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Multicriteria interpretation of the regularization method for ill-posed problems. (Russian) Zbl 0608.65035

The author considers the regularization method for ill-posed problems presented by A. N. Tikhonov and V. Ya. Arsenin [Methods for ill-posed problems (1979; Zbl 0499.65030)]. The author proves that the set of effective points for a two-criteria problem contains all regularized solutions under the assumption that the regulated function of the regularization method is the second independent criterion.
Reviewer: K.Najzar

MSC:

65J15 Numerical solutions to equations with nonlinear operators
47J25 Iterative procedures involving nonlinear operators

Citations:

Zbl 0499.65030
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