gamma }\mathbf{\Phi }$-type eigenvalue inclusion set. Some numerical results are reported to show the superiority of the results.

Full Text (PDF) [380 KB], BibTeX , DOI: 10.1553/etna_vol51s262

Key words

tensor, eigenvalue, inclusion, nonsingular, ${}_{\delta }^{\gamma }\mathbf{\Phi }$-type.

AMS subject classifications

15A69, 15A18, 65F15, 65H17, 15A15, 65F40