English

Lower bounds of the minimum eigenvalue for $M$-matrices

Numerical Analysis 2017-04-19 v1

Abstract

Some monotone increasing sequences of the lower bounds for the minimum eigenvalue of MM-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.

Keywords

Cite

@article{arxiv.1704.05218,
  title  = {Lower bounds of the minimum eigenvalue for $M$-matrices},
  author = {Jianxing Zhao and Caili Sang},
  journal= {arXiv preprint arXiv:1704.05218},
  year   = {2017}
}

Comments

This paper was actually completed at 10 October 2016, 12 pages

R2 v1 2026-06-22T19:19:45.943Z