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

页码：71 / 76

页数：6

共 50 条

[1] On the Lipschitz continuity of the solution map in linear complementarity problems over second-order cone
Balaji, R.
Palpandi, K.
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 510 : 146 - 159
[2] The Monotone Extended Second-Order Cone and Mixed Complementarity Problems
Yingchao Gao
Sándor Zoltán Németh
Roman Sznajder
[J]. Journal of Optimization Theory and Applications, 2022, 193 : 381 - 407
[3] The Monotone Extended Second-Order Cone and Mixed Complementarity Problems
Gao, Yingchao
Nemeth, Sandor Zoltan
Sznajder, Roman
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2022, 193 (1-3) : 381 - 407
[4] Feasibility and Structural Feature on Monotone Second-Order Cone Linear Complementarity Problems in Hilbert Space
苗新河
郭胜娟
[J]. Transactions of Tianjin University., 2015, 21 (04) - 382
[5] Feasibility and structural feature on monotone second-order cone linear complementarity problems in Hilbert space
Miao X.
Guo S.
[J]. Trans. Tianjin Univ., 4 (377-382): : 377 - 382
[6] Feasibility and Structural Feature on Monotone Second-Order Cone Linear Complementarity Problems in Hilbert Space
苗新河
郭胜娟
[J]. Transactions of Tianjin University, 2015, (04) : 377 - 382
[7] AN EFFICIENT ALGORITHM FOR SECOND-ORDER CONE LINEAR COMPLEMENTARITY PROBLEMS
Zhang, Lei-Hong
Yang, Wei Hong
[J]. MATHEMATICS OF COMPUTATION, 2014, 83 (288) : 1701 - 1726
[8] A smoothing Newton algorithm for solving the monotone second-order cone complementarity problems
College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China
不详
不详
[J]. J. Appl. Math. Comp., 2012, 1-2 (45-61): : 45 - 61
[9] A combined smoothing and regularization method for monotone second-order cone complementarity problems
Hayashi, S
Yamashita, N
Fukushima, M
[J]. SIAM JOURNAL ON OPTIMIZATION, 2005, 15 (02) : 593 - 615
[10] EXACT FORMULA FOR THE SECOND-ORDER TANGENT SET OF THE SECOND-ORDER CONE COMPLEMENTARITY SET
Chen, Jein-Shan
Ye, Jane J.
Zhang, Jin
Zhou, Jinchuan
[J]. SIAM JOURNAL ON OPTIMIZATION, 2019, 29 (04) : 2986 - 3011

← 1 2 3 4 5 →