ENGLISH

Convergence and Applications of Newton-type Iterations

By Ioannis K. Argyros (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2008
ISBN
0387727418, 9780387727417, 9780387727431
DOI
10.1007/978-0-387-72743-1
Open Library ID
OL7447894M
Language
english
Format
PDF
Filesize
9 MB (9572261 bytes)
Edition
1
Pages
56\512
Library
www.knigka.info
Orientation
no
Scanned
no
Time added
2010-02-18 13:16:04
Functional Analysis; Computational Mathematics and

Description

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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