Nonlinear implicit iterative method for solving nonlinear ill-posed problems

DOI10.1007/s10483-009-0913-1zbMath1191.65066OpenAlexW2085332683MaRDI QIDQ1047266

Chuan-Gang Kang, Guo-qiang He, Jian-Jun Liu

Publication date: 4 January 2010

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-0913-1

zbMATH Keywords

convergenceiterative methodTikhonov regularizationnonlinear ill-posed problems

Mathematics Subject Classification ID

Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (1)

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

Cites Work

• A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
• A convergence analysis of the iteratively regularized Gauss–Newton method under the Lipschitz condition
• Regularizing properties of a truncated newton-cg algorithm for nonlinear inverse problems
• Iterative Runge–Kutta-type methods for nonlinear ill-posed problems
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