Accelerating the modified Levenberg-Marquardt method for nonlinear equations

DOI10.1090/S0025-5718-2013-02752-4zbMath1296.65077MaRDI QIDQ5401696

Jin Yan Fan

Publication date: 12 March 2014

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

numerical examplesystem of nonlinear equationserror boundacceleration of convergenceLevenberg-Marquardt methodlocal error bound

Mathematics Subject Classification ID

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

Related Items (19)

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Uses Software

• KELLEY
• minpack

Cites Work

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• Recent advances in numerical methods for nonlinear equations and nonlinear least squares
• A Levenberg-Marquardt algorithm for unconstrained multicriteria optimization
• Local behavior of an iterative framework for generalized equations with nonisolated solutions
• 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
• Optimization theory and methods. Nonlinear programming
• Convergence properties of a self-adaptive Levenberg-Marquardt algorithm under local error bound condition
• The modified Levenberg-Marquardt method for nonlinear equations with cubic convergence
• On the inexactness level of robust Levenberg–Marquardt methods
• Tensor Methods for Nonlinear Equations
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Testing Unconstrained Optimization Software
• A method for the solution of certain non-linear problems in least squares

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