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International Journal of Computer Mathematics Volume 96, 2019 - Issue 8: A special collection of papers relating to computational linear algebra and nonlinear equation solvers
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The Hager–Zhang conjugate gradient algorithm for large-scale nonlinear equations

Gonglin YuanCollege of Mathematics and Information Science, Guangxi University, Nanning, People's Republic of ChinaView further author information
,
Bopeng WangCollege of Mathematics and Information Science, Guangxi University, Nanning, People's Republic of ChinaView further author information
&
Zhou ShengCollege of Mathematics and Information Science, Guangxi University, Nanning, People's Republic of ChinaCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0001-9295-5872View further author information
ORCID Icon
Pages 1533-1547 | Received 08 Sep 2016, Accepted 19 Jun 2017, Published online: 10 Jul 2018

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Read on this site (3)

Kabiru Ahmed, Mohammed Yusuf Waziri, Abubakar Sani Halilu & Salisu Murtala. (2023) Sparse signal reconstruction via Hager–Zhang-type schemes for constrained system of nonlinear equations. Optimization 0:0, pages 1-32.
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J. Sabi'u, A. Shah & M. Y. Waziri. (2022) A modified Hager-Zhang conjugate gradient method with optimal choices for solving monotone nonlinear equations. International Journal of Computer Mathematics 99:2, pages 332-354.
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P. Kaelo & M. Koorapetse. (2021) A globally convergent projection method for a system of nonlinear monotone equations. International Journal of Computer Mathematics 98:4, pages 719-737.
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Articles from other publishers (8)

Pengjie Liu, Hu Shao, Zihang Yuan, Xiaoyu Wu & Tianlei Zheng. (2023) 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. Numerical Algorithms.
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Jianghua Yin, Jinbao Jian, Xianzhen Jiang & Xiaodi Wu. (2023) A family of inertial-relaxed DFPM-based algorithms for solving large-scale monotone nonlinear equations with application to sparse signal restoration. Journal of Computational and Applied Mathematics 419, pages 114674.
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Hassan Mohammad & Aliyu Muhammed Awwal. (2022) Globally convergent diagonal Polak–Ribière–Polyak like algorithm for nonlinear equations. Numerical Algorithms 91:4, pages 1441-1460.
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Mohammed Yusuf Waziri, Kabiru Ahmed, Abubakar Sani Halilu & Jamilu Sabi’u. (2022) Two new Hager–Zhang iterative schemes with improved parameter choices for monotone nonlinear systems and their applications in compressed sensing. RAIRO - Operations Research 56:1, pages 239-273.
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Mohammed Yusuf Waziri & Kabiru Ahmed. (2021) Two Descent Dai-Yuan Conjugate Gradient Methods for Systems of Monotone Nonlinear Equations. Journal of Scientific Computing 90:1.
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P. Kaelo, M. Koorapetse & C. R. Sam. (2021) A Globally Convergent Derivative-Free Projection Method for Nonlinear Monotone Equations with Applications. Bulletin of the Malaysian Mathematical Sciences Society 44:6, pages 4335-4356.
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Jamilu Sabi’u, Abdullah Shah, Mohammed Yusuf Waziri & Kabiru Ahmed. (2020) Modified Hager–Zhang conjugate gradient methods via singular value analysis for solving monotone nonlinear equations with convex constraint. International Journal of Computational Methods 18:04, pages 2050043.
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M. Y. Waziri, K. Ahmed, J. Sabi’u & A. S. Halilu. (2020) Enhanced Dai–Liao conjugate gradient methods for systems of monotone nonlinear equations. SeMA Journal 78:1, pages 15-51.
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