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Application of functions of several variables with limited variations for piecewise uniform regularization of ill-posed problems

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Publication:4213581
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DOI10.1515/jiip.1998.6.1.67zbMath0914.65068OpenAlexW2009219868MaRDI QIDQ4213581

Alexander S. Leonov

Publication date: 7 June 1999

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.1998.6.1.67


zbMATH Keywords

convergenceill-posed problemleast squares problemsfunctions with limited variationsgeneralized quasisolutionpiecewise uniform regularization


Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)


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Integral identity for a class of ill-posed problems generated by a parabolic equation ⋮ Piecewise uniform regularization for the inverse problem of microtomography with a-posteriori error estimate



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