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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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Bibliographic Details
Main Author: Argyros, Ioannis K.
Format: eBook
Language:English
Published: Amsterdam Elsevier 2007, 2007
Series:Studies in computational mathematics
Subjects:
Iterative Methods (mathematics) / Http://id.loc.gov/authorities/subjects/sh85069058
Iteration / Gnd / Http://d-nb.info/gnd/4123457-1
Mathematics / Numerical Analysis / Bisacsh
Funktionalanalysis / Gnd / Http://d-nb.info/gnd/4018916-8
Itération (mathématiques)
Iterative Methods (mathematics) / Fast / (ocolc)fst00980827
Numerische Mathematik / Gnd / Http://d-nb.info/gnd/4042805-9
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
Table of Contents:
  • Includes bibliographical references and index
  • 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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