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

Lu Ye; Zhongming Chen

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arXiv · 1408.4634

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

Lu Ye·Zhongming Chen

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Abstract

In this paper, 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.

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BibTeX RIS

Lu Ye, Zhongming Chen. 2014-08-20. Further results on $B$-tensors with application to the location of real eigenvalues. https://arxiv.org/abs/1408.4634

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