On the inexactness level of robust Levenberg–Marquardt methods

DOI10.1080/02331930801951256zbMath1196.65097OpenAlexW2045538552MaRDI QIDQ3553767

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Publication date: 21 April 2010

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930801951256

zbMATH Keywords

regularizationquadratic convergencesystems of nonlinear equationsLevenberg-Marquardt methodnonisolated solutionrobust methodslevel of inexactness

Mathematics Subject Classification ID

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

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Uses Software

• levmar

Cites Work

• Levenberg--Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints
• Local behavior of an iterative framework for generalized equations with nonisolated solutions
• On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption
• Inexact Levenberg-Marquardt method for nonlinear equations
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Inexact Newton Methods
• Convergence Properties of the Inexact Levenberg-Marquardt Method under Local Error Bound Conditions