Properties of Some Classes of Structured Tensors
Spectral Theory
2014-06-24 v4
Abstract
In this paper, we extend some classes of structured matrices to higher order tensors. We discuss their relationships with positive semi-definite tensors and some other structured tensors. We show that every principal sub-tensor of such a structured tensor is still a structured tensor in the same class, with a lower dimension. The potential links of such structured tensors with optimization, nonlinear equations, nonlinear complementarity problems, variational inequalities and the nonnegative tensor theory are also discussed.
Keywords
Cite
@article{arxiv.1403.1118,
title = {Properties of Some Classes of Structured Tensors},
author = {Yisheng Song and Liqun Qi},
journal= {arXiv preprint arXiv:1403.1118},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:1405.1288 by other authors