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

Lu Ye; Zhongming Chen

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

Spectral Theory 2016-04-29 v3

Authors: Lu Ye , Zhongming Chen

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.

Keywords

B-tensors doubly B-tensors tensor decomposition diagonally dominated tensors eigenvalue localization positive semi-definiteness

Cite

@article{arxiv.1408.4634,
  title  = {Further results on $B$-tensors with application to the location of real eigenvalues},
  author = {Lu Ye and Zhongming Chen},
  journal= {arXiv preprint arXiv:1408.4634},
  year   = {2016}
}

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

Abstract

Keywords

Cite

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