Global convergence of two spectral conjugate gradient methods
Two new nonlinear spectral conjugate gradient methods for solving unconstrained optimization problems are proposed. One is based on the Hestenes and Stiefel (HS) method and the spectral conjugate gradient method. The other is based on a mixed spectral HS-CD conjugate gradient method, which combines...
Saved in:
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
2013
|
Subjects: | |
Online Access: | http://eprints.utm.my/id/eprint/50572/1/TahirAhmad2013_Globalconvergenceoftwospectral.pdf http://eprints.utm.my/id/eprint/50572/ http://dx.doi.org/10.2306/scienceasia1513-1874.2013.39.306 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
my.utm.50572 |
---|---|
record_format |
eprints |
spelling |
my.utm.505722018-10-14T08:37:03Z http://eprints.utm.my/id/eprint/50572/ Global convergence of two spectral conjugate gradient methods Ghanbari, Mahdi Ahmad, Tahir Alias, Norma Askaripour, Mohammadreza Q Science Two new nonlinear spectral conjugate gradient methods for solving unconstrained optimization problems are proposed. One is based on the Hestenes and Stiefel (HS) method and the spectral conjugate gradient method. The other is based on a mixed spectral HS-CD conjugate gradient method, which combines the advantages of the spectral conjugate gradient method, the HS method, and the CD method. The directions generated by the methods are descent directions for the objective function. Under mild conditions, we prove that the spectral conjugate gradient methods with an Armijo-type line search are globally convergent. Numerical results show the proposed methods are promising 2013 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/50572/1/TahirAhmad2013_Globalconvergenceoftwospectral.pdf Ghanbari, Mahdi and Ahmad, Tahir and Alias, Norma and Askaripour, Mohammadreza (2013) Global convergence of two spectral conjugate gradient methods. Scienceasia, 39 (3). pp. 306-311. ISSN 1513-1874 http://dx.doi.org/10.2306/scienceasia1513-1874.2013.39.306 DOI: 10.2306/scienceasia1513-1874.2013.39.306 |
institution |
Universiti Teknologi Malaysia |
building |
UTM Library |
collection |
Institutional Repository |
continent |
Asia |
country |
Malaysia |
content_provider |
Universiti Teknologi Malaysia |
content_source |
UTM Institutional Repository |
url_provider |
http://eprints.utm.my/ |
language |
English |
topic |
Q Science |
spellingShingle |
Q Science Ghanbari, Mahdi Ahmad, Tahir Alias, Norma Askaripour, Mohammadreza Global convergence of two spectral conjugate gradient methods |
description |
Two new nonlinear spectral conjugate gradient methods for solving unconstrained optimization problems are proposed. One is based on the Hestenes and Stiefel (HS) method and the spectral conjugate gradient method. The other is based on a mixed spectral HS-CD conjugate gradient method, which combines the advantages of the spectral conjugate gradient method, the HS method, and the CD method. The directions generated by the methods are descent directions for the objective function. Under mild conditions, we prove that the spectral conjugate gradient methods with an Armijo-type line search are globally convergent. Numerical results show the proposed methods are promising |
format |
Article |
author |
Ghanbari, Mahdi Ahmad, Tahir Alias, Norma Askaripour, Mohammadreza |
author_facet |
Ghanbari, Mahdi Ahmad, Tahir Alias, Norma Askaripour, Mohammadreza |
author_sort |
Ghanbari, Mahdi |
title |
Global convergence of two spectral conjugate gradient methods |
title_short |
Global convergence of two spectral conjugate gradient methods |
title_full |
Global convergence of two spectral conjugate gradient methods |
title_fullStr |
Global convergence of two spectral conjugate gradient methods |
title_full_unstemmed |
Global convergence of two spectral conjugate gradient methods |
title_sort |
global convergence of two spectral conjugate gradient methods |
publishDate |
2013 |
url |
http://eprints.utm.my/id/eprint/50572/1/TahirAhmad2013_Globalconvergenceoftwospectral.pdf http://eprints.utm.my/id/eprint/50572/ http://dx.doi.org/10.2306/scienceasia1513-1874.2013.39.306 |
_version_ |
1643652808880160768 |
score |
13.1944895 |