A simple approximated solution method for solving fractional trust region subproblems of nonlinearly equality constrained optimization

被引：2
|
作者：
Zhu, Honglan [1 ,2 ]
Ni, Qin [1 ]
Zhang, Xuebing [3 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing, Peoples R China
[2] Huaiyin Inst Technol, Business Sch, Huaian, Peoples R China
[3] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Nonlinearly equality constrained optimization; Fractional model; Trust region method; Approximated solution method; Global convergence; ALGORITHM; CONVERGENCE; MINIMIZATION;
D O I：
10.1186/s13660-020-2300-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a fractional model is used to solve nonlinearly constrained optimization problems. In order to solve the fractional trust region subproblems simply, we propose an approximated solution method by cyclically fixing the fractional coefficient part of the approximate function. The global convergence of the fractional trust region method is proved, and the numerical results show that the new algorithm is effective and stable.
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页数：19
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