Some approximate Gauss–Newton-type methods for nonlinear ill-posed problems

DOI10.3176/PROC.2013.4.03zbMath1286.65069OpenAlexW2328724649MaRDI QIDQ2871314

Inga Kangro, Raul Kangro, Otu Vaarmann

Publication date: 22 January 2014

Published in: Proceedings of the Estonian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3176/proc.2013.4.03

zbMATH Keywords

convergencenumerical exampleserror estimationVolterra integral equationTikhonov functionalill-posed problemsleast squares method, iterative regularizationnonlinear operator equation in Hilbert spacestwo-parameter regularized Gauss-Newton-typ 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) Volterra integral equations (45D05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

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• minpack

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