Hybrid procedures for solving some unconstrained nonlinear optimization problems Original Research Article

The vector ε-algorithm is a generalization of Aitken Δ2-process to the vector case. It has been used for solving a system of linear and nonlinear equations. The acceleration properties of the hybrid procedures have been also studied for solving a system of linear equations. In this paper, we consider the vector ε-algorithm and hybrid procedures for solving some unconstrained nonlinear optimization problems. A convergence acceleration result is established and numerical examples are given.