@Article{NMTMA-12-1191,
author = {Dai , Ping-Fan and Li , Jicheng and Bai , Jianchao and Dong , Liqiang },
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 = {http://global-sci.org/intro/article_detail/nmtma/13220.html}
}
TY - JOUR
T1 - Notes on New Error Bounds for Linear Complementarity Problems of Nekrasov Matrices, $B$-Nekrasov Matrices and $QN$-Matrices
AU - Dai , Ping-Fan
AU - Li , Jicheng
AU - Bai , Jianchao
AU - Dong , Liqiang
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 1191
EP - 1212
PY - 2019
DA - 2019/06
SN - 12
DO - http://dor.org/10.4208/nmtma.OA-2018-0091
UR - https://global-sci.org/intro/nmtma/13220.html
KW - Error bounds, linear complementarity problem,
Nekrasov matrices, $B$-Nekrasov matrices, QN-matrices.
AB -
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.
Ping-Fan Dai, Jicheng Li, Jianchao Bai & Liqiang Dong. (2019). Notes on New Error Bounds for Linear Complementarity Problems of Nekrasov Matrices, $B$-Nekrasov Matrices and $QN$-Matrices.
Numerical Mathematics: Theory, Methods and Applications. 12 (4).
1191-1212.
doi:10.4208/nmtma.OA-2018-0091
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