3 papers
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
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…
math.RA2019
The core inverse and constrained matrix approximation problem
Hongxing Wang, Xiaoyan Zhang
In this paper,we study the constrained matrix approximation problem in the Frobenius norm by using the core inverse:\begin{align}\nonumber \left\|{Mx - b} \right\|_F=\min\ \ {\rm s…