An iteratively regularized Gauss-Newton-Halley method for solving nonlinear ill-posed problems

DOI10.1007/s00211-014-0682-5zbMath1327.65102OpenAlexW1984665680MaRDI QIDQ495526

Barbara Kaltenbacher

Publication date: 14 September 2015

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-014-0682-5

zbMATH Keywords

convergencenumerical examplesHilbert spacenonlinear ill-posed problemsiterative regularization methodGauss-Newton iterative methodHalley-type methodidentification problems in PDEs

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) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (2)

REGINN-IT method with general convex penalty terms for nonlinear inverse problems ⋮ On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements

Cites Work

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• Factors influencing the ill-posedness of nonlinear problems
• On convergence rates for the iteratively regularized Gauss-newton method
• A convergence rates result for an iteratively regularized Gauss–Newton–Halley method in Banach space
• How general are general source conditions?

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