Dynamical Systems Method for Solving Nonlinear Operator Equations

Other | September 1, 2006

byRamm, Alexander G., Alexander G. Ramm

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The book is of interest to graduate students in functional analysis, numerical analysis, and ill-posed and inverse problems especially. The book presents a general method for solving operator equations, especially nonlinear and ill-posed. It requires a fairly modest background and is essentially self-contained. All the results are proved
in the book, and some of the background material is also included. The results presented are mostly obtained by the author.

- Contains a systematic development of a novel general method, the dynamical systems method, DSM for solving operator equations, especially nonlinear and ill-posed
- Self-contained, suitable for wide audience
- Can be used for various courses for graduate students and partly for undergraduates (especially for RUE classes)

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From the Publisher

The book is of interest to graduate students in functional analysis, numerical analysis, and ill-posed and inverse problems especially. The book presents a general method for solving operator equations, especially nonlinear and ill-posed. It requires a fairly modest background and is essentially self-contained. All the results are prov...

Format:OtherDimensions:304 pages, 1 × 1 × 1 inPublished:September 1, 2006Publisher:Elsevier ScienceLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0080465560

ISBN - 13:9780080465562

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Extra Content

Table of Contents

Preface
Contents
1. Introduction
2. Ill-posed problems
3. DSM for well-posed problems
4. DSM and linear ill-posed problems
5. Some inequalities
6. DSM for monotone operators
7. DSM for general nonlinear operator equations
8 DSM for operators satisfying a spectral assumption
9. DSM in Banach spaces
10. DSM and Newton-type methods without inversion of the derivative
11. DSM and unbounded operators
12. DSM and nonsmooth operators
13. DSM as a theoretical tool
14. DSM and iterative methods
15. Numerical problems arising in applications
16. Auxiliary results from analysis
Bibliographical notes
Bibliography
Index