A New Generalized FB Complementarity Function for Symmetric Cone Complementarity Problems

被引：0
|
作者：
ZHANG YUN-SHENG [1 ]
GAO LEI-FU [1 ]
机构：
[1] College of Science,Liaoning Technical University
来源：
Communications in Mathematical Research | 2016年 / 32卷 / 01期
关键词：
complementarity problem; complementarity function; symmetric cone; generalized Fischer-Burmeister function;
D O I：
10.13447/j.1674-5647.2016.01.02
中图分类号：
O221 [规划论（数学规划）];
学科分类号：
070105 ; 1201 ;
摘要：
We establish that the generalized Fischer-Burmeister(FB) function and penalized Generalized Fischer-Burmeister(FB) function defined on symmetric cones are complementarity functions(C-functions),in terms of Euclidean Jordan algebras,and the Generalized Fischer-Burmeister complementarity function for the symmetric cone complementarity problem(SCCP).It provides an affirmative answer to the open question by Kum and Lim(Kum S H,Lim Y.Penalized complementarity functions on symmetric cones.J.Glob.Optim..2010,46:475-485) for any positive integer.
引用
收藏
页码：39 / 46
页数：8
相关论文
共 50 条
  • [1] A new class of complementarity functions for symmetric cone complementarity problems
    Yuan Min Li
    Xing Tao Wang
    De Yun Wei
    [J]. Optimization Letters, 2011, 5 : 247 - 257
  • [2] A new class of complementarity functions for symmetric cone complementarity problems
    Li, Yuan Min
    Wang, Xing Tao
    Wei, De Yun
    [J]. OPTIMIZATION LETTERS, 2011, 5 (02) : 247 - 257
  • [3] A new C-function for symmetric cone complementarity problems
    Tang, Jia
    Liu, Sanyang
    Ma, Changfeng
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2011, 51 (01) : 105 - 113
  • [4] A new C-function for symmetric cone complementarity problems
    Jia Tang
    Sanyang Liu
    Changfeng Ma
    [J]. Journal of Global Optimization, 2011, 51 : 105 - 113
  • [5] The same growth of FB and NR symmetric cone complementarity functions
    Bi, Shujun
    Pan, Shaohua
    Chen, Jein-Shan
    [J]. OPTIMIZATION LETTERS, 2012, 6 (01) : 153 - 162
  • [6] The same growth of FB and NR symmetric cone complementarity functions
    Shujun Bi
    Shaohua Pan
    Jein-Shan Chen
    [J]. Optimization Letters, 2012, 6 : 153 - 162
  • [7] A New Smoothing Newton Method for Symmetric Cone Complementarity Problems
    Liu, Lixia
    Liu, Sanyang
    [J]. ALGORITHMIC ASPECTS IN INFORMATION AND MANAGEMENT, 2010, 6124 : 199 - 208
  • [8] ERROR BOUNDS FOR SYMMETRIC CONE COMPLEMENTARITY PROBLEMS
    Miao, Xin-He
    Chen, Jein-Shan
    [J]. NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2013, 3 (04): : 627 - 641
  • [9] NEW SMOOTHING MERIT FUNCTION FOR SYMMETRIC CONE COMPLEMENTARITY PROBLEM
    Sun, Guo
    Zhang, Peng
    Yu, Liying
    Lin, Gui-Hua
    [J]. PACIFIC JOURNAL OF OPTIMIZATION, 2021, 17 (04): : 577 - 593
  • [10] 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
12345