MB-tensors and MB0-tensors

Chaoqian Li; Liqun Qi; Yaotang Li

doi:10.1016/j.laa.2015.06.030

MB-tensors and MB₀-tensors

Chaoqian Li, Liqun Qi, Yaotang Li

Research output: Journal article publication › Journal article › Academic research › peer-review

18 Citations (Scopus)

Abstract

Abstract The class of MB- (MB₀-)tensors, which is a generation of B- (B₀-)tensors and quasi-double B- (B₀-)tensors, is proposed. And we prove that an even order symmetric MB- (MB₀-)tensor is positive (semi-)definite. By giving some conditions to determine MB- (MB₀-)tensors, some checkable sufficient conditions for the positive (semi-)definiteness of tensors are given.

Original language	English
Article number	13266
Pages (from-to)	141-153
Number of pages	13
Journal	Linear Algebra and Its Applications
Volume	484
DOIs	https://doi.org/10.1016/j.laa.2015.06.030
Publication status	Published - 11 Jul 2015

Keywords

B-tensors
MB-tensors
MB0-tensors
Positive definite
Quasi-double B-tensors

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

More information

10.1016/j.laa.2015.06.030

Cite this

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KW - Positive definite

KW - Quasi-double B-tensors

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