Properties of Some Classes of Structured Tensors
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 non-negative tensor theory are also discussed.
principal sub-tensor p tensor \(\hbox {p}_0\)tensor b tensor \(\hbox {b}_0\)tensor eigenvalues 47h15 47h12 34b10 47a52 47j10 47h09 15a48 47h07