Performance comparison of a new hybrid conjugate gradient method under exact and inexact line searches

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building INTELEK Repository
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collectionurl https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072
date 2017-10-17 12:38:28
eventvenue Vistana City Centre Kuantan, Pahang
format Restricted Document
id 6868
institution UniSZA
originalfilename 1484-01-FH03-FIK-17-10488.jpg
person norman
recordtype oai_dc
resourceurl https://intelek.unisza.edu.my/intelek/pages/view.php?ref=6868
spelling 6868 https://intelek.unisza.edu.my/intelek/pages/view.php?ref=6868 https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 Restricted Document Conference Conference Paper image/jpeg inches 96 96 norman 69 69 1437 2017-10-17 12:38:28 734 1437x734 1484-01-FH03-FIK-17-10488.jpg UniSZA Private Access Performance comparison of a new hybrid conjugate gradient method under exact and inexact line searches Conjugate gradient (CG) method is one of iterative techniques prominently used in solving unconstrained optimization problems due to its simplicity, low memory storage, and good convergence analysis. This paper presents a new hybrid conjugate gradient method, named NRM1 method. The method is analyzed under the exact and inexact line searches in given conditions. Theoretically, proofs show that the NRM1 method satisfies the sufficient descent condition with both line searches. The computational result indicates that NRM1 method is capable in solving the standard unconstrained optimization problems used. On the other hand, the NRM1 method performs better under inexact line search compared with exact line search. 1st International Conference on Applied and Industrial Mathematics and Statistics 2017, ICoAIMS 2017; Vistana City Centre Kuantan, Pahang
spellingShingle Performance comparison of a new hybrid conjugate gradient method under exact and inexact line searches
summary Conjugate gradient (CG) method is one of iterative techniques prominently used in solving unconstrained optimization problems due to its simplicity, low memory storage, and good convergence analysis. This paper presents a new hybrid conjugate gradient method, named NRM1 method. The method is analyzed under the exact and inexact line searches in given conditions. Theoretically, proofs show that the NRM1 method satisfies the sufficient descent condition with both line searches. The computational result indicates that NRM1 method is capable in solving the standard unconstrained optimization problems used. On the other hand, the NRM1 method performs better under inexact line search compared with exact line search.
title Performance comparison of a new hybrid conjugate gradient method under exact and inexact line searches
title_full Performance comparison of a new hybrid conjugate gradient method under exact and inexact line searches
title_fullStr Performance comparison of a new hybrid conjugate gradient method under exact and inexact line searches
title_full_unstemmed Performance comparison of a new hybrid conjugate gradient method under exact and inexact line searches
title_short Performance comparison of a new hybrid conjugate gradient method under exact and inexact line searches
title_sort performance comparison of a new hybrid conjugate gradient method under exact and inexact line searches