Improved convergence results of an efficient Levenberg-Marquardt method for nonlinear equations

DOI10.1007/s12190-021-01599-6zbMath1499.65238OpenAlexW4200299282MaRDI QIDQ2103091

Meilan Zeng, Guanghui Zhou

Publication date: 13 December 2022

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-021-01599-6

zbMATH Keywords

nonlinear equationsLevenberg-Marquardt methodHölderian continuityHölderian local error bound

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)

Uses Software

• minpack

Cites Work

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• A new trust region method for nonlinear equations
• An adaptive multi-step Levenberg-Marquardt method
• On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption
• The effect of calmness on the solution set of systems of nonlinear equations
• Convergence properties of inexact Levenberg-Marquardt method under Hölderian local error bound
• Improved convergence results for a modified Levenberg–Marquardt method for nonlinear equations and applications in MPCC
• A modified trust region algorithm for nonlinear equations with new updating rule of trust region radius
• Tensor Methods for Nonlinear Equations
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Testing Unconstrained Optimization Software
• A derivative-free line search and global convergence of Broyden-like method for nonlinear equations
• An efficient Levenberg–Marquardt method with a new LM parameter for systems of nonlinear equations
• A Globally and Superlinearly Convergent Gauss--Newton-Based BFGS Method for Symmetric Nonlinear Equations
• A method for the solution of certain non-linear problems in least squares

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