A new C-function for symmetric cone complementarity problems

被引：1
|
作者：
Tang, Jia [1 ]
Liu, Sanyang [1 ]
Ma, Changfeng [2 ]
机构：
[1] Xidian Univ, Dept Math & Comp Sci, Xian 710071, Peoples R China
[2] Fujian Normal Univ, Coll Math & Comp Sci, Fuzhou 350007, Peoples R China
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2011年 / 51卷 / 01期
关键词：
Complementarity problem; Symmetric cone; Euclidean Jordan algebra; C-function; Coerciveness; Strong semismoothness; EUCLIDEAN JORDAN ALGEBRAS;
D O I：
10.1007/s10898-010-9622-9
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：
Recently, there has been much interest in studying optimization problems over symmetric cones and second-order cone. This paper uses Euclidean Jordan algebras as a basic tool to introduce a new C-function to symmetric cone complementarity problems. Then we show that the function is coercive, strongly semismooth and its Jacobian is also strongly semismooth.
引用
收藏
页码：105 / 113
页数：9
相关论文
共 50 条
  • [1] A new C-function for symmetric cone complementarity problems
    Jia Tang
    Sanyang Liu
    Changfeng Ma
    [J]. Journal of Global Optimization, 2011, 51 : 105 - 113
  • [2] A New Generalized FB Complementarity Function for Symmetric Cone Complementarity Problems
    ZHANG YUN-SHENG
    GAO LEI-FU
    [J]. Communications in Mathematical Research, 2016, 32 (01) : 39 - 46
  • [3] 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
  • [4] 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
  • [5] New smooth C-functions for symmetric cone complementarity problems
    Lingchen Kong
    Naihua Xiu
    [J]. Optimization Letters, 2007, 1 : 391 - 400
  • [6] New smooth C-functions for symmetric cone complementarity problems
    Kong, Lingchen
    Xiu, Naihua
    [J]. OPTIMIZATION LETTERS, 2007, 1 (04) : 391 - 400
  • [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] 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
  • [9] ERROR BOUNDS FOR SYMMETRIC CONE COMPLEMENTARITY PROBLEMS
    Miao, Xin-He
    Chen, Jein-Shan
    [J]. NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2013, 3 (04): : 627 - 641
  • [10] A smoothing Newton method for symmetric cone complementarity problems
    Jia Tang
    Changfeng Ma
    [J]. Optimization Letters, 2015, 9 : 225 - 244
12345