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

被引：0
|
作者：
Honglan Zhu
Qin Ni
Xuebing Zhang
机构：
[1] Nanjing University of Aeronautics and Astronautics,College of Science
[2] Huaiyin Institute of Technology,Business School
[3] Nanjing University of Information Science and Technology,College of Mathematics and Statistics
来源：
Journal of Inequalities and Applications | / 2020卷
关键词：
Nonlinearly equality constrained optimization; Fractional model; Trust region method; Approximated solution method; Global convergence;
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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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