@article{Wang2023, 
author = {Xiaodong Wang and Feng Wang},
title = {Infinity norm upper bounds for the inverse of        S    D          D      k       matrices},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {10},
pages = {24999-25016},
keywords = {SDDk matrices, SDD matrices, SDD1 matrices, infinity norm, upper bound},
url = {https://www.sciopen.com/article/10.3934/math.20231276},
doi = {10.3934/math.20231276},
abstract = {In this paper, we introduce a new subclass of    H-matrices called        S    D          D      k       matrices, which contains        S    D    D   matrices and        S    D          D      1       matrices as special cases, and present some properties of        S    D          D      k       matrices. Based on these properties, we also provide new infinity norm bounds for the inverse of        S    D    D   matrices and        S    D          D      k       matrices. It is proved that these new bounds are better than some existing results in some cases. Numerical examples demonstrate the effectiveness of the obtained results.}
}