Lower bounds of the minimum eigenvalue for M-matrices

2017/04/18 by Jianxing Zhao, Zhao, Jianxing, Caili Sang +1
Computer Science · Mathematics · Physics and Astronomy · #15A06 #15A15 #15A48 #Advanced Optimization Algorithms Research #Electromagnetic Scattering and Analysis #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1704.05218

openalex publication_date 2017/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Some monotone increasing sequences of the lower bounds for the minimum eigenvalue of M-matrices are given. It is proved that these sequences are convergent and improve some existing results. Numerical examples show that these sequences are more accurate than some existing results and could reach the true value of the minimum eigenvalue in some cases.

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