@article{Guo2025, 
author = {Zhirong Guo and Qianglian Huang},
title = {Some new characterizations of the normality for group invertible matrices},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {5},
pages = {12135-12148},
keywords = {normal matrix, group invertible matrix, Moore-Penrose inverse matrix, projection},
url = {https://www.sciopen.com/article/10.3934/math.2025550},
doi = {10.3934/math.2025550},
abstract = {Normal matrices are an important class of matrices; many authors discuss the normality of matrices. In terms of projection matrices, the inverse of matrices, one-sided    X-equality, and    X-idempotency of matrices, many new characterizations of normal matrices are obtained in this paper. It may be the first time that the projection, one-sided    X-equality, and one-sided    X-idempotency are used to characterize the normality of matrices.}
}