%0 Journal Article
%T Properties of Some Classes of Structured Tensors
%A Yisheng Song
%A Liqun Qi
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1403.1118v4