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Logarithmic convergence rate of Levenberg–Marquardt method with application to an inverse potential problem

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Published/Copyright: August 5, 2011
Journal of Inverse and Ill-posed Problems
From the journal Volume 19 Issue 3

Abstract

We prove logarithmic convergence rate of the Levenberg–Marquardt method in a Hilbert space if a logarithmic source condition is satisfied. This method is applied to an inverse potential problem. Numerical implementations demonstrate the convergence rate.

Received: 2010-03-06
Published Online: 2011-08-05
Published in Print: 2011-August

© de Gruyter 2011

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