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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| Main Author: | |
| Format: | Conference paper |
| Language: | English |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 0094243X |
| DOI: | 10.1063/1.4907497 |