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Performance of a New Hybrid Conjugate Gradient Method

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Innovative Technologies for Enhancing Experiences and Engagement

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Abstract

Currently, many modifications have been made to the conjugate gradient (CG) method. One approach is to hybridize the method. The CG method proposed in this paper is in the form of hybrids, and the performance was evaluated under two different line searches: exact and inexact. HSMR, a proposed hybrid CG, is formed after combining two CG methods, which are the RMIL and SMR methods. Twenty-one different test functions were used to compare the two functions under different dimensions. A comparison is made by counting the difference in iterations numbers and the total amount of CPU time for both line searches. Comparison results showed that the hybrid CGs under exact line search outperformed the inexact line searches as to the core process’s CPU time and overall iteration count.

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Acknowledgements

This project is funded by UTM Fundamental Research (PY/2022/02418).

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Authors and Affiliations

  1. Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai, Malaysia

    Nur Syarafina Mohamed & Nur Syarafina Mohamed

  2. Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Cawangan Terengganu, Kampus Kuala Terengganu, Terengganu, Malaysia

    Mohd Rivaie & Norhaslinda Zullpakkal

  3. Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, Tanjung Malim, Malaysia

    Shazlyn Milleana Shaharuddin

Authors
  1. Nur Syarafina Mohamed
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  2. Mohd Rivaie
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  3. Norhaslinda Zullpakkal
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  4. Shazlyn Milleana Shaharuddin
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Corresponding author

Correspondence to Nur Syarafina Mohamed .

Editor information

Editors and Affiliations

  1. Dept. of Marine Engineering Technology, University of Kuala Lumpur, Kuala Lumpur, Malaysia

    Azman Ismail

  2. Computing, Informatics & Mathematics, Universiti Teknologi MARA, College of, Machang, Malaysia

    Fatin Nur Zulkipli

  3. Malaysian Institute of Industrial Techn, Universiti Kuala Lumpur, Masai, Johor, Malaysia

    Rahimah Mahat

  4. Malaysian Inst. of Industrial Technology, University of Kuala Lumpur, Masai, Johor, Malaysia

    Mohd Amran Mohd Daril

  5. Faculty of Mechanical Engineering, Esslingen University of Applied Sciences, Esslingen am Neckar, Baden-Württemberg, Germany

    Andreas Öchsner

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Mohamed, N.S., Rivaie, M., Zullpakkal, N., Shaharuddin, S.M. (2024). Performance of a New Hybrid Conjugate Gradient Method. In: Ismail, A., Zulkipli, F.N., Mahat, R., Mohd Daril, M.A., Öchsner, A. (eds) Innovative Technologies for Enhancing Experiences and Engagement. SpringerBriefs in Applied Sciences and Technology. Springer, Cham. https://doi.org/10.1007/978-3-031-55558-9_5

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