@Article{NMTMA-12-4, author = {Li, Jicheng and Ping-Fan, Dai and Jianchao, Bai and Li, Jicheng and Liqiang, Dong and Jianchao, Bai and Liqiang, Dong}, title = {Notes on New Error Bounds for Linear Complementarity Problems of Nekrasov Matrices, $B$-Nekrasov Matrices and $QN$-Matrices}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2019}, volume = {12}, number = {4}, pages = {1191--1212}, abstract = {
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.
}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2018-0091}, url = {https://global-sci.com/article/90436/notes-on-new-error-bounds-for-linear-complementarity-problems-of-nekrasov-matrices-b-nekrasov-matrices-and-qn-matrices} }