Mixed Tikhonov regularization in Banach spaces based on domain decomposition

DOI10.1016/j.amc.2012.05.042zbMath1281.65085OpenAlexW2022846470MaRDI QIDQ387696

Ivan Cimrák, Valdemar Melicher

Publication date: 23 December 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.05.042

zbMATH Keywords

total variationBanach spacesinverse problemdomain decompositionbounded variationTikhonov regularizationdeconvolutionimage denoisingcontinuous nonlinear forward operatorsdenoising algorithm

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (2)

Inverse problem for a class of nonlinear elliptic equations with entropy solution ⋮ Regularization with metric double integrals of functions with values in a set of vectors

Cites Work

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• A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
• Shorter Notes: A Measure-Theoretic Proof of a Theorem on Reflexivity

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