The Levenberg-Marquardt iteration converges locally with explicit rates for nonlinear inverse problems with Hölder stability, and the rates yield global reconstruction algorithms for finite-measurement problems.
de Hoop, Romina Gaburro, and Eva Sincich
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Convergence Analysis of Levenberg-Marquardt Method for Inverse Problem with H\"{o}lder Stability Estimate
The Levenberg-Marquardt iteration converges locally with explicit rates for nonlinear inverse problems with Hölder stability, and the rates yield global reconstruction algorithms for finite-measurement problems.