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math.NA2025★ 1 cited
LU Decomposition and Generalized Autoone-Takagi Decomposition of Dual Matrices and their Applications
Renjie Xu, Yimin Wei, Hong Yan
This paper uses matrix transformations to provide the Autoone-Takagi decomposition of dual complex symmetric matrices and extends it to dual quaternion -Hermitian matrices. The…
math.NA2024★ 1 cited
QR Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain
Renjie Xu, Tong Wei, Yimin Wei +1
Matrix decompositions in dual number representations have played an important role in fields such as kinematics and computer graphics in recent years. In this paper, we present a Q…
math.NA2023
Singular Value Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain
Tong Wei, Weiyang Ding, Yimin Wei
Matrix factorizations in dual number algebra, a hypercomplex system, have been applied to kinematics, mechanisms, and other fields recently. We develop an approach to identify spat…