Matrix theory is one of the most fundamental tools of mathematics and science, and a
number of classical books on matrix analysis have been written to explore this theory. As a …

Tensors, as geometric objects that describe linear or multi-linear relations between
geometric vectors, scalars, and other tensors, have provided a concise mathematical …

This paper is concerned with solving some structured multi-linear systems, especially
focusing on the equations whose coefficient tensors are M M-tensors, or called M M …

Finding the sparsest solutions to a tensor complementarity problem is generally NP-hard
due to the nonconvexity and noncontinuity of the involved ℓ _0 ℓ 0 norm. In this paper, a …

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 …

Recently, the tensor complementarity problem has been investigated in the literature. An
important question involving the property of global uniqueness and solvability for a class of …

In this paper, we prove that a real tensor is strictly semi-positive if and only if the
corresponding tensor complementarity problem has a unique solution for any nonnegative …

Tensors (hypermatrices) are multidimensional analogs of matrices. The tensor
complementarity problem is a class of nonlinear complementarity problems with the involved …

We propose a simple and natural definition for the Laplacian and the signless Laplacian
tensors of a uniform hypergraph. We study their H $^+ $-eigenvalues, ie, H-eigenvalues with …

In this paper, a new subclass of tensors is introduced and it is proved that this class of new
tensors can be defined by the feasible region of the corresponding tensor complementarity …