This book presents iterative methods for solving nonlinear equations. It applies theoretical results to engineering, dynamic economic systems, input-output systems, nonlinear and linear differential equations, and optimization problems. Num Pages: 56 pages, 12 black & white tables, biography. BIC Classification: PBKF; PBKS. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 26. Weight in Grams: 783. . 2010. 1st ed. Softcover of orig. ed. 2008. Paperback. . . . . Books ship from the US and Ireland.

Bestandsnummer des Verk�ufers V9781441924926

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Bibliografische Details

Titel: Convergence and Applications of Newton-type Iterations
Verlag: Springer-Verlag New York Inc.
Erscheinungsjahr: 2010
Sprache: Englisch
ISBN-10: 1441924922
ISBN-13: 9781441924926
Einband: Softcover
Zustand: New

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Inhaltsangabe

This monograph is devoted to a comprehensive treatment of iterative methods for solving nonlinear equations with particular emphasis on semilocal 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 seminars in advanced numerical and functional analysis or computer science.

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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.

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