An Alternative Modified Quasi-Newton Equation for Solving Unconstrained Optimization Problems

One of the major issues in quasi-Newton methods is how to choose an appropriate quasi-Newton equation while running the algorithm. The quasi-Newton equation proposed by Zhang et al. in this work was modified by us. Considering both the gradient and function values is a crucial component of the suggested technique. Under reasonable assumptions, we also specified the suggested approach's global convergence. By contrasting the suggested technique with the BFGS-method, the numerical results demonstrate the proposed method's effectiveness.