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

The M-matrix is an important concept in matrix theory, and has many applications. Recently,
this concept has been extended to higher order tensors [18]. In this paper, we establish …

We introduce M-tensors. This concept extends the concept of M-matrices. We denote Z-
tensors as the tensors with nonpositive off-diagonal entries. We show that M-tensors must be …

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 …

Moment and polynomial optimization has received high attention in recent decades. It has
beautiful theory and efficient methods, as well as broad applications for various …

The main purpose of this paper was to investigate some kinds of nonlinear complementarity
problems (NCP). For the structured tensors, such as symmetric positive-definite tensors and …

We calculate analytical vacuum stability or bounded from below conditions for general
scalar potentials of a few fields. After a brief review of copositivity, we show how to find …

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 …