On the convergence rate of the inexact Levenberg-Marquardt method

DOI10.3934/JIMO.2011.7.199zbMath1214.90112OpenAlexW2314752190MaRDI QIDQ542585

Jianyu Pan, Jin Yan Fan

Publication date: 10 June 2011

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2011.7.199

zbMATH Keywords

convergence ratenonlinear equationslocal error bound conditioninexact Levenberg-Marquardt method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Nonlinear ordinary differential equations and systems (34A34)

Related Items (7)

Global complexity bound of the inexact Levenberg-Marquardt method ⋮ A modified inexact Levenberg-Marquardt method with the descent property for solving nonlinear equations ⋮ Majorization-minimization-based Levenberg-Marquardt method for constrained nonlinear least squares ⋮ A higher-order Levenberg-Marquardt method for nonlinear equations ⋮ Convergence properties of inexact Levenberg-Marquardt method under Hölderian local error bound ⋮ Modified inexact Levenberg-Marquardt methods for solving nonlinear least squares problems ⋮ A Levenberg-Marquardt method with approximate projections

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