Iterative Regularization Methods for Nonlinear Ill-Posed Problems

ISBN-13: 9783110204209 / Angielski / Twarda / 2008 / 202 str.

Barbara Kaltenbacher;Andreas Neubauer;Otmar Scherzer

Opis

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. "

Recenzje

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

O autorze

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