Some convergence results of a modified asymptotical regularization gradient method for nonlinear ill-posed operator equation

DOI10.1080/00207160902836231zbMath1208.65076OpenAlexW2019933183MaRDI QIDQ3056416

A. J. Bu, Yehui Peng, Heying Feng

Publication date: 12 November 2010

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

Full work available at URL: https://doi.org/10.1080/00207160902836231

zbMATH Keywords

convergenceFréchet differentiableHilbert spacesgradient methodill-posed problemsnonlinear operator equationsasymptotical regularization

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) 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 (1)

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Cites Work

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• 1D inverse problem in diffusion based optical tomography using iteratively regularized Gauss--Newton algorithm
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• On the asymptotical regularization of nonlinear ill-posed problems
• ON APPLICATION OF GENERALIZED DISCREPANCY PRINCIPLE TO ITERATIVE METHODS FOR NONLINEAR ILL-POSED PROBLEMS

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