248 citations · 251 across the 7 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
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…
Weak group inverse
Hongxing Wang, Jianlong Chen
In this paper, we introduce a weak group inverse (called the WG inverse in the present paper) for square matrices of an arbitrary index, and give some of its characterizations and…
Core-EP Decomposition and its Applications
Hongxing Wang
In this paper, we introduce the notion of the core-EP decomposition and some of its properties. By using the decomposition, we derive several characterizations of the core-EP inver…