American Institute of Mathematical Sciences

April  2019, 15(2): 507-516. doi: 10.3934/jimo.2018054

Exclusion sets in the Δ-type eigenvalue inclusion set for tensors

 School of Mathematics and Statistics, Yunnan University, Kunming 650091, China

* Corresponding author: Yaotang Li

Received  August 2017 Revised  October 2017 Published  April 2018

Fund Project: The first author is supported by National Natural Science Foundations of China (11361074).

By excluding some sets which don't include any eigenvalue of a given tensor from the Δ-type eigenvalue inclusion set, two new Δ-type eigenvalue inclusion sets of tensors are given. And two criteria for identifying nonsingular tensors are also provided by using the new Δ-type eigenvalue inclusion sets.

Citation: Yaotang Li, Suhua Li. Exclusion sets in the Δ-type eigenvalue inclusion set for tensors. Journal of Industrial & Management Optimization, 2019, 15 (2) : 507-516. doi: 10.3934/jimo.2018054
References:

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References:
$C(\mathcal{A}_{0})\nsubseteqq V(\mathcal{A}_{0})$ and $C(\mathcal{A}_{0})\nsupseteqq V(\mathcal{A}_{0})$.
$C(\mathcal{A}_{1})\subset \Theta(\mathcal{A}_{1})$.
$V(\mathcal{A}_{2})\subset \Theta(\mathcal{A}_{2})$.
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