Sobol’, I. M. Multicriteria interpretation of the regularization method for ill-posed problems. (Russian) Zbl 0608.65035 Zh. Vychisl. Mat. Mat. Fiz. 26, No. 6, 805-812 (1986). 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 Cited in 1 ReviewCited in 1 Document MSC: 65J15 Numerical solutions to equations with nonlinear operators 47J25 Iterative procedures involving nonlinear operators Keywords:multicriteria interpretation; regularization method; ill-posed problems; regularized solutions Citations:Zbl 0499.65030 PDFBibTeX XMLCite \textit{I. M. Sobol'}, Zh. Vychisl. Mat. Mat. Fiz. 26, No. 6, 805--812 (1986; Zbl 0608.65035)