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URN: urn:nbn:de:swb:90-486067

On Inexact Newton Methods for Inverse Problems in Banach Spaces

Margotti, Fabio J.

This self-contained monograph investigates an inexact-Newton algorithm and its adaptation to the Kaczmarz methods for solving nonlinear ill-posed problems in Banach spaces. This Newton-like method linearizes the original problem and then applies a regularization technique to stably solve the resulting linear systems. A complete convergence analysis is carried out and its performance is tested in the Electrical Impedance Tomography to provide the necessary support to the theoretical results.

Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Publikationstyp Hochschulschrift
Jahr 2015
Sprache Englisch
Identifikator KITopen-ID: 1000048606
Verlag Karlsruhe
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Angewandte und Numerische Mathematik (IANM)
Prüfungsdaten 15.07.2015
Referent/Betreuer Prof. A. Rieder
Schlagworte Ill-Posed Problems, Banach Spaces, Inexact-Newton Methods, Electrical Impedance Tomography, Regularization Theory
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