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math.RA2024★ 1 cited
Dual Complex Adjoint Matrix: Applications in Dual Quaternion Research
Yongjun Chen, Liping Zhang
Dual quaternions and dual quaternion matrices have garnered widespread applications in robotic research, and its spectral theory has been extensively studied in recent years. This…
math.NA2024
Improved two-block coordinate descent method for Pose Graph Optimization Problem under -norm
Yongjun Chen, Liping Zhang
Dual quaternions and dual quaternion matrices are widely used in robotics research, particularly in simultaneous localization and mapping (SLAM) problem. Using dual quaternion theo…
math.NA2024
Generalized Jacobi Method for Computing Eigenvalues of Dual Quaternion Hermitian Matrices
Yongjun Chen, Liping Zhang
Dual quaternion matrices have various applications in robotic research and its spectral theory has been extensively studied in recent years. In this paper, we extend Jacobi method…