A new alternating direction trust region method based on conic model for solving unconstrained optimization
Optimization and Control
2018-12-06 v1
Abstract
In this paper, a new alternating direction trust region method based on conic model is used to solve unconstrained optimization problems. By use of the alternating direction method, the new conic model trust region subproblem is solved by two steps in two orthogonal directions. This new idea overcomes the shortcomings of conic model subproblem which is difficult to solve. Then the global convergence of the method under some reasonable conditions is established. Numerical experiment shows that this method may be better than the dogleg method to solve the subproblem, especially for large-scale problems.
Cite
@article{arxiv.1812.01935,
title = {A new alternating direction trust region method based on conic model for solving unconstrained optimization},
author = {Honglan Zhu and Qin Ni and Chuangyin Dang},
journal= {arXiv preprint arXiv:1812.01935},
year = {2018}
}
Comments
18 pages,3 tables