Iterative Regularization Methods for Nonlinear Ill-Posed Problems

Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer (Autoren)

Buch | Hardcover

VIII, 194 Seiten

2008
De Gruyter (Verlag)
978-3-11-020420-9 (ISBN)

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Nonlinear inverse problems result from 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.

From the contents:

Nonlinear Landweber iteration
Modified Landweber methods
Newton type methods
Multilevel methods
Level set methods
Applications

Barbara Kaltenbacher, Universität Stuttgart; Andreas Neubauer, Johannes-Kepler-Universität Linz, Österreich; Otmar Scherzer, Universität Linz, Österreich.

Barbara Kaltenbacher, University Stuttgart; Andreas Neubauer, Johannes-Kepler-University Linz, Austria; Otmar Scherzer, University Linz, Austria.

"This well written monograph may become a standard reference on regularization theory for nonlinear inverse problems."
Thorsten Hohage in: Mathematical Reviews 2010c

Erscheint lt. Verlag	20.5.2008
Reihe/Serie	Radon Series on Computational and Applied Mathematics ; 6
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	480 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathem • HC/Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik • Inverse Probleme • Inverses Problem • Iteration • Iterationsverfahren • Iterative Regularization • Nichtlineare Gleichung • Nonlinear Ill-Posed Problems • Nonlinear Ill-Posed Problems; Nonlinear Inverse Problems; Iterative Regularization • nonlinear inverse problems
ISBN-10	3-11-020420-7 / 3110204207
ISBN-13	978-3-11-020420-9 / 9783110204209
Zustand	Neuware