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Technical Note—A Modified Conjugate Gradient Algorithm

Author

Listed:
  • Avinoam Perry

    (Bell Laboratories, Holmdel, New Jersey)

Abstract

We present a modification of the Fletcher-Reeves conjugate gradient algorithm. Computational experience indicates that this modification yields an improved algorithm.

Suggested Citation

  • Avinoam Perry, 1978. "Technical Note—A Modified Conjugate Gradient Algorithm," Operations Research, INFORMS, vol. 26(6), pages 1073-1078, December.
    • Handle: RePEc:inm:oropre:v:26:y:1978:i:6:p:1073-1078
    DOI: 10.1287/opre.26.6.1073
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    Cited by:

    1. Dai, Zhifeng & Chen, Xiaohong & Wen, Fenghua, 2015. "A modified Perry’s conjugate gradient method-based derivative-free method for solving large-scale nonlinear monotone equations," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 378-386.
    2. Jinbao Jian & Lin Yang & Xianzhen Jiang & Pengjie Liu & Meixing Liu, 2020. "A Spectral Conjugate Gradient Method with Descent Property," Mathematics, MDPI, vol. 8(2), pages 1-13, February.
    3. Parvaneh Faramarzi & Keyvan Amini, 2019. "A Modified Spectral Conjugate Gradient Method with Global Convergence," Journal of Optimization Theory and Applications, Springer, vol. 182(2), pages 667-690, August.
    4. Bassim A. Hassan & Issam A. R. Moghrabi & Thaair A. Ameen & Ranen M. Sulaiman & Ibrahim Mohammed Sulaiman, 2024. "Image Noise Reduction and Solution of Unconstrained Minimization Problems via New Conjugate Gradient Methods," Mathematics, MDPI, vol. 12(17), pages 1-12, September.
    5. Nataj, Sarah & Lui, S.H., 2020. "Superlinear convergence of nonlinear conjugate gradient method and scaled memoryless BFGS method based on assumptions about the initial point," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    6. Yao, Shengwei & Lu, Xiwen & Ning, Liangshuo & Li, Feifei, 2015. "A class of one parameter conjugate gradient methods," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 708-722.
    7. Neculai Andrei, 2013. "Another Conjugate Gradient Algorithm with Guaranteed Descent and Conjugacy Conditions for Large-scale Unconstrained Optimization," Journal of Optimization Theory and Applications, Springer, vol. 159(1), pages 159-182, October.
    8. Kaori Sugiki & Yasushi Narushima & Hiroshi Yabe, 2012. "Globally Convergent Three-Term Conjugate Gradient Methods that Use Secant Conditions and Generate Descent Search Directions for Unconstrained Optimization," Journal of Optimization Theory and Applications, Springer, vol. 153(3), pages 733-757, June.
    9. Waziri, Mohammed Yusuf & Ahmed, Kabiru & Sabi’u, Jamilu, 2019. "A family of Hager–Zhang conjugate gradient methods for system of monotone nonlinear equations," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 645-660.
    10. Qing-Rui He & Chun-Rong Chen & Sheng-Jie Li, 2023. "Spectral conjugate gradient methods for vector optimization problems," Computational Optimization and Applications, Springer, vol. 86(2), pages 457-489, November.

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