Article
MSC:
35R30,
47H15,
47J25,
65F15,
65J15,
65J20,
65M30 | MR 1241451 | Zbl 0797.65048 | DOI: 10.21136/AM.1993.104570
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Keywords:
nonlinear inverse problems; parameter choice strategy; nonlinear ill- posed problems; Hilbert spaces; Tikhonov regularization; convergence rate; numerical examples
nonlinear inverse problems; parameter choice strategy; nonlinear ill- posed problems; Hilbert spaces; Tikhonov regularization; convergence rate; numerical examples
Summary:
We give a derivation of an a-posteriori strategy for choosing the regularization parameter in Tikhonov regularization for solving nonlinear ill-posed problems, which leads to optimal convergence rates. This strategy requires a special stability estimate for the regularized solutions. A new proof fot this stability estimate is given.
References:
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