Convergence results of a modified regularized gradient method for nonlinear ill-posed problems

DOI10.1007/s12190-009-0318-6zbMath1208.65077OpenAlexW2026173102MaRDI QIDQ711520

Yehui Peng, Heying Feng, Zhen-Hai Liu

Publication date: 26 October 2010

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

Full work available at URL: https://doi.org/10.1007/s12190-009-0318-6

zbMATH Keywords

regularizationiterative methodHilbert spacesgradient methodsnonlinear operator equationnonlinear ill-posed problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

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• ON APPLICATION OF GENERALIZED DISCREPANCY PRINCIPLE TO ITERATIVE METHODS FOR NONLINEAR ILL-POSED PROBLEMS
• Inverse problem in optical tomography and its numerical investigation by iteratively regularized methods

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