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

12 Apr 2019  ·  Ahmad Kamandi, Keyvan Amini ·

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.

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Optimization and Control 65K10 G.0