@article{Liu2024, 
author = {Lanlan Liu and Yuxue Zhu and Feng Wang and Yuanjie Geng},
title = {Infinity norm bounds for the inverse of  SDD1+ matrices with applications},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {21294-21320},
keywords = {H-matrices, SDD1+ matrices, infinity norm bounds, linear complementarity problems, error bounds},
url = {https://www.sciopen.com/article/10.3934/math.20241034},
doi = {10.3934/math.20241034},
abstract = {A new subclass of nonsingular  H-matrix named  SDD1+ matrices is studied in this paper. The relationships between  SDD1+ matrices and other subclasses of nonsingular  H-matrices are analyzed by numerical examples. Moreover, the infinity norm bounds of the inverse for  SDD1+ matrices are derived in two different methods. As applications, two error bounds of the linear complementarity problems ( LCP) for  SDD1+ matrices are given. Finally, the effectiveness of corresponding results is illustrated by numerical examples.}
}