Properties of Some Classes of Structured Tensors

• DOI: 10.1007/s10957-014-0616-5
• Publication Date: 2014-07-10T15:35:27Z
• Authors: Yisheng Song; Liqun Qi
• Keywords: Theory of computation

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.<br/>arXiv admin note: text overlap with arXiv:1405.1288 by other authors<br/>