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math.NA2024
Dual-Valued Functions of Dual Matrices with Applications in Causal Emergence
Tong Wei, Weiyang Ding, Yimin Wei
Dual continuation, an innovative insight into extending the real-valued functions of real matrices to the dual-valued functions of dual matrices with a foundation of the Gâteaux de…
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…