@article{Zhong2024, 
author = {Qin Zhong and Ling Li},
title = {Notes on the generalized Perron complements involving inverse  N0-matrices},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {22130-22145},
keywords = {N0-matrix, inverse N0-matrix, generalized Perron complement, spectral radius, Schur complement},
url = {https://www.sciopen.com/article/10.3934/math.20241076},
doi = {10.3934/math.20241076},
abstract = {In the context of inverse  N0-matrices, this study focuses on the closure of generalized Perron complements by utilizing the characteristics of  M-matrices, nonnegative matrices, and inverse  N0-matrices. In particular, we illustrate that the inverse  N0-matrix and its Perron complement matrix possess the same spectral radius. Furthermore, we present certain general inequalities concerning generalized Perron complements, Perron complements, and submatrices of inverse  N0-matrices. Finally, we provide specific examples to verify our findings.}
}