THE SOLVABILITIES OF THREE OPTIMIZATION PROBLEMS ASSOCIATED WITH SECOND-ORDER CONE

被引：0
|
作者：
Mia, Xinhe [1 ]
Hsu, Wei-Ming [2 ]
Chieu Thanh Nguyen [2 ]
Chen, Jein-Shan [2 ]
机构：
[1] Tianjin Univ, Sch Sci, Dept Math, Tianjin 300072, Peoples R China
[2] Natl Taiwan Normal Univ, Dept Math, Taipei 11677, Taiwan
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2021年 / 22卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Solvability; eigenvalue; second-order cone; absolute value equations; ABSOLUTE VALUE EQUATION; GENERALIZED NEWTON METHOD; COMPLEMENTARITY FUNCTIONS; MERIT FUNCTIONS; DESCENT METHOD; REFORMULATION; ALGORITHM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the solvabilities of three optimization problems associated with second-order cone, including the absolute value equations associated with second-order cone (SOCAVE), eigenvalue complementarity problem associated with second-order cone (SOCEiCP), and quadratic eigenvalue complementarity problem associated with second-order cone (SOCQEiCP). More specifically, we characterize under what conditions these optimizations have solution and unique solution, respectively.
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页码：937 / 967
页数：31
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