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theory and applications of iteration methods by Ioannis K. Argyros

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Published by CRC Press in Boca Raton, Fla .
Written in English

Subjects:

  • Iterative methods (Mathematics)

Book details:

Edition Notes

Includes bibliographical references (p. [345]-350) and index.

StatementIoannis K. Argyros, Ferenc Szidarovszky.
SeriesSystems engineering series
ContributionsSzidarovszky, Ferenc.
Classifications
LC ClassificationsQA297.8 .A74 1993
The Physical Object
Pagination355 p.:
Number of Pages355
ID Numbers
Open LibraryOL1399490M
ISBN 100849380146
LC Control Number93007173

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  The Theory and Applications of Iteration Methods focuses on an abstract iteration scheme that consists of the recursive application of a point-to-set mapping. Each chapter presents new theoretical results and important applications in engineering, dynamic economic systems, and Cited by: Book Description The Theory and Applications of Iteration Methods focuses on an abstract iteration scheme that consists of the recursive application of a point-to-set mapping. Each chapter presents new theoretical results and important applications in engineering, dynamic economic systems, and . Focuses on an abstract iteration scheme that consists of the recursive application of a point-to-set mapping. This book explores conditions for the convergence of special single- and two-step methods . The chapter discusses the main reason that only single-step iteration methods in most publications, because any result on single-step processes automatically applies to multistep processes. The methods discussed are used for solving nonlinear equations and systems of nonlinear : Ioannis K. Argyros, Ferenc Szidarovszky.

The Theory and Applications of Iteration Methods book. The Theory and Applications of Iteration Methods book. By Ioannis K. Argyros, Ferenc Szidarovszky. Edition 1st Edition. First Published eBook Published 4 May Pub. location Boca Raton. Imprint CRC : Ioannis K. Argyros, Ferenc Szidarovszky. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in. Much has been written on the theory and applications of iterative algo-rithms, so any book on the subject must be but a glimpse. The topics included here are those most familiar to me, and not necessarily those most familiar to others. Well known algorithms that have been exhaustively dis-. Iterative Methods for Linear Systems offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and.

problems by implicit methods, solution of boundary value problems for ordinary and partial dif-ferential equations by any discrete approximation method, construction of splines, and solution of systems of nonlinear algebraic equations represent just a few of the applications of numerical linear algebra. linear algebra, and the central ideas of direct methods for the numerical solution of dense linear systems as described in standard texts such as [7], [],or[]. Our approach is to focus on a small number of methods and treat them in depth. Though this book is written in a finite-dimensional setting, we. Theory, Applications and Related Methods. Contents Preface vii 1 Introduction 1 12 Why Are Block-Iterative Methods Faster? 81 The Landweber and Cimmino Algorithms 81 applications the goal is to nd an approximate or exact solution to a system. Applications of iterative Toeplitz solvers to some practical problems will be briefly discussed. We wish that after reading the book, the readers can use our methods and algorithms to solve their own problems easily. The book is organized into five chapters. In Chapter 1, we first introduce Toeplitz systems and discuss their applications.