MB-tensors and MB0-tensors
Numerical Analysis
2014-12-02 v2
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. This provides a positive answer for the conjecture in Li and Li's paper [15] that an even order symmetric quasi-double B0-tensor is positive semi-definite.
Keywords
Cite
@article{arxiv.1411.6316,
title = {MB-tensors and MB0-tensors},
author = {Chaoqian Li and Yaotang Li},
journal= {arXiv preprint arXiv:1411.6316},
year = {2014}
}
Comments
This paper has been withdrawn by the author due to an error in Theorem 10