Adaptive scheme of discretization for one semi-iterative method in solving ill-posed problems

DOI10.1007/s10958-011-0357-zzbMath1281.65082OpenAlexW1977364149MaRDI QIDQ393318

Sergey G. Solodky, Evgeniy A. Volynets

Publication date: 17 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0357-z

zbMATH Keywords

algorithmHilbert spacediscrepancy principlelinear operator equation of the first kindlinear ill-posed problemsemi-iterative methods

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)

Cites Work

• Economic discretization scheme for the nonstationary iterated Tikhonov method
• On the regularization of projection methods for solving ill-posed problems
• Accelerated Landweber iterations for the solution of ill-posed equations
• An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection
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