Notes on new error bounds for linear complementarity problems of Nekrasov matrices, B-Nekrasov matrices and QN-matrices

Ping Fan Dai; Jicheng Li; Jianchao Bai; Liqiang Dong

doi:10.4208/nmtma.OA-2018-0091

Notes on new error bounds for linear complementarity problems of Nekrasov matrices, B-Nekrasov matrices and QN-matrices

Ping Fan Dai
, Jicheng Li
, Jianchao Bai
, Liqiang Dong

数学与统计学院

Xi'an Jiaotong University
Sanming University
Northwestern Polytechnical University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1191-1212
页数	22
期刊	Numerical Mathematics
卷	12
期	4
DOI	https://doi.org/10.4208/nmtma.OA-2018-0091
出版状态	已出版 - 2019

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title = "Notes on new error bounds for linear complementarity problems of Nekrasov matrices, B-Nekrasov matrices and QN-matrices",

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.",

keywords = "B-Nekrasov matrices, Error bounds, Linear complementarity problem, Nekrasov matrices, QN-matrices",

author = "Dai, \{Ping Fan\} and Jicheng Li and Jianchao Bai and Liqiang Dong",

note = "Publisher Copyright: {\textcopyright} 2019 Global-Science Press",

year = "2019",

doi = "10.4208/nmtma.OA-2018-0091",

language = "英语",

volume = "12",

pages = "1191--1212",

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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

PY - 2019

Y1 - 2019

N2 - 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.

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.

KW - B-Nekrasov matrices

KW - Error bounds

KW - Linear complementarity problem

KW - Nekrasov matrices

KW - QN-matrices

UR - https://www.scopus.com/pages/publications/85071460015

U2 - 10.4208/nmtma.OA-2018-0091

DO - 10.4208/nmtma.OA-2018-0091

M3 - 文章

AN - SCOPUS:85071460015

SN - 1004-8979

VL - 12

SP - 1191

EP - 1212

JO - Numerical Mathematics

JF - Numerical Mathematics

IS - 4

ER -

Notes on new error bounds for linear complementarity problems of Nekrasov matrices, B-Nekrasov matrices and QN-matrices

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