关于B-Nekrasov矩阵线性互补问题最优误差界的注记
详细信息    查看全文 | 推荐本文 |
  • 英文篇名:A note on the optimal error bounds for linear complementarity problems of B-Nekrasov matrices
  • 作者:杨绍蓉 ; 甘梦婷 ; 李朝迁
  • 英文作者:Yang Shaorong;Gan Mengting;Li Chaoqian;College of Mathematics and statistics, Yunnan University;
  • 关键词:B-Nekrasov矩阵 ; 线性互补 ; 误差界
  • 英文关键词:B-Nekrasov matrix;;linear complementarity;;error bounds
  • 中文刊名:CCSX
  • 英文刊名:Pure and Applied Mathematics
  • 机构:云南大学数学与统计学院;
  • 出版日期:2017-08-25
  • 出版单位:纯粹数学与应用数学
  • 年:2017
  • 期:v.33
  • 基金:国家自然科学基金(11601473)
  • 语种:中文;
  • 页:CCSX201704010
  • 页数:11
  • CN:04
  • ISSN:61-1240/O1
  • 分类号:104-114
摘要
研究了B-Nekrasov矩阵线性互补问题的含有参数误差界的最优值问题,利用函数的单调性,在_0>_(i_1)>···>_n>···>_(i_(n-1))≥0且0<_n<1的情况下,得到了该误差界的最优值.
        The optimal error bound with a parameter of linear complementarity problems of B-Nekrasov matrix is studied. By using the monotonicity,in the case of _0>_(i_1)>···>_n>···>_(i_(n-1))>0, and 0 < _n < 1, the optimal value of the error bound is obtained.
引文
[1]Garc′?a-Esnaola M,Pen?a J M.Error bounds for linear complementarity problems for B-matrices[J].Appl.Math.,2009,22:1071-1075.
    [2]Dai pingfan.Error bounds for linear complementarity problems of DB-matrices[J].Linear Algebra,2011,434:830-840.
    [3]Li chaoqian,Gan mengting,Yang shaorong.A new error bound for linear complementarity problems for B-matrices[J].Electronic Journal of Linear Algebra,2016,31:476-484.
    [4]Li chaoqian,Li yaotang.Note on error bounds for linear complementarity problems for B-matrices[J].Applied Mathematics Letters,2016,57:108-113.
    [5]孙艳波.线性互补问题解的存在性及其相关矩阵的研究[D].南京:南京航空航天大学,2006.
    [6]彭凌.几类特殊矩阵线性互补问题的误差界[D].吉首:吉首大学,2015.
    [7]Chen xiaojun,Xiang shuhuang.Computation of error bounds for P-matrix linear complementarity problems[J].Math.Program,2006,106:513-525.
    [8]Garc′?a-Esnaola M,Pen?a J M.Errorbounds for linearcomplementarity problems of Nekrasov matrices[J].Numerical Algorithms,2014,67:655-667.
    [9]Cottle R W,Pang J S,Stone R E.The Linear Complementarity Problem[M].New york:Academic Press,1992.
    [10]Garc′?a-Esnaola M,Pen?a J M.B-Nekrasov matrices and error bound for linear complementarity problems[J].Numerical Algorithms,2016,72(2):435-445.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700