Unsaturable methods for solving severely ill-posed problems

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DOI10.1504/IJCSM.2009.027875zbMath1187.65057MaRDI QIDQ1037268

Ganna Mosentsova, Sergei G. Solodky

Publication date: 13 November 2009

Published in: International Journal of Computing Science and Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examples Hilbert spaces Tikhonov regularization discrepancy principle linear ill-posed problems severely ill-posed order optimal convergence rates noisy operator compact linear operator mapping finite-dimensional discretization stable approximate 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)

Related Items (2)

On the a posteriori choice of a regularization parameter in the solution of severely ill-posed problems ⋮ ABOUT REGULARIZATION OF SEVERELY ILL-POSED PROBLEMS BY STANDARD TIKHONOV'S METHOD WITH THE BALANCING PRINCIPLE

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