A Modified Three-Term Type CD Conjugate Gradient Algorithm for Unconstrained Optimization Problems
Conjugate gradient methods are well-known methods which are widely applied in many practical fields. CD conjugate gradient method is one of the classical types. In this paper, a modified three-term type CD conjugate gradient algorithm is proposed. Some good features are presented as follows: (i) A m...
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| Vydané v: | Mathematical problems in engineering Ročník 2020; číslo 2020; s. 1 - 14 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Cairo, Egypt
Hindawi Publishing Corporation
2020
Hindawi John Wiley & Sons, Inc |
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| ISSN: | 1024-123X, 1563-5147 |
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| Abstract | Conjugate gradient methods are well-known methods which are widely applied in many practical fields. CD conjugate gradient method is one of the classical types. In this paper, a modified three-term type CD conjugate gradient algorithm is proposed. Some good features are presented as follows: (i) A modified three-term type CD conjugate gradient formula is presented. (ii) The given algorithm possesses sufficient descent property and trust region property. (iii) The algorithm has global convergence with the modified weak Wolfe–Powell (MWWP) line search technique and projection technique for general function. The new algorithm has made great progress in numerical experiments. It shows that the modified three-term type CD conjugate gradient method is more competitive than the classical CD conjugate gradient method. |
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| AbstractList | Conjugate gradient methods are well-known methods which are widely applied in many practical fields. CD conjugate gradient method is one of the classical types. In this paper, a modified three-term type CD conjugate gradient algorithm is proposed. Some good features are presented as follows: (i) A modified three-term type CD conjugate gradient formula is presented. (ii) The given algorithm possesses sufficient descent property and trust region property. (iii) The algorithm has global convergence with the modified weak Wolfe–Powell (MWWP) line search technique and projection technique for general function. The new algorithm has made great progress in numerical experiments. It shows that the modified three-term type CD conjugate gradient method is more competitive than the classical CD conjugate gradient method. |
| Author | Pham, Hongtruong Wang, Zhan Li, Pengyuan Li, Xiangrong |
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| Cites_doi | 10.1051/m2an/196903r100351 10.1007/s10092-015-0140-5 10.1186/s13660-018-1703-1 10.1155/2015/573894 10.1016/j.apnum.2020.01.019 10.1061/(asce)0733-9437(2006)132:5(474) 10.1093/imanum/drl016 10.1093/comjnl/7.2.149 10.1155/2014/305643 10.1016/j.apnum.2019.08.022 10.1093/imanum/5.1.121 10.1137/0704002 10.1016/j.cam.2018.10.057 10.1007/bf00940464 10.1137/s1052623494268443 10.1016/j.apm.2017.02.008 10.6028/jres.049.044 10.1142/s0218001414590034 10.1007/s101070100263 10.1007/s11075-019-00787-7 10.1016/0041-5553(69)90035-4 10.1016/j.cam.2017.05.030 |
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| Copyright | Copyright © 2020 Zhan Wang et al. Copyright © 2020 Zhan Wang et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
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| Title | A Modified Three-Term Type CD Conjugate Gradient Algorithm for Unconstrained Optimization Problems |
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