Convergence and Applications of Newton-type Iterations

Ioannis K. Argyros

ISBN 10: 0387727418 / ISBN 13: 9780387727417

Published by Springer New York, Springer US Jul 2008, 2008

About this Item

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 528 pp. Englisch.

Seller Inventory # 9780387727417

Bibliographic Details

• Title: Convergence and Applications of Newton-type Iterations
• Publisher: Springer New York, Springer US Jul 2008
• Publication Date: 2008
• Language: English
• ISBN 10: 0387727418
• ISBN 13: 9780387727417
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 33D millimeters 241 millimeters width by 160 millimeters height by 33 millimeters depth
• Weight: 951 grams

About this title

Synopsis

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.