What do we learn from the discrepancy principle?

DOI10.4171/ZAA/1298zbMath1120.65071OpenAlexW2054712927MaRDI QIDQ873747

Peter Mathé

Publication date: 20 March 2007

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1298

zbMATH Keywords

regularizationHilbert spaceslinear operator equationserror estimationssaturationsource condition

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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Cites Work

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• Morozov's discrepancy principle under general source conditions
• A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
• Geometry of linear ill-posed problems in variable Hilbert scales
• Discretization strategy for linear ill-posed problems in variable Hilbert scales
• Saturation of Regularization Methods for Linear Ill-Posed Problems in Hilbert Spaces