Open Access
June, 2019 Bound Estimations on the Eigenvalues for Fan Product of $M$-tensors
Gang Wang, Yiju Wang, Lixia Liu
Taiwanese J. Math. 23(3): 751-766 (June, 2019). DOI: 10.11650/tjm/180905

Abstract

In this paper, we first explore some properties of $M$-tensors by showing that the Fan product of two $M$-tensors is an $M$-tensor, then establish lower bound estimations and upper bound estimations on the minimal eigenvalues of for Fan product of two $M$-tensors. Some inclusion relations among them are also obtained.

Citation

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Gang Wang. Yiju Wang. Lixia Liu. "Bound Estimations on the Eigenvalues for Fan Product of $M$-tensors." Taiwanese J. Math. 23 (3) 751 - 766, June, 2019. https://doi.org/10.11650/tjm/180905

Information

Received: 10 November 2017; Revised: 20 July 2018; Accepted: 9 September 2018; Published: June, 2019
First available in Project Euclid: 26 September 2018

zbMATH: 07068573
MathSciNet: MR3952250
Digital Object Identifier: 10.11650/tjm/180905

Subjects:
Primary: 15A18‎ , 15A69

Keywords: $M$-tensors , Fan product , nonnegative tensors

Rights: Copyright © 2019 The Mathematical Society of the Republic of China

Vol.23 • No. 3 • June, 2019
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