Notes on the generalized Perron complements involving inverse $ {{N}_{0}} $-matrices

oleh: Qin Zhong, Ling Li

Format: Article
Diterbitkan: AIMS Press 2024-07-01

Deskripsi

In the context of inverse $ {{N}_{0}} $-matrices, this study focuses on the closure of generalized Perron complements by utilizing the characteristics of $ M $-matrices, nonnegative matrices, and inverse $ {{N}_{0}} $-matrices. In particular, we illustrate that the inverse $ {{N}_{0}} $-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 $ {{N}_{0}} $-matrices. Finally, we provide specific examples to verify our findings.