@Article{EAJAM-11-487,
author = {Xiong , Yebo and Liu , Jianzhou},
title = {Norm Estimates for the Inverses of Strictly Diagonally Dominant $M$-Matrices and Linear Complementarity Problems},
journal = {East Asian Journal on Applied Mathematics},
year = {2021},
volume = {11},
number = {3},
pages = {487--514},
abstract = {<p style="text-align: justify;">A partition reduction method is used to obtain two new upper bounds for the
inverses of strictly diagonally dominant $M$-matrices. The estimates are expressed via
the determinants of third order matrices. Numerical experiments with various random
matrices show that they are stable and better than the estimates presented in literature. We use these upper bounds in order to improve known error estimates for linear
complementarity problems with $B$-matrices.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.210820.161120},
url = {http://global-sci.org/intro/article_detail/eajam/19138.html}
}