Dynamical Systems Method for Solving Nonlinear Operator EquationsBy
- Alexander Ramm, Kansas State University, Manhattan, KS, USA
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 provedin the book, and some of the background material is also included. The results presented are mostly obtained by the author.
Mathematicians, numerical analysists, specialists in scientific computing, engineers and others interested in solving operator equations, ill-posed and inverse problems.
Mathematics in Science and Engineering
Hardbound, 304 Pages
- PrefaceContents 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 spaces10. DSM and Newton-type methods without inversion of the derivative11. DSM and unbounded operators12. DSM and nonsmooth operators13. DSM as a theoretical tool14. DSM and iterative methods15. Numerical problems arising in applications16. Auxiliary results from analysisBibliographical notesBibliographyIndex