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Perron complements of γ-diagonally and product γ-diagonally dominant matrices

Year: 2026

Type: article

Abstract: This study extends the classical result on Schur complements of diagonally dominant matrices to Perron complements of nonnegative irreducible matrices. We provide sufficient conditions guaranteeing that both γ -diagonal dominance and product γ -diagonal dominance are preserved under Perron complementation. The theoretical results are validated through carefully designed numerical experiments.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-026-03553-1

Authors: Qin Zhong, Ling Li, Gufang Mou

Institutions: Sichuan University Jinjiang College, Chengdu Technological University, Chengdu University of Information 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: $2,190

OpenAlex ID: W7225810826

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