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 non-linear 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. It contains a systematic development of a novel general method, the dynamical systems method, DSM for solving operator equations, especially non-linear and ill-posed. It is suitable for wide audience and can be used for various courses for graduate students and partly for undergraduates (especially for RUE classes).
- Limba : Engleza
- Cuprins : 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
- Data Publicarii : 25 Sep 2006
- Format : Hardback
- Numar pagini : 304
- ISBN : 9780444527950