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A Derivative-Free Liu–Storey Method for Solving Large-Scale Nonlinear Systems of Equations

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  • Zhenhua Su
  • Min Li

Abstract

In this paper, a descent Liu–Storey conjugate gradient method is extended to solve large-scale nonlinear systems of equations. Based on certain assumptions, the global convergence property is obtained with a nonmonotone line search. The proposed method is suitable to solve large-scale problems for the low-storage requirement. Numerical experiment results show that the new method is practically effective.

Suggested Citation

  • Zhenhua Su & Min Li, 2020. "A Derivative-Free Liu–Storey Method for Solving Large-Scale Nonlinear Systems of Equations," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-10, October.
    • Handle: RePEc:hin:jnlmpe:6854501
    DOI: 10.1155/2020/6854501
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    Cited by:

    1. Ahmad M. Alshamrani & Adel Fahad Alrasheedi & Khalid Abdulaziz Alnowibet & Salem Mahdi & Ali Wagdy Mohamed, 2022. "A Hybrid Stochastic Deterministic Algorithm for Solving Unconstrained Optimization Problems," Mathematics, MDPI, vol. 10(17), pages 1-26, August.
    2. Khalid Abdulaziz Alnowibet & Salem Mahdi & Ahmad M. Alshamrani & Karam M. Sallam & Ali Wagdy Mohamed, 2022. "A Family of Hybrid Stochastic Conjugate Gradient Algorithms for Local and Global Minimization Problems," Mathematics, MDPI, vol. 10(19), pages 1-37, October.

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