Notes on New Error Bounds for Linear Complementarity Problems of Nekrasov Matrices, $B$-Nekrasov Matrices and $QN$-Matrices
Ping-Fan Dai, Jicheng Li Jicheng Li, Jianchao Bai, Liqiang Dong Liqiang Dong · Numerical Mathematics Theory Methods and Applications · 2019
In this paper, we give new error bounds for linear complementarity problems when the matrices involved are Nekrasov matrices, $B$-Nekrasov matrices and $QN$-matrices, respectively. It is proved that the obtained bounds are better than those of Li et al. (New error bounds for linear complementarity problems of Nekrasov matrices and $B$-Nekrasov matrices, Numer. Algor., 74 (2017), pp. 997-1009) and Gao et al. (New error bounds for linear complementarity problems of $QN$-matrices, Numer. Algor., 77 (2018), pp. 229-242) in some cases, respectively.