Convergence properties of a family of inexact Levenberg-Marquardt methods

Convergence properties of a family of inexact Levenberg-Marquardt methods

We present a family of inexact Levenberg-Marquardt (LM) methods for the nonlinear equations which takes more general LM parameters and perturbation vectors. We derive an explicit formula of the convergence order of these inexact LM methods under the H$ \mathrm{\ddot{o}} $derian local error bound con...

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Bibliographic Details
Main Authors: Luyao Zhao, Jingyong Tang
Format: Article
Language:English
Published: AIMS Press 2023-06-01
Series:AIMS Mathematics
Subjects:
nonlinear equations
inexact levenberg-marquardt method
global convergence
convergence rate
h$ \mathrm{\ddot{o}} $derian local error bound
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023950?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023950?viewType=HTML

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