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math.RA2019★ 1 cited
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…
math.RA2017
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…