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On a regularized Levenberg-Marquardt method for solving nonlinear inverse problems

Jin, Qinian

Description

We consider a regularized Levenberg-Marquardt method for solving nonlinear ill-posed inverse problems. We use the discrepancy principle to terminate the iteration. Under certain conditions, we prove the convergence of the method and obtain the order optimal convergence rates when the exact solution satisfies suitable source-wise representations.

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
URI: http://hdl.handle.net/1885/28358
Source: Numerische Mathematik
DOI: 10.1007/s00211-009-0275-x

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