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 |
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Article number | 13266 |
Pages (from-to) | 141-153 |
Number of pages | 13 |
Journal | Linear Algebra and Its Applications |
Volume | 484 |
DOIs | |
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