@article{Chen2022, 
author = {Yang Chen and Kezheng Zuo and Zhimei Fu},
title = {New characterizations of the generalized Moore-Penrose inverse of matrices},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {3},
pages = {4359-4375},
keywords = {generalized Moore-Penrose inverse, range space, null space, core-EP decomposition},
url = {https://www.sciopen.com/article/10.3934/math.2022242},
doi = {10.3934/math.2022242},
abstract = {Some new characterizations of the generalized Moore-Penrose inverse are proposed using range, null space, several matrix equations and projectors. Several representations of the generalized Moore-Penrose inverse are given. The relationships between the generalized Moore-Penrose inverse and other generalized inverses are discussed using core-EP decomposition. The generalized Moore-Penrose matrices are introduced and characterized. One relation between the generalized Moore-Penrose inverse and corresponding nonsingular border matrix is presented. In addition, applications of the generalized Moore-Penrose inverse in solving restricted matrix equations are studied.}
}