Computational Theory of Iterative Methods

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Computational Theory of Iterative Methods

By Argyros, Ioannis

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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 convergence of the sequences generated by a process and the question of whether the limit points are, in fact solutions of the equation. Problem 3: concerns the economy of the entire operations. Problem 4: concerns with how to best choose a method, algorithm or software program to solve a specific type of problem and its description of when a given algorithm succeeds or fails. The book contains applications in several areas of applied sciences including mathematical programming and mathematical economics. There is also a huge number of exercises complementing the theory.

- Latest convergence results for the iterative methods
- Iterative methods with the least computational cost
- Iterative methods with the weakest convergence conditions
- Open problems on iterative methods

Subject: Mathematics & Statistics -> Mathematics -> Mathematics General

Computational Theory of Iterative Methods
Publisher: Elsevier S & T 09/2007
Imprint: Elsevier Science
Language: English
Length: 504 pages

ISBN 10: 0444531629
ISBN 13: 9780444531629
Print ISBN: 9780444531629

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