A Derivative-Free Trust Region Algorithm with Nonmonotone Filter Technique for Bound Constrained Optimization

作者：Gao, Jing; Cao, Jian^*; Yang, Yueting

来源：Mathematical Problems in Engineering, 2018, 2018: 5049027.

DOI：10.1155/2018/5049027

• INTERIOR BACKTRACKING TECHNIQUE
• GLOBAL CONVERGENCE
• NONLINEAR MINIMIZATION
• SUBJECT

We propose a derivative-free trust region algorithm with a nonmonotone filter technique for bound constrained optimization. The derivative-free strategy is applied for special minimization functions in which derivatives are not all available. A nonmonotone filter technique ensures not only the trust region feature but also the global convergence under reasonable assumptions. Numerical experiments demonstrate that the new algorithm is effective for bound constrained optimization. Locally, optimal parameters with respect to overall computational time on a set of test problems are identified. The performance of the best choice of parameter values obtained by the algorithm we presented which differs from traditionally used values indicates that the algorithm proposed in this paper has a certain advantage for the nondifferentiable optimization problems.

• 出版日期2018
• 单位北华大学