A globally convergent gradient-like method based on the Armijo line search

Document Type : Research Article


1 Department of Mathematics, University of Science and Technology of Mazandaran, Behshahr, Iran

2 Department of Mathematics, Razi university, Kermanshah, Iran


In this paper,  a new conjugate gradient-like algorithm is proposed to solve unconstrained optimization problems. The step directions generated by the new algorithm satisfy sufficient descent condition independent of the line search. The global convergence of the new algorithm, with the Armijo backtracking line search,  is proved.  Numerical experiments indicate the efficiency and robustness of the new algorithm.