Newton-type iteration for Tikhonov regularization of nonlinear ill-posed problems

DOI10.1155/2013/439316zbMath1271.65093OpenAlexW2066798460WikidataQ59015433 ScholiaQ59015433MaRDI QIDQ355707

Santhosh George

Publication date: 25 July 2013

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/439316

zbMATH Keywords

convergencenumerical exampleregularizationHilbert spaceserror estimatenonlinear integral equationGauss-Newton methodnonlinear ill-posed operator equation

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) 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 (2)

A simplified iteratively regularized projection method for nonlinear ill-posed problems ⋮ Expanding the applicability of a modified Gauss-Newton method for solving nonlinear ill-posed problems

Cites Work

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• ON APPLICATION OF GENERALIZED DISCREPANCY PRINCIPLE TO ITERATIVE METHODS FOR NONLINEAR ILL-POSED PROBLEMS
• Convergence analysis of an inexact iteratively regularized Gauss-Newton method under general source conditions
• A note on logarithmic convergence rates for nonlinear Tikhonov regularization
• On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems

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