Expanding the applicability of Tikhonov's regularization and iterative approximation for ill-posed problems

DOI10.1515/jip-2013-0025zbMath1297.65064OpenAlexW2316637202MaRDI QIDQ2877851

Santhosh George, Vladmir Vasin

Publication date: 26 August 2014

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jip-2013-0025

zbMATH Keywords

convergencenumerical exampleHilbert spaceerror boundnonlinear integral equationregularization parameterbalancing principlenonlinear ill-posed operator equationNewton-Tikhonov methodtwo step Newton method

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)

Related Items (3)

Modified minimal error method for nonlinear ill-posed problems ⋮ Solving nonlinear inverse problems based on the regularized modified Gauss-Newton method ⋮ Modified steepest descent method for nonlinear irregular operator equations

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