The solution set structure of monotone linear complementarity problems over second-order cone

被引：9
|
作者：
Kong, Lingchen [1 ]
Xiu, Naihua [1 ]
Han, Jiye [2 ]
机构：
[1] Beijing Jiaotong Univ, Dept Appl Math, Beijing 100044, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
来源：
OPERATIONS RESEARCH LETTERS | 2008年 / 36卷 / 01期
关键词：
monotone linear complementarity problem; second-order cone; solution set;
D O I：
10.1016/j.orl.2007.03.009
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
The second-order cone linear complementarity problem (SOCLCP) is a generalization of the linear complementarity problem (LCP). In this paper we characterize the solution set of a monotone SOCLCP with the help of the Jordan-algebraic technique. (c) 2007 Published by Elsevier B.V.
引用
收藏
页码：71 / 76
页数：6
相关论文
共 50 条
  • [21] On Q and R0 properties of a quadratic representation in linear complementarity problems over the second-order cone
    Malik, M
    Mohan, SR
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 397 : 85 - 97
  • [22] SOR-Like Iteration Methods for Second-Order Cone Linear Complementarity Problems
    Li, Zhizhi
    Ke, Yifen
    Zhang, Huai
    Chu, Risheng
    [J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2020, 10 (02) : 295 - 315
  • [23] A continuation method for the linear second-order cone complementarity problem
    Xia, Y
    Peng, JM
    [J]. COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2005, VOL 4, PROCEEDINGS, 2005, 3483 : 290 - 300
  • [24] On the Range of the Pseudomonotone Second-Order Cone Linear Complementarity Problem
    Yang, Wei Hong
    Zhang, Lei-Hong
    Shen, Chungen
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 173 (02) : 504 - 522
  • [25] On the Range of the Pseudomonotone Second-Order Cone Linear Complementarity Problem
    Wei Hong Yang
    Lei-Hong Zhang
    Chungen Shen
    [J]. Journal of Optimization Theory and Applications, 2017, 173 : 504 - 522
  • [26] A New Complementarity Function and Applications in Stochastic Second-Order Cone Complementarity Problems
    Sun, Guo
    Zhang, Jin
    Yu, Li-Ying
    Lin, Gui-Hua
    [J]. JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2019, 7 (02) : 251 - 283
  • [27] Exceptional family and solvability of the second-order cone complementarity problems
    Huang, Na
    Ma, Changfeng
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 244 : 561 - 566
  • [28] ROBUST NASH EQUILIBRIA AND SECOND-ORDER CONE COMPLEMENTARITY PROBLEMS
    Hayashi, Shunsuke
    Yamashita, Nobuo
    Fukushima, Masao
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2005, 6 (02) : 283 - 296
  • [29] A New Complementarity Function and Applications in Stochastic Second-Order Cone Complementarity Problems
    Guo Sun
    Jin Zhang
    Li-Ying Yu
    Gui-Hua Lin
    [J]. Journal of the Operations Research Society of China, 2019, 7 : 251 - 283
  • [30] On matrix characterizations for P-property of the linear transformation in second-order cone linear complementarity problems
    Miao, Xin-He
    Chen, Jein-Shan
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 613 : 271 - 294
12345