Several Guaranteed Descent Conjugate Gradient Methods for Unconstrained Optimization
This paper investigates a general form of guaranteed descent conjugate gradient methods which satisfies the descent condition gkTdk≤-1-1/4θkgk2 θk>1/4 and which is strongly convergent whenever the weak Wolfe line search is fulfilled. Moreover, we present several specific guaranteed descent conju...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/825958 |
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| _version_ | 1832563974291324928 |
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| author | San-Yang Liu Yuan-Yuan Huang |
| author_facet | San-Yang Liu Yuan-Yuan Huang |
| author_sort | San-Yang Liu |
| collection | DOAJ |
| description | This paper investigates a general form of guaranteed descent conjugate gradient methods which satisfies the descent condition gkTdk≤-1-1/4θkgk2 θk>1/4 and which is strongly convergent whenever the weak Wolfe line search is fulfilled. Moreover, we present several specific guaranteed descent conjugate gradient methods and give their numerical results for large-scale unconstrained optimization. |
| format | Article |
| id | doaj-art-2bf38449e120487494ff7351f46e1a08 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2bf38449e120487494ff7351f46e1a082025-02-03T01:12:08ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/825958825958Several Guaranteed Descent Conjugate Gradient Methods for Unconstrained OptimizationSan-Yang Liu0Yuan-Yuan Huang1School of Mathematics and Statistics, Xidian University, Xi’an 710071, ChinaSchool of Mathematics and Statistics, Xidian University, Xi’an 710071, ChinaThis paper investigates a general form of guaranteed descent conjugate gradient methods which satisfies the descent condition gkTdk≤-1-1/4θkgk2 θk>1/4 and which is strongly convergent whenever the weak Wolfe line search is fulfilled. Moreover, we present several specific guaranteed descent conjugate gradient methods and give their numerical results for large-scale unconstrained optimization.http://dx.doi.org/10.1155/2014/825958 |
| spellingShingle | San-Yang Liu Yuan-Yuan Huang Several Guaranteed Descent Conjugate Gradient Methods for Unconstrained Optimization Journal of Applied Mathematics |
| title | Several Guaranteed Descent Conjugate Gradient Methods for Unconstrained Optimization |
| title_full | Several Guaranteed Descent Conjugate Gradient Methods for Unconstrained Optimization |
| title_fullStr | Several Guaranteed Descent Conjugate Gradient Methods for Unconstrained Optimization |
| title_full_unstemmed | Several Guaranteed Descent Conjugate Gradient Methods for Unconstrained Optimization |
| title_short | Several Guaranteed Descent Conjugate Gradient Methods for Unconstrained Optimization |
| title_sort | several guaranteed descent conjugate gradient methods for unconstrained optimization |
| url | http://dx.doi.org/10.1155/2014/825958 |
| work_keys_str_mv | AT sanyangliu severalguaranteeddescentconjugategradientmethodsforunconstrainedoptimization AT yuanyuanhuang severalguaranteeddescentconjugategradientmethodsforunconstrainedoptimization |