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

Xiao-Qiang  Lei

doi:doi:10.1553/etna_vol51s262

Ronny Ramlau, Lothar Reichel (Hg.)

ETNA - Electronic Transactions on Numerical Analysis

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

Xiao-Qiang Lei

ETNA - Electronic Transactions on Numerical Analysis, pp. 262-273, 2019/09/10

doi: 10.1553/etna_vol51s262

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doi:10.1553/etna_vol51s262

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.

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

ETNA

Published Online: 2019/09/10 13:10:16

Object Identifier: 0xc1aa5572 0x003ae518

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Ronny Ramlau, Lothar Reichel (Hg.)

ETNA - Electronic Transactions on Numerical Analysis

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

Abstract