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Añadir al carritoTaschenbuch. Condición: Neu. Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization | New Results in Modern Theory of Inverse Problems and an Application in Laser Optics | Jens Flemming | Taschenbuch | Frontiers in Mathematics | xi | Englisch | 2018 | Birkhäuser | EAN 9783319952635 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Añadir al carritoTaschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - The book collects and contributes new results on the theory and practice of ill-posed inverseproblems.Different notions of ill-posedness in Banach spaces for linear and nonlinear inverse problems arediscussed not only in standard settings but also in situations up to now not covered by the literature.Especially, ill-posedness of linear operators with uncomplemented null spaces is examined.Tools for convergence rate analysis of regularization methods are extended to a wider field ofapplicability. It is shown that the tool known as variational source condition always yieldsconvergence rate results.A theory for nonlinear inverse problems with quadratic structure is developed as well ascorresponding regularization methods. The new methods are applied to a difficult inverse problemfrom laser optics.Sparsity promoting regularization is examined in detail from a Banach space point of view. Extensiveconvergence analysis reveals new insights into the behavior of Tikhonov-type regularization withsparsity enforcing penalty.
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Idioma: Inglés
Publicado por Springer International Publishing Sep 2018, 2018
ISBN 10: 3319952633 ISBN 13: 9783319952635
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Añadir al carritoTaschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book collects and contributes new results on the theory and practice of ill-posed inverseproblems.Different notions of ill-posedness in Banach spaces for linear and nonlinear inverse problems arediscussed not only in standard settings but also in situations up to now not covered by the literature.Especially, ill-posedness of linear operators with uncomplemented null spaces is examined.Tools for convergence rate analysis of regularization methods are extended to a wider field ofapplicability. It is shown that the tool known as variational source condition always yieldsconvergence rate results.A theory for nonlinear inverse problems with quadratic structure is developed as well ascorresponding regularization methods. The new methods are applied to a difficult inverse problemfrom laser optics.Sparsity promoting regularization is examined in detail from a Banach space point of view. Extensiveconvergence analysis reveals new insights into the behavior of Tikhonov-type regularization withsparsity enforcing penalty. 196 pp. Englisch.
Idioma: Inglés
Publicado por Palgrave Macmillan, Birkhäuser Sep 2018, 2018
ISBN 10: 3319952633 ISBN 13: 9783319952635
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Añadir al carritoTaschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The book collects and contributes new results on the theory and practice of ill-posed inverse problems.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 196 pp. Englisch.