Nonmonotone Adaptive Trust Region Research Articles

A nonmonotone adaptive trust-region algorithm for symmetric nonlinear equations

In this paper, we propose a nonmonotone adap-tive trust-region method for solving symmetric nonlinear equations problems. The convergent result of the presented method will be estab-lished under favorable conditions. Numerical results are reported.

Nonmonotone adaptive trust-region method for unconstrained optimization problems

In this paper, an adaptive trust region method with nonmonotone technique for unconstrained optimization problems is presented and analyzed. The global and local convergence results of the algorithm are established. Numerical results show that the new method is efficient.

A nonmonotone adaptive trust region method and its convergence

In this paper, we combine the new trust region subproblem proposed in [1] with the nonmonotone technique to propose a new algorithm for unconstrained optimization—the nonmonotone adaptive trust region method. The local and global convergence properties of the nonmonotone adaptive trust region method are proved. Its efficiency is tested by numerical results.