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Dynamical systems method for solving operator equations

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 sel...

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Bibliographic Details
Main Author: Ramm, A. G.
Format: eBook
Language:English
Published: Amsterdam Elsevier 2007, 2007
Edition:1st ed
Series:Mathematics in science and engineering
Subjects:
Dynamique Différentiable
Differentiable Dynamical Systems / Fast / (ocolc)fst00893426
Mathematics / Functional Analysis / Bisacsh
Operator Equations / Http://id.loc.gov/authorities/subjects/sh85095023
Differentiable Dynamical Systems / Http://id.loc.gov/authorities/subjects/sh85037882
Dynamische Systemen / Gtt
Operatorenvergelijkingen / Gtt
Équations À Opérateurs
Operator Equations / Fast / (ocolc)fst01046410
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
Table of Contents:
  • Includes bibliographical references (pages 275-287) and index
  • Chapter 1. Introduction
  • Chapter 2. Ill-posed problems
  • Chapter 3. DSM for well-posed problems
  • Chapter 4. DSM and linear ill-posed problems
  • Chapter 5. Some inequalities
  • Chapter 6. DSM for monotone operators
  • Chapter 7. DSM for general nonlinear operator equations
  • Chapter 8. DSM for operators satisfying a spectral assumption
  • Chapter 9. DSM in Banach spaces
  • Chapter 10. DSM and Newton-type methods without inversion of the derivative
  • Chapter 11. DSM and unbounded operators
  • Chapter 12. DSM and nonsmooth operators
  • Chapter 13. DSM as a theoretical tool
  • Chapter 14. DSM and iterative methods
  • Chapter 15. Numerical problems arising in applications
  • Chapter 16. Auxiliary results from analysis

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