B-Nekrasov矩阵线性互补问题的最优误差界

详细信息    查看全文 | 推荐本文 |

英文篇名：Optimal Error Bounds for Linear Complementarity Problems of B-Nekrasov Matrices 作者：甘梦婷 ; 杨绍蓉 ; 李朝迁 英文作者：GAN Mengting;YANG Shaorong;LI Chaoqian;School of Mathematics and Statistics,Yunnan University; 关键词：线性互补问题 ; 误差界 ; B-Nekrasov矩阵 ; P-矩阵 ; Nekrasov矩阵 英文关键词：linear complementarity problem;;error bound;;B-Nekrasov matrix;;P-matrix;;Nekrasov matrix 中文刊名：JLDX 英文刊名：Journal of Jilin University(Science Edition) 机构：云南大学数学与统计学院; 出版日期：2018-03-26 出版单位：吉林大学学报(理学版) 年：2018 期：v.56;No.230 基金：国家自然科学基金(批准号:11601473);; 中国科学院“西部之光”人才培养引进计划项目 语种：中文; 页：JLDX201802014 页数：5 CN：02 ISSN：22-1340/O 分类号：79-83

摘要

考虑B-Nekrasov矩阵线性互补问题参数的误差界,利用函数的单调性,得到了在给定条件下该含有参数误差界问题的最优值,并用数值算例验证了所得结果.
        We considered the error bound with a parameter for the linear complementariry problem of B-Nekrasov matrices.Using the monotonicity of function,we obtained the optimal value for the problem of the parameter error bound under given conditions.Numerical examples were used to verify the corresponding results.

引文

[1]李凤.线性互补问题及相关性质[D].哈尔滨:哈尔滨工业大学,2007.(LI Feng.The Linear Complementarity Promblem and Related Properties[D].Harbin:Harbin Institute of Technology,2007.)
    [2]CHEN Xiaojun,XIANG Shuhuang.Computation of Error Bounds for P-Matrix Linear Complementarity Problems[J].Mathematical Programming,2006,106(3):513-525.
    [3]García-Esnaola M,Pe1a J M.Error Bounds for Linear Complementarity Problems for B-Matrices[J].Applied Mathematics Letters,2009,22(7):1071-1075.
    [4]LI Chaoqian,GAN Mengting,YANG Shaorong.A New Error Bound for Linear Complementarity Problems for B-Matrices[J].Electronic Journal of Linear Algebra,2016,31(1):476-484.
    [5]LI Chaoqian,LI Yaotang.Weakly Chained Diagonally Dominant B-Matrices and Error Bounds for Linear Complementarity Problems[J].Numerical Algorithms,2016,73(4):985-998.
    [6]DAI Pingfan.Error Bounds for Linear Complementarity Problems of DB-Matrices[J].Linear Algebra and Its Applications,2011,434(3):830-840.
    [7]DAI Pingfan,LI Yaotang,LU Changjing.Error Bounds for Linear Complementarity Problems for SB-Matrices[J].Numerical Algorithms,2012,61(1):121-139.
    [8]García-Esnaola M,Pe1a J M.B-Nekrasov Matrices and Error Bound for Linear Complementarity Problems[J].Numerical Algorithms,2016,72(2):435-445.
    [9]García-Esnaola M,Pe1a J M.Error Bounds for Linear Complementarity Problems of Nekrasov Matrices[J].Numerical Algorithms,2014,67(3):655-667.