New scaled algorithm for non-linear conjugate gradients in unconstrained optimization

Ghada M. Al-Naemi, Ahmed H. Sheekoo

Abstract


A new scaled conjugate gradient (SCG) method is proposed throughout this paper, the SCG technique may be a special important generalization conjugate gradient (CG) method, and it is an efficient numerical method for solving nonlinear large scale unconstrained optimization. As a result, we proposed the new SCG method with a strong Wolfe condition (SWC) line search is proposed. The proposed technique's descent property, as well as its global convergence property, are satisfied without the use of any line searches under some suitable assumptions. The proposed technique's efficiency and feasibility are backed up by numerical experiments comparing them to traditional CG techniques.


Keywords


CG method; Large-scale nonlinear; SCG method; Sufficient descent property; Unconstrained optimization;

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DOI: http://doi.org/10.11591/ijeecs.v24.i3.pp1589-1595

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Indonesian Journal of Electrical Engineering and Computer Science (IJEECS)
p-ISSN: 2502-4752, e-ISSN: 2502-4760
This journal is published by the Institute of Advanced Engineering and Science (IAES) in collaboration with Intelektual Pustaka Media Utama (IPMU).

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