The trust region method (TRM) is a very important technique to solve both of linear and
nonlinear systems of equations. In this work, a new modified algorithm of a TRM with …

In this work, we combine adaptive trust region method TRM with nonmonotone strategy to
introduce a new algorithm to solve systems of unconstrained optimization problems …

The major aim of this paper is to find a solution for systems of non-linear equations, a new
method is suggested by combining the trust region method (TRM) with BFGS technique …

This study presents a new trust-region procedure to solve a system of nonlinear equations in
several variables. The proposed approach combines an effective adaptive trust-region …

We study a global optimization problem where the objective function can be observed
exactly at individual design points with no derivative information. We suppose that the …

Aiming at enhancing the extent of military automatization and the effectiveness of armed
helicopters in complex battlefield environment, integrated fire/flight control (IFFC) coupler …

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 paper presents a new trust-region procedure for solving symmetric nonlinear systems of
equations having several variables. The proposed approach takes advantage of the …

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 …

In this paper, we propose a nonmonotone adaptive trust region method for unconstrained
optimization problems. This method can produce an adaptive trust region radius …