On merit functions for p-order cone complementarity problem

被引：0
|
作者：
Xin-He Miao
Yu-Lin Chang
Jein-Shan Chen
机构：
[1] Tianjin University,Department of Mathematics
[2] National Taiwan Normal University,Department of Mathematics
来源：
Computational Optimization and Applications | 2017年 / 67卷
关键词：
-order cone complementarity problem; Merit function; Error bound;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Merit function approach is a popular method to deal with complementarity problems, in which the complementarity problem is recast as an unconstrained minimization via merit function or complementarity function. In this paper, for the complementarity problem associated with p-order cone, which is a type of nonsymmetric cone complementarity problem, we show the readers how to construct merit functions for solving p-order cone complementarity problem. In addition, we study the conditions under which the level sets of the corresponding merit functions are bounded, and we also assert that these merit functions provide an error bound for the p-order cone complementarity problem. These results build up a theoretical basis for the merit method for solving p-order cone complementarity problem.
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页码：155 / 173
页数：18
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