4 citations · 6 across the 9 of their papers we have counts for
10 papers
A metric function for dual quaternion matrices and related least-squares problems
Chen Ling, Chenjian Pan, Liqun Qi
Solving dual quaternion equations is an important issue in many fields such as scientific computing and engineering applications. In this paper, we first introduce a new metric fun…
Quasi-determinant and right eigenvalues of dual quaternion matrices
Chen Ling, Liqun Qi
Dual quaternion/complex matrices have important applications in brain science and multi-agent formation control. In this paper, we first study some basic properties of determinants…
A Randomized Block Krylov Method for Tensor Train Approximation
Gaohang Yu, Jinhong Feng, Zhongming Chen +2
Tensor train decomposition is a powerful tool for dealing with high-dimensional, large-scale tensor data, which is not suffering from the curse of dimensionality. To accelerate the…
Variable T-Product and Zero-Padding Tensor Completion with Applications
Liqun Qi, Rui Yan, Ziyan Luo +2
The T-product method based upon Discrete Fourier Transformation (DFT) has found wide applications in engineering, in particular, in image processing. In this paper, we propose vari…
Practical Sketching Algorithms for Low-Rank Tucker Approximation of Large Tensors
Wandi Dong, Gaohang Yu, Liqun Qi +1
Low-rank approximation of tensors has been widely used in high-dimensional data analysis. It usually involves singular value decomposition (SVD) of large-scale matrices with high c…
A regularization-patching dual quaternion optimization method for solving the hand-eye calibration problem
Zhongming Chen, Chen Ling, Liqun Qi +1
The hand-eye calibration problem is an important application problem in robot research. Based on the 2-norm of dual quaternion vectors, we propose a new dual quaternion optimizatio…
Multi-mode Tensor Train Factorization with Spatial-spectral Regularization for Remote Sensing Images Recovery
Gaohang Yu, Shaochun Wan, Liqun Qi +1
Tensor train (TT) factorization and corresponding TT rank, which can well express the low-rankness and mode correlations of higher-order tensors, have attracted much attention in r…
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…
Minimax principle for right eigenvalues of dual quaternion matrices and their generalized inverses
Chen Ling, Liqun Qi, Hong Yan
Dual quaternions can represent rigid body motion in 3D spaces, and have found wide applications in robotics, 3D motion modelling and control, and computer graphics. In this paper,…
"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…