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Computational theory of iterative methods

Author: Ioannis K Argyros
Publisher: Amsterdam ; London : Elsevier, 2007.
Series: Studies in computational mathematics, 15.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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: problems 1 shows that the iterates are well defined; 2nd problem concerns the convergence of the sequences generated by a process and the question of whether the limit points are, in fact solutions  Read more...
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Genre/Form: Lehrbuch
Document Type: Book
All Authors / Contributors: Ioannis K Argyros
ISBN: 9780444531629 0444531629
OCLC Number: 124959845
Description: xv, 487 pages : illustrations ; 25 cm.
Contents: 1. Linear Spaces2. Monotone convergence3. Contractive Fixed Point Theory4. Solving Smooth Equations5. Newton-like methods6. More Results on Newton's Method7. Equations with Nonsmooth Operators8. Applications of the weaker version of the Newton-Kantorovich theorem9. The Newton-Kantorovich Theorem and Mathematical Programming10. Generalized equations11. Monotone convergence of point to set-mapping12. Fixed points of point-to-set mappings13. Special topicsBibliographyA Glossary of SymbolsIndex
Series Title: Studies in computational mathematics, 15.
Responsibility: Ioannis K. Argyros.

Abstract:

Useful for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations, this book addresses four problems.  Read more...

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