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ON SOME ALGORITHMS FOR SOLVING ILL-POSED EXTREMAL PROBLEMS

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Publication:4721557
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DOI10.1070/SM1987v057n01ABEH003066zbMath0614.65075OpenAlexW2019146283MaRDI QIDQ4721557

Alexander S. Leonov

Publication date: 1987

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1987v057n01abeh003066


zbMATH Keywords

convergenceregularizationstabilizing functionalill-posed extremal problemsgeneralized smoothing functional principlegeneralized residual principlegeneralized quasisolution principlevariational regularizing algorithms


Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Numerical optimization and variational techniques (65K10) Optimality conditions for problems in abstract spaces (49K27)


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On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales ⋮ Accuracy-order optimality of the generalized discrepancy principle and some algorithms for solving nonlinear ill-posed problems with approximate data



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