On finiteness of the solution set of extended horizontal linear complementarity problem

被引:0
|
作者
Yadav, Punit Kumar [1 ]
Karuppaiah, Palpandi [1 ]
机构
[1] Malaviya Natl Inst Technol, Dept Math, Jaipur 302017, India
关键词
Columnnondegenerate-W property; Compactness; Finiteness; Complementarity problem;
D O I
10.1016/j.orl.2024.107112
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
In this paper, we introduce the concept of column nondegenerate- W property to the set of matrices, and we show that when the involved set of matrices have the column nondegenerate- W property is equivalent to the Extended Horizontal Linear Complementarity Problem have the finiteness property of the solution set. (c) 2024 Elsevier B.V. All rights reserved.
引用
收藏
页数:4
相关论文
共 50 条
  • [41] Lower bounds of the solution set of the polynomial complementarity problem
    Li, Xue-liu
    Shang, Tong-tong
    Tang, Guo-ji
    OPTIMIZATION LETTERS, 2024, 18 (02) : 497 - 511
  • [42] On the Bound of the Solution Set for the Vertical Tensor Complementarity Problem
    Wang, Hai-Ying
    Fu, Zu-Feng
    Wu, Shi-Liang
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2025, 204 (01)
  • [43] The solution set structure and error bound estimation for the generalization linear complementarity problem in equilibrium modeling
    Sun, Hongchun
    ICIC Express Letters, 2012, 6 (07): : 1917 - 1923
  • [44] A Sequential Linear Programming Method for Extended Vertical Linear Complementarity Problem
    Sun, Hongchun
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 274 - 277
  • [45] The Horizontal Linear Complementarity Problem and Robustness of the Related Matrix Classes
    Hladik, Milan
    Rada, Miroslav
    OPTIMIZATION AND LEARNING, OLA 2021, 2021, 1443 : 350 - 360
  • [46] A Combined Homotopy Method for Solving Horizontal Linear Complementarity Problem
    Xu, Junyan
    Miao, Zhuang
    Tan, Jiawei
    Liu, Qinghuai
    ICMS2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION ICMS2010, VOL 5: APPLIED MATHEMATICS AND MATHEMATICAL MODELLING, 2010, : 235 - 239
  • [47] The weighted horizontal linear complementarity problem on a Euclidean Jordan algebra
    Xiaoni Chi
    M. Seetharama Gowda
    Jiyuan Tao
    Journal of Global Optimization, 2019, 73 : 153 - 169
  • [48] The weighted horizontal linear complementarity problem on a Euclidean Jordan algebra
    Chi, Xiaoni
    Gowda, M. Seetharama
    Tao, Jiyuan
    JOURNAL OF GLOBAL OPTIMIZATION, 2019, 73 (01) : 153 - 169
  • [49] On the solution of linear complementarity problem by a stochastic iteration method
    Okoroafor, A. Alfred
    Osu, Bright O.
    Journal of Applied Sciences, 2006, 6 (12) : 2685 - 2687
  • [50] ON THE SOLUTION AND COMPLEXITY OF A GENERALIZED LINEAR COMPLEMENTARITY-PROBLEM
    JUDICE, JJ
    VICENTE, LN
    JOURNAL OF GLOBAL OPTIMIZATION, 1994, 4 (04) : 415 - 424