Dynamical Systems Method for Solving Nonlinear Operator Equations
- 1st Edition, Volume 208 - December 28, 2006
- Latest edition
- Author: Alexander G. Ramm
- Language: English
Dynamical Systems Method for Solving Nonlinear Operator Equations is of interest to graduate students in functional analysis, numerical analysis, and ill-posed and inverse proble… Read more
Dynamical Systems Method for Solving Nonlinear Operator Equations 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)
Mathematicians, numerical analysists, specialists in scientific computing, engineers and others interested in solving operator equations, ill-posed and inverse problems
1. Introduction2. Ill-posed problems3. DSM for well-posed problems4. DSM and linear ill-posed problems5. Some inequalities6. DSM for monotone operators7. DSM for general nonlinear operator equations8 DSM for operators satisfying a spectral assumption9. 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 analysis
- Edition: 1
- Latest edition
- Volume: 208
- Published: December 28, 2006
- Language: English
AR
Alexander G. Ramm
Affiliations and expertise
Kansas State University, Manhattan, KS, USARead Dynamical Systems Method for Solving Nonlinear Operator Equations on ScienceDirect