It is well known that trust region methods are very effective for optimization problems. In this
article, a new adaptive trust region method is presented for solving unconstrained …

A nonmonotone trust-region method for the solution of nonlinear systems of equations with
box constraints is considered. The method differs from existing trust-region methods both in …

This paper gives a variant trust-region method, where its radius is automatically adjusted by
using the model information gathered at the current and preceding iterations. The primary …

This study presents a novel adaptive trust-region method for solving symmetric nonlinear
systems of equations. The new method uses a derivative-free quasi-Newton formula in place …

This paper addresses some trust-region methods equipped with nonmonotone strategies for
solving nonlinear unconstrained optimization problems. More specifically, the importance of …

Parameters estimation of Muskingum model is very significative in both exploitation and
utilization of water resources and hydrological forecasting. The optimal results of parameters …

In this paper, we propose a new non-monotone conjugate gradient method for solving
unconstrained nonlinear optimization problems. We first modify the non-monotone line …

We propose a nonmonotone trust region method for unconstrained optimization problems
on Riemannian manifolds. Global convergence to the first-order stationary points is proved …

This paper presents an algorithm for global optimization problem whose objective functions
is Lipschitz continuous but not necessarily differentiable. The proposed algorithm consists of …

This paper proposes a modified BFGS formula using a trust region model for solving
nonsmooth convex minimizations by using the Moreau-Yosida regularization (smoothing) …