Work

Generalized Perron complements of strictly generalized doubly diagonally dominant matrices

Year: 2025

Type: article

Abstract: It is well known that there is an intrinsic connection between Perron complements and Schur complements. It has been demonstrated that Schur complements of strictly generalized doubly diagonally dominant matrices retain the property of strict generalized double diagonal dominance. Our primary aim of this study is to extend these findings to generalized Perron complements of nonnegative irreducible matrices. Specifically, we established that generalized Perron complements derived from strictly generalized doubly diagonally dominant and nonnegative irreducible matrices preserve strict generalized double diagonal dominance and nonnegative irreducibility. Numerical examples are provided to substantiate our theoretical results.

Source: AIMS Mathematics

DOI: 10.3934/math.2025629

Authors: Qin Zhong, Ling Li, Gufang Mou

Institutions: Sichuan University Jinjiang College, Chengdu Technological University, Chengdu University of Information Technology, Chengdu University of Technology

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funder: Sichuan University