Guta, Berhanu (PhD)Yeshitla, Abaye2019-05-222023-11-092019-05-222023-11-092018-05-02http://10.90.10.223:4000/handle/123456789/18286In this project, we propose a trust region dogleg method algorithms to solve a trust region subproblems arising form unconstrained optimization. The method can deal with by constricting a dogleg paths. The case when the Hessian B of quadratic models is positive de nite. The philosophy and fundamental ideas of trust region algorithms are discussed and proved that the method is globally convergent and has a supper linear convergence rate. And then the nal algorithm is programmed in MATLAB and implemented by taking appropriate test problem.enTrust RegionDogleg PathDogleg MethodConvergenceThesis