Properties of Some Classes of Structured Tensors
arXiv:1403.1118
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.
arXiv admin note: text overlap with arXiv:1405.1288 by other authors
References in corpus (4)
- Positive Definiteness and Semi-Definiteness of Even Order Symmetric Cauchy Tensors
- Cored Hypergraphs, Power Hypergraphs and Their Laplacian H-Eigenvalues
- The Largest Laplacian and Signless Laplacian H-Eigenvalues of a Uniform Hypergraph
- Nonnegative Tensor Factorization, Completely Positive Tensors and an Hierarchical Elimination Algorithm