Double B-tensors and quasi-double B-tensors

By Chaoqian Li, Yaotang Li. 2014

58 citations recorded by the source corpus.

Abstract In this paper, we propose two new classes of tensors: double B-tensors and quasi-double B-tensors, give some properties of double B-tensors and quasi-double B-tensors, discuss their relationships with B-tensors and positive definite tensors and show that even order symmetric double B-tensors and even order symmetric quasi-double B-tensors are positive definite. These give some checkable sufficient conditions for the positive definiteness of tensors.

Subfields: Computational Mathematics, Computational Mechanics, Radiology, Nuclear Medicine and Imaging

View Paper: https://www.semanticscholar.org/paper/198a0d451b2f5772ebcd757e7d262430ad4686db

How researchers see this paper

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In Computational Mathematics

1. Aiquan Jiao
2. Chaoqian Li
3. Yaotang Li

In Computational Mechanics

1. Aiquan Jiao
2. Chaoqian Li
3. Yaotang Li

In Radiology, Nuclear Medicine and Imaging

1. Aiquan Jiao
2. Chaoqian Li
3. Yaotang Li

Citations in the corpus

• An eigenvalue localization set for tensors with applications to determine the positive (semi-)definiteness of tensors (2016, background): “3 [35] Let B = (bi1···im ) ∈ R[m,n] with bi ···i > βi (B) for all i ∈ N .”
• An S-type eigenvalue localization set for tensors (2015, methodology): “Before that, we give some definitions in [5, 12, 28].”