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 …

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

We have reviewed some theoretical and algorithmic developments for tensor
complementarity problems and related models in the first part and the second part of this …

With the coming of the big data era, high-order high-dimensional structured tensors received
much attentions of researchers' in recent years, and now they are developed into a new …

Stimulated by the study of sufficient matrices in linear complementarity problems, we study
column sufficient tensors and tensor complementarity problems. Column sufficient tensors …

A real symmetric tensor is said to be copositive if the associated homogeneous form is
greater than or equal to zero over the nonnegative orthant. The problem of detecting tensor …

Finding the maximum eigenvalue of a symmetric tensor is an important topic in tensor
computation and numerical multilinear algebra. In this paper, we introduce a new class of …

Copositivity of tensors plays an important role in vacuum stability of a general scalar
potential, polynomial optimization, tensor complementarity problem and tensor generalized …

Solution structures of tensor complementarity problem Page 1 Front. Math. China 2018, 13(4):
935–945 https://doi.org/10.1007/s11464-018-0675-2 Solution structures of tensor …