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Improved power methods for computing eigenvalues of dual quaternion Hermitian matrices
Yongjun Chen, Liping Zhang
This paper investigates the eigenvalue computation problem of the dual quaternion Hermitian matrix closely related to multi-agent group control. Recently, power method was proposed…
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…
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…
Linear convergence of the Collatz method for computing the Perron eigenpair of primitive dual number matrix
Yongjun Chen, Liping Zhang
Very recently, Qi and Cui extended the Perron-Frobenius theory to dual number matrices with primitive and irreducible nonnegative standard parts and proved that they have Perron ei…