1. Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China 2. Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
Abstract:
In this paper, a new trust region subproblem is proposed. The trust radius in the new subproblem adjusts itself adaptively.
As a result, an adaptive trust region method is constructed based on the new trust region subproblem. The local and global
convergence results of the adaptive trust region method are proved. Numerical results indicate that the new method is very
efficient.