@article{Zhao2022, 
author = {Yingxia Zhao and Lanlan Liu and Feng Wang},
title = {Error bounds for linear complementarity problems of    S  D                    D                    1             matrices and    S  D                    D                    1            -   B matrices},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {7},
pages = {11862-11878},
keywords = {error bounds, linear complementarity problems, infinity norm, SDD1 matrices, SDD1-B matrices, singular values},
url = {https://www.sciopen.com/article/10.3934/math.2022662},
doi = {10.3934/math.2022662},
abstract = {An upper bound of the infinity norm for the inverse of    S  D            D      1       matrix is presented. We apply the new bound to linear complementarity problems (LCPs) and obtain an alternative error bound for LCPs of    S  D            D      1       matrices and    S  D                    D                    1            -   B matrices. In addition, a new lower bound for the smallest singular value is also given. Numerical examples show the validity of the results.}
}