The use of Morozov's discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems

Abstract

In this paper we investigate Morozov's Discrepancy Principle for choosing the regularization parameter in Tikhonov regularization for solving nonlinear ill-posed problems. Convergence rates and a saturation property of the regularized solutions, where the regularization parameter is chosen by the discrepancy principle, are investigated. Numerical results are presented to verify the theoretical results.