In this paper, we equivalently reformulate the tensor complementarity problem as a system
of fixed point equations. Based on this system, we propose the (extend) randomized …

In order to process the large-scale data, a useful tool in dimensionality reduction of a matrix,
the CUR decomposition has been developed, which can compress the huge matrix with its …

The existence and uniqueness of solutions and fast algorithms for tensor complementarity
problems are hot topics in nowadays. We present a time-varying tensor complementarity …

In recent years, tensors have been applied to different applications in science and
engineering fields. In order to establish theory about tail bounds of the tensors summation …

This paper studies the issues about the Moore–Penrose inverse of tensors with the M-
product. The goal of this paper is threefold. Firstly, we define the Moore–Penrose inverse of …

Tensor operations play an essential role in various fields of science and engineering,
including multiway data analysis. In this study, we establish a few basic properties of the …

In this paper, we propose two decompositions extended from matrices to tensors, including
LU and QR decompositions with their rank-revealing and randomized variations. We give …

We propose the algebraic connectivity of an undirected 2 m-uniform hypergraph under the
Einstein product. We generalize the algebraic connectivity to a directed 2 m-uniform …

For solving the system of tensor equations A xm− 1= b, where x, b∈ R n and A is an m-order
n-dimensional real tensor, we introduce two greedy Kaczmarz-type methods: the tensor …