Iterative regularization methods for nonlinear ill-posed problems

Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which a...

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Detalles Bibliográficos
Autores principales: Scherzer, Otmar, Neubauer, Andreas, Kaltenbacher, Barbara
Lenguaje:eng
Publicado: De Gruyter 2008
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1992215
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author Scherzer, Otmar
Neubauer, Andreas
Kaltenbacher, Barbara
author_facet Scherzer, Otmar
Neubauer, Andreas
Kaltenbacher, Barbara
author_sort Scherzer, Otmar
collection CERN
description Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods, e.g., nonlinear Landweber iteration, level set methods, multilevel methods and Newton type methods.
id cern-1992215
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2008
publisher De Gruyter
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spelling cern-19922152021-04-21T20:27:36Zhttp://cds.cern.ch/record/1992215engScherzer, OtmarNeubauer, AndreasKaltenbacher, BarbaraIterative regularization methods for nonlinear ill-posed problemsMathematical Physics and MathematicsNonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods, e.g., nonlinear Landweber iteration, level set methods, multilevel methods and Newton type methods.De Gruyteroai:cds.cern.ch:19922152008
spellingShingle Mathematical Physics and Mathematics
Scherzer, Otmar
Neubauer, Andreas
Kaltenbacher, Barbara
Iterative regularization methods for nonlinear ill-posed problems
title Iterative regularization methods for nonlinear ill-posed problems
title_full Iterative regularization methods for nonlinear ill-posed problems
title_fullStr Iterative regularization methods for nonlinear ill-posed problems
title_full_unstemmed Iterative regularization methods for nonlinear ill-posed problems
title_short Iterative regularization methods for nonlinear ill-posed problems
title_sort iterative regularization methods for nonlinear ill-posed problems
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1992215
work_keys_str_mv AT scherzerotmar iterativeregularizationmethodsfornonlinearillposedproblems
AT neubauerandreas iterativeregularizationmethodsfornonlinearillposedproblems
AT kaltenbacherbarbara iterativeregularizationmethodsfornonlinearillposedproblems

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