A Comparative Study of Three New Conjugate Gradient Methods with Exact Line Search

Conjugate Gradient methods play an important role in solving unconstrained optimization, especially for large scale problems. In this paper, we compared the performance profile of the classical conjugate gradient coefficients FR, PRP with three new beta(k). These three new beta(k) possess global con...

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Bibliographic Details
Main Authors: Abshar, A (Author), Hamoda, M (Author), Mamat, M (Author), Rivaie, M (Author)
Format: Article
Language:English
Published: 2015
Subjects:
Online Access:View Fulltext in Publisher
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008 220210s2015 CNT 000 0 und d
245 1 0 |a A Comparative Study of Three New Conjugate Gradient Methods with Exact Line Search 
260 0 |c 2015 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1063/1.4932439 
520 3 |a Conjugate Gradient methods play an important role in solving unconstrained optimization, especially for large scale problems. In this paper, we compared the performance profile of the classical conjugate gradient coefficients FR, PRP with three new beta(k). These three new beta(k) possess global convergence properties using the exact line search. Preliminary numerical results show that the three new beta(k) are very promising and efficient when compared to CG coefficients IA.PRP. 
650 0 4 |a Conjugate gradient method 
650 0 4 |a exact line search 
650 0 4 |a global convergence 
650 0 4 |a GLOBAL CONVERGENCE PROPERTIES 
650 0 4 |a large scale 
650 0 4 |a MINIMIZATION 
650 0 4 |a OPTIMIZATION 
650 0 4 |a unconstrained optimization 
700 1 0 |a Abshar, A  |e author 
700 1 0 |a Hamoda, M  |e author 
700 1 0 |a Mamat, M  |e author 
700 1 0 |a Rivaie, M  |e author