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math.RA2022
Characterizations and properties of dual matrix star orders
Hongxing Wang, Pei Huang
In this paper, we introduce D-star order, T-star order and P-star order on the class of dual matrices. By applying matrix decomposition and dual generalized inverses, we discuss pr…
math.RA2022
The Dual Index and Dual Core Generalized Inverse
Hongxing Wang, Ju Gao
In this paper, we introduce the dual index and dual core generalized inverse (DCGI). By applying rank equation, generalized inverse and matrix decomposition, we give several charac…
math.RA2022
Dual -Rank Decomposition and Its Applications
Hongxing Wang, Chong Cui, Xiaoji Liu
In this paper, we introduce the dual -rank decomposition of dual matrix, get its existence condition and equivalent form of the decomposition, as well as derive some characteriz…