A fast nonstationary iterative method with convex penalty for inverse problems in Hilbert spaces

DOI10.1088/0266-5611/30/4/045012zbMath1297.65059arXiv1402.6544OpenAlexW3099328559MaRDI QIDQ5418616

Xiliang Lu, Qi-nian Jin

Publication date: 26 May 2014

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6544

zbMATH Keywords

nonlinear operator equationlinear operator equationimage debluringnonstationary iterative methodconvex penaltyde-autoconvolution probleminverse problems in Hilbert spaces

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with linear operators (65J10) Numerical solutions to equations with nonlinear operators (65J15) 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) Numerical solution of inverse problems involving ordinary differential equations (65L09)

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