Regularization of Inverse Problems
Authors: Engl, Heinz Werner, Hanke, Martin, Neubauer, A.
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 About this book

In the last two decades, the field of inverse problems has certainly been one of the fastest growing areas in applied mathematics. This growth has largely been driven by the needs of applications both in other sciences and in industry. In Chapter 1, we will give a short overview over some classes of inverse problems of practical interest. Like everything in this book, this overview is far from being complete and quite subjective. As will be shown, inverse problems typically lead to mathematical models that are not wellposed in the sense of Hadamard, i.e., to illposed problems. This means especially that their solution is unstable under data perturbations. Numerical meth ods that can cope with this problem are the socalled regularization methods. This book is devoted to the mathematical theory of regularization methods. For linear problems, this theory can be considered to be relatively complete and will be de scribed in Chapters 2  8. For nonlinear problems, the theory is so far developed to a much lesser extent. We give an account of some of the currently available results, as far as they might be of lasting value, in Chapters 10 and 11. Although the main emphasis of the book is on a functional analytic treatment in the context of operator equations, we include, for linear problems, also some information on numerical aspects in Chapter 9.
 Reviews

`It is written in a very clear style, the material is well organized, and there is an extensive bibliography with 290 items. There is no doubt that this book belongs to the modern standard references on illposed and inverse problems. It can be recommended not only to mathematicians interested in this, but to students with a basic knowledge of functional analysis, and to scientists and engineers working in this field.'
Mathematical Reviews Clippings, 97k
`... it will be an extremely valuable tool for researchers in the field, who will find under the same cover and with unified notation material that is otherwise scattered in extremely diverse publications.'
SIAM Review, 41:2 (1999)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Regularization of Inverse Problems
 Authors

 Heinz Werner Engl
 Martin Hanke
 A. Neubauer
 Series Title
 Mathematics and Its Applications
 Series Volume
 375
 Copyright
 2000
 Publisher
 Springer Netherlands
 Copyright Holder
 Kluwer Academic Publishers
 Hardcover ISBN
 9780792341574
 Softcover ISBN
 9780792361404
 Edition Number
 1
 Number of Pages
 VIII, 322
 Topics