A New Nonlinear Conjugate Gradient Coefficient for Unconstrained Optimization

In this paper, we suggest a new nonlinear conjugate gradient method for solving large scale unconstrained optimization problems. We prove that the new conjugate gradient coefficient β k with exact line search is globally convergent. Preliminary numerical results with a set of 116 unconstrained optim...

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Bibliographic Details
Main Authors: Mustafa, Mamat, Mohamed, Hamoda, Mohd, Rivaie
Format: Article
Language:English
English
Published: HIKARI Ltd. 2015
Subjects:
Online Access:http://eprints.unisza.edu.my/6232/1/FH02-FIK-15-03336.pdf
http://eprints.unisza.edu.my/6232/2/FH02-FIK-15-03431.jpg
http://eprints.unisza.edu.my/6232/
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Institution: Universiti Sultan Zainal Abidin
Language: English
English
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Summary:In this paper, we suggest a new nonlinear conjugate gradient method for solving large scale unconstrained optimization problems. We prove that the new conjugate gradient coefficient β k with exact line search is globally convergent. Preliminary numerical results with a set of 116 unconstrained optimization problems show that β k is very promising and efficient when compared to the other conjugate gradient coefficients Fletcher - Reeves (FR) and Polak -Ribiere – Polyak (PRP).