@article{BoeckmannKammaneeBraunss2011, author = {B{\"o}ckmann, Christine and Kammanee, Athassawat and Braunss, Andreas}, title = {Logarithmic convergence rate of Levenberg-Marquardt method with application to an inverse potential problem}, series = {Journal of inverse and ill-posed problems}, volume = {19}, journal = {Journal of inverse and ill-posed problems}, number = {3}, publisher = {De Gruyter}, address = {Berlin}, issn = {0928-0219}, doi = {10.1515/JIIP.2011.034}, pages = {345 -- 367}, year = {2011}, 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.}, language = {en} }