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On Inexact Newton Methods for Inverse Problems in Banach Spaces

Margotti, Fabio J.

Abstract:
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.

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Volltext §
DOI: 10.5445/IR/1000048606
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Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Publikationstyp Hochschulschrift
Jahr 2015
Sprache Englisch
Identifikator urn:nbn:de:swb:90-486067
KITopen-ID: 1000048606
Verlag KIT, 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
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
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