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| DYNAMICAL SYSTEMS METHOD FOR SOLVING NONLINEAR OPERATOR EQUATIONS, 208
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By
Alexander Ramm, Kansas State University, Manhattan, KS, USA
Included in series
Mathematics in Science and Engineering, 208
Description
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.
Audience
Mathematicians, numerical analysists, specialists in scientific computing, engineers and others interested in solving operator equations, ill-posed and inverse problems.
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
| Bibliographic details |
Hardbound, 304 pages, publication date: SEP-2006
ISBN-13: 978-0-444-52795-0
ISBN-10: 0-444-52795-8
Imprint: ELSEVIER
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| Price and Ordering |
Price:
GBP 104
USD 160
EUR 122.95
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Last update: 5 Sep 2009
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