Lower bound for the minimal eigenvalue of M-matrices
Year: 2025
Type: conference-paper
Abstract: M-matrices have several applications in domains such as control theory, numerical analysis, optimization problems, probability, and statistics. One of the key areas of M-matrix theory is the study of minimal eigenvalues of M-matrices. The goal of this note is to introduce a better lower bound for the minimal eigenvalue of M-matrices using the special inclusion theorem for matrix eigenvalues. Two numerical tests are considered to confirm the efficiency of the new lower bound.
Author: Qin Zhong
Institutions: Sichuan University, Sichuan University Jinjiang College
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408038985