Search Results - Three-term conjugate gradient projection algorithm

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  1. 1

    Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery by Abubakar, Auwal Bala, Kumam, Poom, Awwal, Aliyu Muhammed

    ISSN: 2590-0374, 2590-0374
    Published: Elsevier B.V 01.12.2019
    Published in Results in applied mathematics (01.12.2019)
    “…In this article, we propose a three-term conjugate gradient projection algorithm for solving constrained monotone nonlinear equations…”
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    Journal Article
  2. 2

    A hybrid three-term conjugate gradient projection method for constrained nonlinear monotone equations with applications by Yin, Jianghua, Jian, Jinbao, Jiang, Xianzhen, Liu, Meixing, Wang, Lingzhi

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.09.2021
    Published in Numerical algorithms (01.09.2021)
    “…In this paper, based on the three-term conjugate gradient method and the hybrid technique, we propose a hybrid three-term conjugate gradient projection method by incorporating the adaptive line search…”
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  3. 3

    A modified inertial three-term conjugate gradient projection method for constrained nonlinear equations with applications in compressed sensing by Ma, Guodong, Jin, Jiachen, Jian, Jinbao, Yin, Jianghua, Han, Daolan

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.03.2023
    Published in Numerical algorithms (01.03.2023)
    “…In this paper, based on the three-term conjugate gradient projection method and the inertial technique, we propose a modified inertial three-term conjugate gradient projection method for solving…”
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  4. 4

    Solving constrained nonlinear equations with an inertial-based hybrid three-term CGP algorithm: application to image denoising by Li, Dandan, Li, Yong, Wang, Songhua

    ISSN: 1598-5865, 1865-2085
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2025
    Published in Journal of applied mathematics & computing (01.09.2025)
    “…In this paper, an inertial-based hybrid three-term conjugate gradient projection (CGP…”
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  5. 5

    Convergence analysis of a three-term extended RMIL CGP-based algorithm for constrained nonlinear equations and image denoising applications by Li, Dandan, Wang, Songhua, Xia, Yan, Ma, Xuejie

    ISSN: 2688-1594, 2688-1594
    Published: AIMS Press 01.06.2025
    Published in Electronic research archive (01.06.2025)
    “…) conjugate gradient projection (CGP)-based algorithm for solving constrained nonlinear equations…”
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  6. 6

    A Modified Three-Term Type CD Conjugate Gradient Algorithm for Unconstrained Optimization Problems by Pham, Hongtruong, Li, Xiangrong, Li, Pengyuan, Wang, Zhan

    ISSN: 1024-123X, 1563-5147
    Published: Cairo, Egypt Hindawi Publishing Corporation 2020
    “… CD conjugate gradient method is one of the classical types. In this paper, a modified three-term type CD conjugate gradient algorithm is proposed…”
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  7. 7

    A family of three-term conjugate gradient projection methods with a restart procedure and their relaxed-inertial extensions for the constrained nonlinear pseudo-monotone equations with applications by Liu, Pengjie, Shao, Hu, Yuan, Zihang, Wu, Xiaoyu, Zheng, Tianlei

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.11.2023
    Published in Numerical algorithms (01.11.2023)
    “… In this paper, we extend this method to a family of three-term conjugate gradient projection methods with a restart procedure and their relaxed-inertial versions for constrained nonlinear pseudo-monotone equations…”
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  8. 8

    New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems by Abubakar, Auwal Bala, Kumam, Poom, Liu, Jinkui, Mohammad, Hassan, Tammer, Christiane

    ISSN: 0020-7160, 1029-0265
    Published: Abingdon Taylor & Francis 03.10.2023
    “…This work presents a new three-term projection algorithm for solving nonlinear monotone equations…”
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  9. 9

    A derivative-free memoryless BFGS hyperplane projection method for solving large-scale nonlinear monotone equations by Huang, Fei, Deng, Songhai, Tang, Jinyuan

    ISSN: 1432-7643, 1433-7479
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2023
    Published in Soft computing (Berlin, Germany) (01.04.2023)
    “…In this work, by combining a three-term memoryless BFGS conjugate gradient direction with the hyperplane projection technique , we develop a new derivative-free algorithm to solve nonlinear monotone equations…”
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  10. 10

    A Three-Term Hybrid Conjugate Gradient Projection Method for Solving Convex Constrained Nonlinear Monotone Equations and Applications by Fang, Xiaowei, Rao, Yufan, Wang, Jingchi

    ISSN: 2169-3536, 2169-3536
    Published: Piscataway IEEE 2025
    Published in IEEE access (2025)
    “…This paper presents a new three-term hybrid conjugate gradient projection method for handling large-scale convex-constrained nonlinear monotone equations that are prevalent in fields…”
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  11. 11

    A three-term CGPM-based algorithm without Lipschitz continuity for constrained nonlinear monotone equations with applications by Liu, Pengjie, Shao, Hu, Wang, Yun, Wu, Xiaoyu

    ISSN: 0168-9274, 1873-5460
    Published: Elsevier B.V 01.05.2022
    Published in Applied numerical mathematics (01.05.2022)
    “…In this work, a new three-term conjugate gradient projection method (CGPM) with a new adaptive line search strategy is proposed for solving the large-scale nonlinear monotone equations with convex constraints…”
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  12. 12

    A new class of three-term double projection approach for solving nonlinear monotone equations by Mahdi, M M, Shiker, Mushtak A.K.

    ISSN: 1742-6588, 1742-6596
    Published: IOP Publishing 01.11.2020
    Published in Journal of physics. Conference series (01.11.2020)
    “…The derivative-free projection methodology is important and highly efficient method to solve large scale monotone equations of nonlinear systems…”
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  13. 13

    Projected variable three-term conjugate gradient algorithm for enhancing generalization performance in deep neural network training by Kim, Sanghyuk, Kim, Hansu, Kang, Namwoo, Lee, Tae Hee

    ISSN: 0925-2312
    Published: Elsevier B.V 07.12.2025
    Published in Neurocomputing (Amsterdam) (07.12.2025)
    “… To address this, we introduce the projected variable three-term conjugate gradient (PVTTCG) algorithm. Motivated by the geometric instabilities in modern networks that use techniques such as batch normalization…”
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  14. 14

    A conjugate gradient projection method with restart procedure for solving constraint equations and image restorations by Jiang, Xianzhen, Huang, Zefeng, Yang, Huihui

    ISSN: 1598-5865, 1865-2085
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2024
    Published in Journal of applied mathematics & computing (01.06.2024)
    “… In this paper, a new search direction with restart procedure is proposed, and a self-adjusting line search criterion is improved, then a three-term conjugate gradient projection method is designed…”
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  15. 15

    A new three-term conjugate gradient-based projection method for solving large-scale nonlinear monotone equations by Koorapetse, Mompati, Kaelo, Professor

    ISSN: 1392-6292, 1648-3510
    Published: Vilnius Vilnius Gediminas Technical University 25.10.2019
    Published in Mathematical modelling and analysis (25.10.2019)
    “…A new three-term conjugate gradient-based projection method is presented in this paper for solving large-scale nonlinear monotone equations…”
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  16. 16

    Scaled Three-Term Conjugate Gradient Methods for Solving Monotone Equations with Application by Sabi’u, Jamilu, Aremu, Kazeem Olalekan, Althobaiti, Ali, Shah, Abdullah

    ISSN: 2073-8994, 2073-8994
    Published: Basel MDPI AG 01.05.2022
    Published in Symmetry (Basel) (01.05.2022)
    “…´nez strategy using the descent three-term CG direction and the Newton direction. The proposed CG parameter is applied and suggests a robust algorithm for solving constrained monotone equations with an application to image restoration problems…”
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  17. 17

    A new family of hybrid three-term conjugate gradient methods with applications in image restoration by Jiang, Xianzhen, Liao, Wei, Yin, Jianghua, Jian, Jinbao

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.09.2022
    Published in Numerical algorithms (01.09.2022)
    “…In this paper, based on the hybrid conjugate gradient method and the convex combination technique, a new family of hybrid three-term conjugate gradient methods are proposed for solving unconstrained optimization…”
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  18. 18

    New hybrid three-term spectral-conjugate gradient method for finding solutions of nonlinear monotone operator equations with applications by Abubakar, Auwal Bala, Kumam, Poom, Ibrahim, Abdulkarim Hassan, Chaipunya, Parin, Rano, Sadiya Ali

    ISSN: 0378-4754
    Published: Elsevier B.V 01.11.2022
    Published in Mathematics and computers in simulation (01.11.2022)
    “…In this paper, we present a new hybrid spectral-conjugate gradient (SCG) algorithm for finding approximate solutions to nonlinear monotone operator equations…”
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  19. 19

    Three-Term Hager–Zhang Projection Method for Monotone Nonlinear Equations by Halilu, Abubakar Sani, Majumder, Arunava, Waziri, Mohammed Yusuf, Ahmed, Kabiru, Murtala, Salisu

    ISSN: 2305-221X, 2305-2228
    Published: Singapore Springer Nature Singapore 01.01.2025
    Published in Vietnam journal of mathematics (01.01.2025)
    “… ), by extending its direction to three-term conjugate gradient direction. The proposed method has been shown to be globally convergent under some mild conditions…”
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  20. 20

    Descent three-term DY-type conjugate gradient methods for constrained monotone equations with application by Abdullahi, Habibu, Awasthi, A. K., Waziri, Mohammed Yusuf, Halilu, Abubakar Sani

    ISSN: 2238-3603, 1807-0302
    Published: Cham Springer International Publishing 01.02.2022
    Published in Computational & applied mathematics (01.02.2022)
    “… In this article, we propose three different sufficient-descent conjugate gradient projection algorithms for constrained monotone equations. Using Dai–Yuan (DY…”
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