A new class of quasi-Newton updating formulas for unconstrained optimization

Abstract

Problems of sciences concerned with minimizing an objective function that depends on real values without restrictions on there is called unconstrained optimization problems. Quasi-Newton methods are one of the most common approaches to solve unconstrained optimization problems. Mainly, the quasi-Newton equation is the focus of quasi-Newton methods. In this paper, we extended the quasi-Newton equation introduced by Razieh et al. [1] and some new quasi-Newton methods are presented. The convergence behaviors of the proposed methods were debated. It is worth mentioning that the proposed method is proved better in performance over other competitive methods and it’s able to solve unconstrained optimization problems.

Subject Classification: (2010):

• Primary: 49M15
• Secondary: 90C53

Keywords:

• Quasi-Newton methods
• Extend quasi-Newton equations
• Convergence properties