Further results on <i>B</i>-tensors with application to location of real eigenvalues

doi:10.1007/s11464-016-0545-8

Front. Math. China

2017, Vol. 12

Issue (6) : 1375-1392 https://doi.org/10.1007/s11464-016-0545-8

RESEARCH ARTICLE

Further results on B-tensors with application to location of real eigenvalues

Lu YE¹, Zhongming CHEN²(

)

¹. College of Economics and Management and Zhejiang Provincial Research Center for Ecological Civilization, Zhejiang Sci-Tech University, Hangzhou 310018, China
². Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou 310018, China

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Abstract

We give a further study on B-tensors and introduce doubly B-tensors that contain B-tensors. We show that they have similar properties, including their decompositions and strong relationship with strictly (doubly) diagonally dominated tensors. As an application, the properties of B-tensors are used to localize real eigenvalues of some tensors, which would be very useful in verifying the positive semi-definiteness of a tensor.

Keywords B-tensors doubly B-tensors eigenvalues of tensors decomposition of B-tensors decomposition of doubly B-tensors positive semi-definiteness

Corresponding Author(s): Zhongming CHEN

Issue Date: 27 November 2017

Cite this article:

Lu YE,Zhongming CHEN. Further results on B-tensors with application to location of real eigenvalues[J]. Front. Math. China, 2017, 12(6): 1375-1392.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-016-0545-8
https://academic.hep.com.cn/fmc/EN/Y2017/V12/I6/1375

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