18 citations · 44 across the 14 of their papers we have counts for
14 papers
Centers and invariant straight lines of planar real polynomial vector fields and its configurations
Hongjin He, Changjian Liu, Dongmei Xiao
In the paper, we first give the least upper bound formula on the number of centers of planar real polynomial Hamiltonian vector fields. This formula reveals that the greater the nu…
A symmetric primal-dual algorithmic framework for saddle point problems
Hongjin He, Kai Wang, Jintao Yu
In this paper, we propose a new primal-dual algorithmic framework for a class of convex-concave saddle point problems frequently arising from image processing and machine learning.…
von Neumann type trace inequality for dual quaternion matrices
Chen Ling, Hongjin He, Liqun Qi +1
Dual quaternion matrices have important applications in multi-agent formation control. In this paper, we first address the concept of spectral norm of dual quaternion matrices. The…
"Sparse + Low-Rank'' Tensor Completion Approach for Recovering Images and Videos
Chenjian Pan, Chen Ling, Hongjin He +2
Recovering color images and videos from highly undersampled data is a fundamental and challenging task in face recognition and computer vision. By the multi-dimensional nature of c…
Low-Rank and Sparse Enhanced Tucker Decomposition for Tensor Completion
Chenjian Pan, Chen Ling, Hongjin He +2
Tensor completion refers to the task of estimating the missing data from an incomplete measurement or observation, which is a core problem frequently arising from the areas of big…
Properties of the solution set of generalized polynomial complementarity problems
Liyun Ling, Chen Ling, Hongjin He
In this paper, we consider the {\it generalized polynomial complementarity problem} (GPCP), which covers the recently introduced {\it polynomial complementarity problem} (PCP) and…
A nonnegativity preserving algorithm for multilinear systems with nonsingular M-tensors
Xueli Bai, Hongjin He, Chen Ling +1
This paper addresses multilinear systems of equations which arise in various applications such as data mining and numerical partial differential equations. When the multilinear sys…
Further study on tensor absolute value equations
Chen Ling, Weijie Yan, Hongjin He +1
In this paper, we consider the {\it tensor absolute value equations} (TAVEs), which is a newly introduced problem in the context of multilinear systems. Although the system of TAVE…
Generalized tensor equations with leading structured tensors
Weijie Yan, Chen Ling, Liyun Ling +1
The system of tensor equations (TEs) has received much considerable attention in the recent literature. In this paper, we consider a class of generalized tensor equations (GTEs). A…
On the properties of tensor complementarity problems
Wen Yu, Chen Ling, Hongjin He
Properties of solutions of the tensor complementarity problem (TCP) for structured tensors have been investigated in recent literature. In this paper, we make further contributions…
A class of second-order cone eigenvalue complementarity problems for higher-order tensors
Jiaojiao Hou, Chen Ling, Hongjin He
In this paper, we consider the second-order cone tensor eigenvalue complementarity problem (SOCTEiCP) and present three different reformulations to the model under consideration. S…
Higher-degree eigenvalue complementarity problems for tensors
Chen Ling, Hongjin He, Liqun Qi
In this paper, we introduce a unified framework of Tensor Higher-Degree Eigenvalue Complementarity Problem (THDEiCP), which goes beyond the framework of the typical Quadratic Eigen…
On the cone eigenvalue complementarity problem for higher-order tensors
Chen Ling, Hongjin He, Liqun Qi
In this paper, we consider the tensor generalized eigenvalue complementarity problem (TGEiCP), which is an interesting generalization of matrix eigenvalue complementarity problem (…
Error analysis of approximation algorithm for standard bi-quadratic programming
Chen Ling, Hongjin He, Liqun Qi
We consider the problem of approximately solving a standard bi-quadratic programming (StBQP), which is NP-hard. After reformulating the original problem as an equivalent copositive…