A New Modified Efficient Levenberg–Marquardt Method for Solving Systems of Nonlinear Equations

Zhenxiang Wu, Tong Zhou, Lei Li, Liang Chen and Yanfang Ma

Mathematical Problems in Engineering, 2021, vol. 2021, 1-11

Abstract:

For systems of nonlinear equations, a modified efficient Levenberg–Marquardt method with new LM parameters was developed by Amini et al. (2018). The convergence of the method was proved under the local error bound condition. In order to enhance this method, using nonmonotone technique, we propose a new Levenberg–Marquardt parameter in this paper. The convergence of the new Levenberg–Marquardt method is shown to be at least superlinear, and numerical experiments show that the new Levenberg–Marquardt algorithm can solve systems of nonlinear equations effectively.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5608195

DOI: 10.1155/2021/5608195

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