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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 66, 2017 - Issue 5
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Articles

Some new three-term Hestenes–Stiefel conjugate gradient methods with affine combination

Xiao-Liang DongSchool of Mathematics Science, Nanjing Normal University, Nanjing, P.R. China.;School of Mathematics and Information, Beifang University of Nationalities, Yinchuan, P.R. China.Correspondence[email protected]
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,
De-Ren HanSchool of Mathematics Science, Nanjing Normal University, Nanjing, P.R. China.View further author information
,
Reza GhanbariDepartment of Mathematical Science, Ferdowsi University of Mashhad, Mashhad, Iran.View further author information
,
Xiang-Li LiSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, P.R. China.View further author information
&
Zhi-Feng DaiCollege of Mathematics and statistics, Changsha University of Science and Technology, Changsha, P.R. China.View further author information
Pages 759-776 | Received 05 Jun 2016, Accepted 05 Feb 2017, Published online: 23 Feb 2017

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Abdulkarim Hassan Ibrahim, Poom Kumam, Basim A. Hassan, Auwal Bala Abubakar & Jamilu Abubakar. (2022) A derivative-free three-term Hestenes–Stiefel type method for constrained nonlinear equations and image restoration. International Journal of Computer Mathematics 99:5, pages 1041-1065.
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Xiao-Liang Dong, Ze-Xian Liu, Hong-Wei Liu & Xiang-Li Li. (2019) An efficient adaptive three-term extension of the Hestenes–Stiefel conjugate gradient method. Optimization Methods and Software 34:3, pages 546-559.
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Articles from other publishers (15)

M. A. I. Ishak & S. M. Marjugi. (2024) A New Hybrid Three-Term LS-CD Conjugate Gradient In Solving Unconstrained Optimization Problems. Malaysian Journal of Mathematical Sciences 18:1, pages 167-184.
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Poom Kumam, Auwal Bala Abubakar, Maulana Malik, Abdulkarim Hassan Ibrahim, Nuttapol Pakkaranang & Bancha Panyanak. (2023) A hybrid HS-LS conjugate gradient algorithm for unconstrained optimization with applications in motion control and image recovery. Journal of Computational and Applied Mathematics 433, pages 115304.
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Oluwaseun B. Onuoha. (2023) A Sufficient Descent Dai-Liao Type Conjugate Gradient Update Parameter. Earthline Journal of Mathematical Sciences, pages 353-368.
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Zohre Aminifard, Saman Babaie-Kafaki & Nasrin Mirhoseini. (2023) An Accelerated Three-Term Extension of a Descent Nonlinear Conjugate Gradient Method. Asia-Pacific Journal of Operational Research 40:03.
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Saman Babaie-Kafaki, Nasrin Mirhoseini & Zohre Aminifard. (2022) A descent extension of a modified Polak–Ribière–Polyak method with application in image restoration problem. Optimization Letters 17:2, pages 351-367.
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Auwal Bala Abubakar, Poom Kumam, Maulana Malik & Abdulkarim Hassan Ibrahim. (2022) A hybrid conjugate gradient based approach for solving unconstrained optimization and motion control problems. Mathematics and Computers in Simulation 201, pages 640-657.
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Auwal Bala Abubakar, Maulana Malik, Poom Kumam, Hassan Mohammad, Min Sun, Abdulkarim Hassan Ibrahim & Aliyu Ibrahim Kiri. (2022) A Liu-Storey-type conjugate gradient method for unconstrained minimization problem with application in motion control. Journal of King Saud University - Science 34:4, pages 101923.
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Elsaid Md. Abdelrahim. (2020) Binary particle swarm optimization-based T-S fuzzy predictive controller for nonlinear automotive application. Neural Computing and Applications 33:7, pages 2803-2818.
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Sobia Rafeeq, Humaira Kalsoom, Sabir Hussain, Saima Rashid & Yu-Ming Chu. (2020) Delay dynamic double integral inequalities on time scales with applications. Advances in Difference Equations 2020:1.
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Chunming Tang, Shuangyu Li & Zengru Cui. (2020) Least-squares-based three-term conjugate gradient methods. Journal of Inequalities and Applications 2020:1.
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Hasan Koyuncu. (2020) GM-CPSO: A New Viewpoint to Chaotic Particle Swarm Optimization via Gauss Map. Neural Processing Letters 52:1, pages 241-266.
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Mina Lotfi & S.Mohammad Hosseini. (2020) An efficient Dai–Liao type conjugate gradient method by reformulating the CG parameter in the search direction equation. Journal of Computational and Applied Mathematics 371, pages 112708.
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Zhifeng Dai & Huan Zhu. (2020) A Modified Hestenes-Stiefel-Type Derivative-Free Method for Large-Scale Nonlinear Monotone Equations. Mathematics 8:2, pages 168.
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Xianzhen Jiang & Jinbao Jian. (2019) Improved Fletcher–Reeves and Dai–Yuan conjugate gradient methods with the strong Wolfe line search. Journal of Computational and Applied Mathematics 348, pages 525-534.
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XiaoLiang Dong, Deren Han, Zhifeng Dai, Lixiang Li & Jianguang Zhu. (2018) An Accelerated Three-Term Conjugate Gradient Method with Sufficient Descent Condition and Conjugacy Condition. Journal of Optimization Theory and Applications 179:3, pages 944-961.
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