A Shamanskii-like Levenberg-Marquardt method for nonlinear equations

DOI10.1007/s10589-013-9549-4zbMath1282.90176OpenAlexW2024746443MaRDI QIDQ360386

Jin Yan Fan

Publication date: 26 August 2013

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-013-9549-4

zbMATH Keywords

nonlinear equationsLevenberg-Marquardt methodlocal error bound condition

Mathematics Subject Classification ID

Nonlinear programming (90C30) Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Methods of quasi-Newton type (90C53)

Related Items

Global complexity bound of the inexact Levenberg-Marquardt method, A Shamanskii-like self-adaptive Levenberg-Marquardt method for nonlinear equations, Shamanskii-like Levenberg-Marquardt method with a new line search for systems of nonlinear equations, An adaptive multi-step Levenberg-Marquardt method, A new Levenberg-Marquardt type algorithm for solving nonsmooth constrained equations

Uses Software

• minpack

Cites Work

• 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
• The modified Levenberg-Marquardt method for nonlinear equations with cubic convergence
• Tensor Methods for Nonlinear Equations
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Testing Unconstrained Optimization Software
• Solving Nonlinear Equations with Newton's Method
• A method for the solution of certain non-linear problems in least squares
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