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

Masoud Hatamian, Mahmoud Paripour, Farajollah Mohammadi Yaghoobi, Nasrin Karamikabir and Mehdi Ghatee

Journal of Mathematics, 2021, vol. 2021, 1-6

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7134561

DOI: 10.1155/2021/7134561

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