Some research on Levenberg-Marquardt method for the nonlinear equations

DOI10.1016/j.amc.2006.07.004zbMath1114.65054OpenAlexW2000221897MaRDI QIDQ879586

Lihua Jiang, Chang-Feng Ma

Publication date: 14 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.004

zbMATH Keywords

convergencenumerical experimentscomparisonssystem of singular nonlinear equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (13)

A corrected Levenberg-Marquardt algorithm with a nonmonotone line search for the system of nonlinear equations ⋮ Iterative weighted estimation based on variance modelling in linear regression models ⋮ Contribution of heterogeneous strain field measurements and boundary conditions modelling in inverse identification of material parameters ⋮ A modified Levenberg-Marquardt method for solving system of nonlinear equations ⋮ A Shamanskii-like self-adaptive Levenberg-Marquardt method for nonlinear equations ⋮ Nonmonotone Self-adaptive Levenberg–Marquardt Approach for Solving Systems of Nonlinear Equations ⋮ Convergence analysis of nonmonotone Levenberg-Marquardt algorithms for complementarity problem ⋮ A smoothing self-adaptive Levenberg-Marquardt algorithm for solving system of nonlinear inequalities ⋮ A new smoothing Broyden-like method for solving the mixed complementarity problem with a \(P_{0}\)-function ⋮ A note on the Levenberg-Marquardt parameter ⋮ Local convergence of the Levenberg-Marquardt method under Hölder metric subregularity ⋮ The convergence of a smoothing damped Gauss-Newton method for nonlinear complementarity problem ⋮ Reconstruction analysis of honeybee colony collapse disorder modeling

Uses Software

• STRSCNE
• minpack

Cites Work

• An affine scaling trust-region approach to bound-constrained nonlinear systems
• An Iterative Method for Finding Stationary Values of a Function of Several Variables
• Testing Unconstrained Optimization Software
• Convergence Properties of the Inexact Levenberg-Marquardt Method under Local Error Bound Conditions
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