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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ramm, A. G. (Alexander G.)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; Boston : Elsevier, 2007.
Edición:1st ed.
Colección:Mathematics in science and engineering ; v. 208.
Temas:
Operator equations.
Differentiable dynamical systems.
�Equations �a op�erateurs.
Dynamique diff�erentiable.
MATHEMATICS > Functional Analysis.
Differentiable dynamical systems
Operator equations
Dynamische systemen.
Operatorenvergelijkingen.
Acceso en línea:Texto completo
Texto completo
Texto completo
Tabla de Contenidos:
  • 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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