Double B-tensor and quasi-double B-tensor
Rings and Algebras
2014-08-13 v1
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 positive definiteness of tensors.
Keywords
Cite
@article{arxiv.1408.2299,
title = {Double B-tensor and quasi-double B-tensor},
author = {Chaoqian Li and Yaotang Li},
journal= {arXiv preprint arXiv:1408.2299},
year = {2014}
}
Comments
15 pages, 0 figures