Convergence and Applications of Newton-type Iterations

  • Ioannis K. Argyros

Table of contents

  1. Front Matter
    Pages 1-12
  2. Ioannis K. Argyros
    Pages 1-40
  3. Ioannis K. Argyros
    Pages 1-92
  4. Ioannis K. Argyros
    Pages 1-68
  5. Ioannis K. Argyros
    Pages 1-63
  6. Ioannis K. Argyros
    Pages 1-39
  7. Ioannis K. Argyros
    Pages 1-29
  8. Back Matter
    Pages 1-14

About this book

Introduction

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.

Keywords

Approximation Derivative complexity convergence analysis differential equation differential equations functional analysis iterative methods linear algebra optimization

Authors and affiliations

  • Ioannis K. Argyros
  1. 1.Dept. Mathematical SciencesCameron UniversityLawtonU.S.A.

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-72743-1
  • Copyright Information Springer-Verlag New York 2008
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-72741-7
  • Online ISBN 978-0-387-72743-1
  • About this book