Computational theory of iterative methods /

The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations. The following four major problems are addressed. Problem 1: Show that the iterates are well defined. Problem 2: concerns the conv...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Argyros, Ioannis K.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; London : Elsevier, 2007.
Colección:Studies in computational mathematics ; 15.
Temas:
Iterative methods (Mathematics)
It�eration (Math�ematiques)
MATHEMATICS > Numerical Analysis.
Funktionalanalysis
Iteration
Numerische Mathematik
Lehrbuch.
Acceso en línea:Texto completo
Texto completo
Texto completo
Tabla de Contenidos:
  • 1. Linear Spaces
  • 2. Monotone convergence
  • 3. Contractive Fixed Point Theory
  • 4. Solving Smooth Equations
  • 5. Newton-like methods
  • 6. More Results on Newton's Method
  • 7. Equations with Nonsmooth Operators
  • 8. Applications of the weaker version of the Newton-Kantorovich theorem
  • 9. The Newton-Kantorovich Theorem and Mathematical Programming
  • 10. Generalized equations
  • 11. Monotone convergence of point to set-mapping
  • 12. Fixed points of point-to-set mappings
  • 13. Special topics
  • Bibliography
  • A Glossary of Symbols
  • Index.

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