A new heuristic parameter choice rule in Tikhonov regularization applied for Ritz approximation of an ill-posed problem

DOI10.4064/am2445-10-2021zbMath1480.65138OpenAlexW3216139256MaRDI QIDQ5031040

Teresa Regińska

Publication date: 18 February 2022

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am2445-10-2021

zbMATH Keywords

Tikhonov regularizationill-posed problemsheuristic discrepancy principlenoise-level-free parameter choice rulesregularized Ritz approximation

Mathematics Subject Classification ID

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Numerical solution to inverse problems in abstract spaces (65J22)

Uses Software

• cosereg

Cites Work

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• The quasi-optimality criterion in the linear functional strategy
• A General Heuristic for Choosing the Regularization Parameter in Ill-Posed Problems
• DISCREPANCY SETS FOR COMBINED LEAST SQUARES PROJECTION AND TIKHONOV REGULARIZATION
• The approximate solution of Fredholm integral equations of the first kind
• Use of the regularization method in non-linear problems

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