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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…
Noda Iteration for Computing Generalized Tensor Eigenpairs
Wanli Ma, Weiyang Ding, Yimin Wei
In this paper, we propose the tensor Noda iteration (NI) and its inexact version for solving the eigenvalue problem of a particular class of tensor pairs called generalized $\mathc…
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…
Low Rank Pure Quaternion Approximation for Pure Quaternion Matrices
Guangjing Song, Weiyang Ding, Michael K. Ng
Quaternion matrices are employed successfully in many color image processing applications. In particular, a pure quaternion matrix can be used to represent red, green and blue chan…