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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Main Authors: | , , |
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Format: | Article |
Language: | English English |
Published: |
HIKARI Ltd.
2015
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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 |
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). |
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