10 citations · 26 across the 11 of their papers we have counts for
12 papers
Deterministic Dynamic Stackelberg Games: Time-Consistent Open-Loop Solution
Yuan-Hua Ni, Liping Liu, Xinzhen Zhang
In this paper, the known deterministic linear-quadratic Stackelberg game is revisited, whose open-loop Stackelberg solution actually possesses the nature of time inconsistency. To…
T-Quadratic Forms and Spectral Analysis of T-Symmetric Tensors
Liqun Qi, Xinzhen Zhang
An tensor is called a T-square tensor. It arises from many applications, such as the image feature extraction problem and the multi-view clustering problem. W…
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…
Positivity Conditions for Cubic, Quartic and Quintic Polynomials
Liqun Qi, Yisheng Song, Xinzhen Zhang
We present a necessary and sufficient condition for a cubic polynomial to be positive for all positive reals. We identify the set where the cubic polynomial is nonnegative but not…
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…
Copositivity of Three-Dimensional Symmetric Tensors
Liqun Qi, Yisheng Song, Xinzhen Zhang
In this paper, we seek analytically checkable necessary and sufficient condition for copositivity of a three-dimensional symmetric tensor. We first show that for a general third or…