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The use of Morozov’s discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems. (English) Zbl 0801.65053
Summary: 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.

MSC:
65J15 Numerical solutions to equations with nonlinear operators
65J20 Numerical solutions of ill-posed problems in abstract spaces; regularization
47J25 Iterative procedures involving nonlinear operators
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