A convergence analysis of nonlinear implicit iterative method for nonlinear ill-posed problems

DOI10.1016/j.amc.2011.11.011zbMath1248.65056OpenAlexW2061942528MaRDI QIDQ426556

Zhitao Wu, Chuan-Gang Kang

Publication date: 11 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.011

zbMATH Keywords

stabilityconvergencenumerical examplesHilbert spacestwo-point boundary value problemnonlinear operator equationnonlinear ill-posed problemTikhonov regularizationdiscrepancy principleLandweber schemeHanke criterionnonlinear implicite iterative method

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) Numerical solution of ill-posed problems involving ordinary differential equations (65L08)

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