Mixed gradient-Tikhonov methods for solving nonlinear ill-posed problems in Banach spaces

DOI10.1088/0266-5611/32/12/125012zbMath1359.65088OpenAlexW2549994829MaRDI QIDQ2957545

Fábio Margotti

Publication date: 26 January 2017

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

Full work available at URL: https://doi.org/10.1088/0266-5611/32/12/125012

zbMATH Keywords

stabilityconvergencenumerical resultsBanach spacenonlinear ill-posed problemTikhonov regularizationdiscrepancy principleelectrical impedance tomographygradient descentsparsity constraintregularization in Banach spaces

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 (7)

Inexact Newton regularization combined with gradient methods in Banach spaces ⋮ Error estimates for the iteratively regularized Newton-Landweber method in Banach spaces under approximate source conditions ⋮ Numerical approximation of the optimal control of a population dynamics model ⋮ Imaging of conductivity distribution based on a combined reconstruction method in brain electrical impedance tomography ⋮ Inverse problem for a class of nonlinear elliptic equations with entropy solution ⋮ Simplified iteratively regularized Gauss-Newton method in Banach spaces under a general source condition ⋮ Numerical Study of Inverse Source Problem for Internal Degenerate Parabolic Equation

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