New Hybrid Conjugate Gradient Method as a Convex Combination of Dai–Liao and Wei–Yao–Liu
In this research, a new method of hybrid conjugated gradient methods was developed. This method is based mainly on the hybridization of Dia-Laio and Wei-Yao-Liu algorithms, by using convex fitting and conjugate condition of line Uncontrolled search. The resulting algorithm fulfills the condition of...
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| Format: | Article |
| Language: | English |
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Tikrit University
2021-12-01
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| Series: | Tikrit Journal of Pure Science |
| Subjects: | |
| Online Access: | https://tjpsj.org/index.php/tjps/article/view/199 |
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| _version_ | 1849704182314958848 |
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| author | Zeyad Mohammed Abdullah Faris Saleem Dhyab |
| author_facet | Zeyad Mohammed Abdullah Faris Saleem Dhyab |
| author_sort | Zeyad Mohammed Abdullah |
| collection | DOAJ |
| description |
In this research, a new method of hybrid conjugated gradient methods was developed. This method is based mainly on the hybridization of Dia-Laio and Wei-Yao-Liu algorithms, by using convex fitting and conjugate condition of line Uncontrolled search. The resulting algorithm fulfills the condition of sufficient proportions and has universal convergence under certain assumptions. The numerical results indicated the efficiency of this method in solving nonlinear test functions in the given unconstrained optimization.
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| format | Article |
| id | doaj-art-87fe14d01a6744c197597f5808c5008d |
| institution | DOAJ |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2021-12-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-87fe14d01a6744c197597f5808c5008d2025-08-20T03:16:51ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262021-12-0126610.25130/tjps.v26i6.199New Hybrid Conjugate Gradient Method as a Convex Combination of Dai–Liao and Wei–Yao–LiuZeyad Mohammed AbdullahFaris Saleem Dhyab In this research, a new method of hybrid conjugated gradient methods was developed. This method is based mainly on the hybridization of Dia-Laio and Wei-Yao-Liu algorithms, by using convex fitting and conjugate condition of line Uncontrolled search. The resulting algorithm fulfills the condition of sufficient proportions and has universal convergence under certain assumptions. The numerical results indicated the efficiency of this method in solving nonlinear test functions in the given unconstrained optimization. https://tjpsj.org/index.php/tjps/article/view/199Unconstrained optimizationConjugate Gradient methodInexact line searchGlobal convergenceHybrid conjugate gradient method |
| spellingShingle | Zeyad Mohammed Abdullah Faris Saleem Dhyab New Hybrid Conjugate Gradient Method as a Convex Combination of Dai–Liao and Wei–Yao–Liu Tikrit Journal of Pure Science Unconstrained optimization Conjugate Gradient method Inexact line search Global convergence Hybrid conjugate gradient method |
| title | New Hybrid Conjugate Gradient Method as a Convex Combination of Dai–Liao and Wei–Yao–Liu |
| title_full | New Hybrid Conjugate Gradient Method as a Convex Combination of Dai–Liao and Wei–Yao–Liu |
| title_fullStr | New Hybrid Conjugate Gradient Method as a Convex Combination of Dai–Liao and Wei–Yao–Liu |
| title_full_unstemmed | New Hybrid Conjugate Gradient Method as a Convex Combination of Dai–Liao and Wei–Yao–Liu |
| title_short | New Hybrid Conjugate Gradient Method as a Convex Combination of Dai–Liao and Wei–Yao–Liu |
| title_sort | new hybrid conjugate gradient method as a convex combination of dai liao and wei yao liu |
| topic | Unconstrained optimization Conjugate Gradient method Inexact line search Global convergence Hybrid conjugate gradient method |
| url | https://tjpsj.org/index.php/tjps/article/view/199 |
| work_keys_str_mv | AT zeyadmohammedabdullah newhybridconjugategradientmethodasaconvexcombinationofdailiaoandweiyaoliu AT farissaleemdhyab newhybridconjugategradientmethodasaconvexcombinationofdailiaoandweiyaoliu |