165 citations · 211 across the 21 of their papers we have counts for
21 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…
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…
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,…
Low Rank Approximation of Dual Complex Matrices
Liqun Qi, David M. Alexander, Zhongming Chen +2
Dual complex numbers can represent rigid body motion in 2D spaces. Dual complex matrices are linked with screw theory, and have potential applications in various areas. In this pap…
Dual Quaternions and Dual Quaternion Vectors
Liqun Qi, Chen Ling, Hong Yan
We introduce a total order and the absolute value function for dual numbers. The absolute value function of dual numbers are with dual number values, and have properties similar to…