A new nonlinear conjugate gradient method
Conjugate gradient (CG) methods are essential for solving large-scale unconstrained optimization problems. Many of studies and modifications have been practiced to improve this method. In this paper, a new class of conjugate gradient coefficients (β...
| Published in: | AIP Conference Proceedings |
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| Format: | Conference paper |
| Language: | English |
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American Institute of Physics Inc.
2015
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85061693638&doi=10.1063%2f1.4907497&partnerID=40&md5=e88653cd03da5375f65099630691f2a3 |
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2-s2.0-85061693638 Abdelrahman A.; Mamat M.; Mohd I.B.; Rivaie M.; Omer O. A new nonlinear conjugate gradient method 2015 AIP Conference Proceedings 1643 10.1063/1.4907497 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85061693638&doi=10.1063%2f1.4907497&partnerID=40&md5=e88653cd03da5375f65099630691f2a3 Conjugate gradient (CG) methods are essential for solving large-scale unconstrained optimization problems. Many of studies and modifications have been practiced to improve this method. In this paper, a new class of conjugate gradient coefficients (β k ) with a new parameter m=gkdk-1 that possess global convergence properties is presented. The global convergence and sufficient decent property result is established using inexact line searches to determine the step size of CG, denoted as k . Numerical result shows that the new formula is superior and more efficient when compared to other CG coefficients. © 2015 AIP Publishing LLC. American Institute of Physics Inc. 0094243X English Conference paper |
| author |
Abdelrahman A.; Mamat M.; Mohd I.B.; Rivaie M.; Omer O. |
| spellingShingle |
Abdelrahman A.; Mamat M.; Mohd I.B.; Rivaie M.; Omer O. A new nonlinear conjugate gradient method |
| author_facet |
Abdelrahman A.; Mamat M.; Mohd I.B.; Rivaie M.; Omer O. |
| author_sort |
Abdelrahman A.; Mamat M.; Mohd I.B.; Rivaie M.; Omer O. |
| title |
A new nonlinear conjugate gradient method |
| title_short |
A new nonlinear conjugate gradient method |
| title_full |
A new nonlinear conjugate gradient method |
| title_fullStr |
A new nonlinear conjugate gradient method |
| title_full_unstemmed |
A new nonlinear conjugate gradient method |
| title_sort |
A new nonlinear conjugate gradient method |
| publishDate |
2015 |
| container_title |
AIP Conference Proceedings |
| container_volume |
1643 |
| container_issue |
|
| doi_str_mv |
10.1063/1.4907497 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85061693638&doi=10.1063%2f1.4907497&partnerID=40&md5=e88653cd03da5375f65099630691f2a3 |
| description |
Conjugate gradient (CG) methods are essential for solving large-scale unconstrained optimization problems. Many of studies and modifications have been practiced to improve this method. In this paper, a new class of conjugate gradient coefficients (β k ) with a new parameter m=gkdk-1 that possess global convergence properties is presented. The global convergence and sufficient decent property result is established using inexact line searches to determine the step size of CG, denoted as k . Numerical result shows that the new formula is superior and more efficient when compared to other CG coefficients. © 2015 AIP Publishing LLC. |
| publisher |
American Institute of Physics Inc. |
| issn |
0094243X |
| language |
English |
| format |
Conference paper |
| accesstype |
|
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1809677911523852288 |