Convergence and Applications of Newton-type Iterations

Ioannis K. Argyros

ISBN 10: 0387727418 / ISBN 13: 9780387727417

Editore: Springer-Verlag New York Inc., 2008

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This item is printed on demand. New copy - Usually dispatched within 5-9 working days 821. Codice articolo C9780387727417

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Titolo: Convergence and Applications of Newton-type ...

Casa editrice: Springer-Verlag New York Inc.

Data di pubblicazione: 2008

Legatura: Hardback

Condizione: New

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Riassunto:

This monograph is devoted to a comprehensive treatment of iterative methods for solving nonlinear equations with particular emphasis on semi-local convergence analysis. Theoretical results are applied to engineering, dynamic economic systems, input-output systems, nonlinear and linear differential equations, and optimization problems. Accompanied by many exercises, some with solutions, the book may be used as a supplementary text in the classroom for an advanced course on numerical functional analysis.

Dalla quarta di copertina:

Recent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods. This monograph provides a comprehensive study of both basic theory and new results in the area. Each chapter contains new theoretical results and important applications in engineering, modeling dynamic economic systems, input-output systems, optimization problems, and nonlinear and linear differential equations. Several classes of operators are considered, including operators without Lipschitz continuous derivatives, operators with high order derivatives, and analytic operators. Each section is self-contained. Examples are used to illustrate the theory and exercises are included at the end of each chapter.

The book assumes a basic background in linear algebra and numerical functional analysis. Graduate students and researchers will find this book useful. It may be used as a self-study reference or as a supplementary text for an advanced course in numerical functional analysis.