Two new classes of conjugate gradient method based on logistic mapping

Two new classes of conjugate gradient method based on logistic mapping

Conjugate gradient method
Descent condition
Global convergence condition
Logistic mapping
Unconstrained optimization

Following the standard methods proposed by Polak-Ribiere-Polyak (P-R), in this work we introduce two new non-linear conjugate gradient methods for solving unconstraint optimization problem, our new methods based on P-R. Standard method (P-R) have performance well in numerical result but does not satisfy global convergency condition. In this paper we modified double attractive and powerful parameters that have better performance and good numerical result than P-R method, also each of our robust method can satisfies the descent condition and global convergency condition by using wolf condition. More over the second method modified by logistic mapping form, the main novelty is their numerical results and demonstrate performance well with compare to a standard method.

Banaz Hamza Jahwar1, Alaa Luqman Ibrahim2, Sherzad Muhammad Ajeel1, Salah Gazi Shareef2

Journal homepage: http://telkomnika.uad.ac.id

Aug 14, 2023

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