15 citations · 114 across the 30 of their papers we have counts for
7 papers · 1 filter
A Low Rank Quaternion Decomposition Algorithm and Its Application in Color Image Inpainting
Yannan Chen, Liqun Qi, Xinzhen Zhang +1
In this paper, we propose a lower rank quaternion decomposition algorithm and apply it to color image inpainting. We introduce a concise form for the gradient of a real function in…
Quaternion Matrix Optimization and The Underlying Calculus
Liqun Qi, Ziyan Luo, Qingwen Wang +1
Optimization models involving quaternion matrices are widely used in color image process and other engineering areas. These models optimize real functions of quaternion matrix vari…
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…
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…
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…
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…