165 citations · 297 across the 17 of their papers we have counts for
17 papers
An existence result for weakly homogeneous variational inequalities
Meng-Meng Zheng, Zheng-Hai Huang
In this paper, what we concern about is the weakly homogeneous variational inequality over a finite dimensional real Hilbert space. We achieve an existence result {under} copositiv…
Unique solvability of weakly homogeneous generalized variational inequalities
Xueli Bai, Zheng-Hai Huang, Mengmeng Zheng
An interesting observation is that most pairs of weakly homogeneous mappings have no strongly monotonic property, which is one of the key conditions to ensure the unique solvabilit…
T-positive semidefiniteness of third-order symmetric tensors and T-semidefinite programming
Meng-Meng Zheng, Zheng-Hai Huang, Yong Wang
The T-product for third-order tensors has been used extensively in the literature. In this paper, we first introduce the first-order and second-order T-derivatives for the multi-ve…
Minimal Integrity Bases of Invariants of Second Order Tensors in a Flat Riemannian Space
Liqun Qi, Zhenghai Huang
In this paper, we study invariants of second order tensors in an -dimensional flat Riemannian space. We define eigenvalues, eigenvectors and characteristic polynomials for secon…
Stationary probability vectors of higher-order two-dimensional transition probability tensors
Zheng-Hai Huang, Liqun Qi
In this paper we investigate stationary probability vectors of higher-order two-dimensional symmetric transition probability tensors. We show that there are two special symmetric t…
Positive Definiteness of Paired Symmetric Tensors and Elasticity Tensors
Zhenghai Huang, Liqun Qi
In this paper, we consider higher order paired symmetric tensors and strongly paired symmetric tensors. Elasticity tensors and higher order elasticity tensors in solid mechanics ar…
A Theoretical Perspective of Solving Phaseless Compressed Sensing via Its Nonconvex Relaxation
Guowei You, Zheng-Hai Huang, Yong Wang
As a natural extension of compressive sensing and the requirement of some practical problems, Phaseless Compressed Sensing (PCS) has been introduced and studied recently. Many theo…
Introduction to Tensor Variational Inequalities
Yong Wang, Zheng-Hai Huang, Liqun Qi
In this paper, we introduce a class of variational inequalities, where the involved function is the sum of an arbitrary given vector and a homogeneous polynomial defined by a tenso…
Copositivity Detection of Tensors: Theory and Algorithm
Haibin Chen, Zhenghai Huang, Liqun Qi
A symmetric tensor is called copositive if it generates a multivariate form taking nonnegative values over the nonnegative orthant. Copositive tensors have found important applicat…
Formulating an -person noncooperative game as a tensor complementarity problem
Zheng-Hai Huang, Liqun Qi
In this paper, we consider a class of -person noncooperative games, where the utility function of every player is given by a homogeneous polynomial defined by the payoff tensor…
On -Tensors
Zheng-Hai Huang, Yun-Yang Suo, Jie Wang
One of the central problems in the theory of linear complementarity problems (LCPs) is to study the class of -matrices since it characterizes the solvability of LCP. Recently, t…
Exceptionally Regular Tensors and Tensor Complementarity Problems
Yong Wang, Zheng-Hai Huang, Xue-Li Bai
Recently, many structured tensors are defined and their properties are discussed in the literature. In this paper, we introduce a new class of structured tensors, called exceptiona…
Global Uniqueness and Solvability for Tensor Complementarity Problems
Xue-Li Bai, Zheng-Hai Huang, Yong Wang
Recently, the tensor complementarity problem (TCP for short) has been investigated in the literature. An important question involving the property of global uniqueness and solvabil…
Minimum -Rank Approximation via Iterative Hard Thresholding
Min Zhang, Lei Yang, Zheng-Hai Huang
The problem of recovering a low -rank tensor is an extension of sparse recovery problem from the low dimensional space (matrix space) to the high dimensional space (tensor space…
A Splitting Augmented Lagrangian Method for Low Multilinear-Rank Tensor Recovery
Lei Yang, Zheng-Hai Huang, Yufan Li
This paper studies a recovery task of finding a low multilinear-rank tensor that fulfills some linear constraints in the general settings, which has many applications in computer v…
Finding the Spectral Radius of a Nonnegative Tensor
Shenglong Hu, Zheng-Hai Huang, Liqun Qi
In this paper, we introduce a new class of nonnegative tensors --- strictly nonnegative tensors. A weakly irreducible nonnegative tensor is a strictly nonnegative tensor but not vi…
E-Determinants of Tensors
Shenglong Hu, Zheng-Hai Huang, Chen Ling +1
We generalize the concept of the symmetric hyperdeterminants for symmetric tensors to the E-determinants for general tensors. We show that the E-determinant inherits many propertie…