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An Adaptive Nonmonotone Line Search Technique for Solving Systems of Nonlinear Equations

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  • Masoud Hatamian
  • Mahmoud Paripour
  • Farajollah Mohammadi Yaghoobi
  • Nasrin Karamikabir
  • Mehdi Ghatee

Abstract

In this article, a new nonmonotone line search technique is proposed for solving a system of nonlinear equations. We attempt to answer this question how to control the degree of the nonmonotonicity of line search rules in order to reach a more efficient algorithm? Therefore, we present a novel algorithm that can avoid the increase of unsuccessful iterations. For this purpose, we show the robust behavior of the proposed algorithm by solving a few numerical examples. Under some suitable assumptions, the global convergence of our strategy is proved.

Suggested Citation

  • Masoud Hatamian & Mahmoud Paripour & Farajollah Mohammadi Yaghoobi & Nasrin Karamikabir & Mehdi Ghatee, 2021. "An Adaptive Nonmonotone Line Search Technique for Solving Systems of Nonlinear Equations," Journal of Mathematics, Hindawi, vol. 2021, pages 1-6, August.
    • Handle: RePEc:hin:jjmath:7134561
    DOI: 10.1155/2021/7134561
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