Inexact Levenberg-Marquardt method for nonlinear equations

DOI10.3934/dcdsb.2004.4.1223zbMath1059.65043OpenAlexW1998773443MaRDI QIDQ1884265

Jianyu Pan, Jin Yan Fan

Publication date: 27 October 2004

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2004.4.1223

zbMATH Keywords

convergencefinite elementssystem of nonlinear equationsfinite differencesboundary elementsfinite volumessingular problemLevenberg-Marquardt methodinexact method

Mathematics Subject Classification ID

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

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The effect of calmness on the solution set of systems of nonlinear equations ⋮ A modified inexact Levenberg-Marquardt method with the descent property for solving nonlinear equations ⋮ Majorization-minimization-based Levenberg-Marquardt method for constrained nonlinear least squares ⋮ On the inexactness level of robust Levenberg–Marquardt methods ⋮ Convergence properties of inexact Levenberg-Marquardt method under Hölderian local error bound ⋮ Nonlinear integral equation methods for the reconstruction of an acoustically sound-soft obstacle ⋮ A unified local convergence analysis of inexact constrained Levenberg-Marquardt methods ⋮ Modified inexact Levenberg-Marquardt methods for solving nonlinear least squares problems ⋮ A Levenberg-Marquardt method with approximate projections

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