Perron complements of γ-diagonally and product γ-diagonally dominant matrices
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.
Authors
- Gufang Mou
- Qin Zhong
- Ling Li (ORCID: https://orcid.org/0000-0002-4026-0216)
Institutions
- Chengdu University of Information Technology (CN)
- Chengdu Technological University (CN)
- Sichuan University Jinjiang College (CN)
Publication Details
- Journal
- Journal of Inequalities and Applications
- Published
- 2026-11-11
- DOI
- https://doi.org/10.1186/s13660-026-03553-1
- Primary Topic
- Matrix Theory and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 0.00