Optimal order yielding discrepancy principle for simplified regularization in Hilbert scales: finite-dimensional realizations

DOI10.1155/S0161171204306095zbMath1071.65076OpenAlexW2101874147MaRDI QIDQ1777663

Santhosh George, M. Thamban Nair

Publication date: 25 May 2005

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51659

zbMATH Keywords

error estimatesregularizationHilbert spacesill-posed problemsspline approximationsSobolev scalesstable approximation solution

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

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Newton Lavrentiev regularization for ill-posed operator equations in Hilbert scales

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