An accelerated inexact Newton-type regularizing algorithm for ill-posed operator equations

We propose and analyze a new iterative regularization approach, called IN-SETPG, for efficiently solving nonlinear ill-posed operator equations in the Hilbert-space setting. IN-SETPG consists of an outer iteration and an inner iteration. The outer iteration is terminated by the discrepancy principle...

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Bibliographic Details

Published in:	Journal of computational and applied mathematics Vol. 451; p. 116052
Main Authors:	Long, Haie, Zhang, Ye, Gao, Guangyu
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.12.2024
Subjects:	Inexact Newton regularization Iterative regularization Nonlinear inverse problems Sequential subspace optimization Two-point gradient method Nonlinear inverse problems Inexact Newton regularization Two-point gradient method Iterative regularization Sequential subspace optimization
ISSN:	0377-0427
Online Access:	Get full text
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