@article{Chen2022, 
author = {Xiaoyong Chen and Yating Li and Liang Liu and Yaqiang Wang},
title = {Infinity norm upper bounds for the inverse of    S  D      D    1   matrices},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {8847-8860},
keywords = {SDD1 matrices, SDD matrices, upper bound, positive diagonal matrix, infinity norm},
url = {https://www.sciopen.com/article/10.3934/math.2022493},
doi = {10.3934/math.2022493},
abstract = {In this paper, a new proof that    S  D      D    1   matrices is a subclass of    H-matrices is presented, and some properties of    S  D      D    1   matrices are obtained. Based on the new proof, some upper bounds of the infinity norm of inverse of    S  D      D    1   matrices and    S  D  D matrices are given. Moreover, we show that these new bounds of    S  D  D matrices are better than the well-known Varah bound for    S  D  D matrices in some cases. In addition, some numerical examples are given to illustrate the corresponding results.}
}