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20232026
most citedDual Complex Adjoint Matrix: Applications in Dual Quaternion Research

1 citations · 1 across the 6 of their papers we have counts for

collaborators

7 papers

math.OC2026

Convergence Rates of Factorized Gradient Descent for Overparameterized Asymmetric Matrix Sensing with Balancing Regularization

Yongjun Chen, Jiaming Zhang, Liping Zhang

We study factorized gradient descent (FGD) for overparameterized asymmetric matrix sensing with the balancing regularizer . An exact indefinite li…

math.OC2026

Factorized low-rank matrix recovery problem, Schatten- quasi-norm, Error bound for critical point, Kurdyka-Łojasiewicz property, Inexact proximal alternating linearized minimization

Yongjun Chen, Defeng Sun, Liping Zhang

The Schatten- quasi-norm is a widely used nonconvex rank surrogate and matrix factorization is an effective approach to reduce computational cost. In this paper, we consider the…

math.NA2025

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…

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…

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…