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A New Hybrid Conjugate Gradient Projection Method for Solving Nonlinear Monotone Equations

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  • Minglei Fang
  • Min Wang
  • Defeng Ding

Abstract

In this study, we propose a new modified hybrid conjugate gradient projection method with a new scale parameter φk for solving large‐scale nonlinear monotone equations. The proposed method includes two major features: projection techniques and sufficient descent property independent of line search technique. Global convergence of the proposed method is proved under some suitable assumptions. Finally, numerical results illustrating the robustness of the suggested strategy and its comparisons are shown.

Suggested Citation

  • Minglei Fang & Min Wang & Defeng Ding, 2022. "A New Hybrid Conjugate Gradient Projection Method for Solving Nonlinear Monotone Equations," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:5540504
    DOI: 10.1155/2022/5540504
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    References listed on IDEAS

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    1. Dai, Zhifeng & Zhu, Haoyang & Zhang, Xinhua, 2022. "Dynamic spillover effects and portfolio strategies between crude oil, gold and Chinese stock markets related to new energy vehicle," Energy Economics, Elsevier, vol. 109(C).
    2. Pengjie Liu & Jinbao Jian & Xianzhen Jiang, 2020. "A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear Equations," Complexity, Hindawi, vol. 2020, pages 1-14, July.
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