Inexact Newton regularization methods in Hilbert scales
arXiv:1009.386818 citationsh-index: 26
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Provides theoretical convergence guarantees for a class of regularization methods, relevant for solving ill-posed inverse problems.
The paper develops inexact Newton regularization methods for nonlinear inverse problems in Hilbert scales and proves order optimal convergence rates under certain conditions.
We consider a class of inexact Newton regularization methods for solving nonlinear inverse problems in Hilbert scales. Under certain conditions we obtain the order optimal convergence rate result.