Notes on New Error Bounds for Linear Complementarity Problems of Nekrasov Matrices, $B$-Nekrasov Matrices and $QN$-Matrices
Year: 2019
Author: Jicheng Li, Ping-Fan Dai, Jianchao Bai, Jicheng Li, Liqiang Dong, Jianchao Bai, Liqiang Dong
Numerical Mathematics: Theory, Methods and Applications, Vol. 12 (2019), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.OA-2018-0091
Numerical Mathematics: Theory, Methods and Applications, Vol. 12 (2019), Iss. 4 : pp. 1191–1212
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Error bounds linear complementarity problem Nekrasov matrices $B$-Nekrasov matrices QN-matrices.
Author Details
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