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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…
math.NA2023
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…