Iterative Solution of Nonlinear Equations in Several Variables
- 592 pages
- English
- PDF
- Only available on web
Iterative Solution of Nonlinear Equations in Several Variables
About This Book
Computer Science and Applied Mathematics: Iterative Solution of Nonlinear Equations in Several Variables presents a survey of the basic theoretical results about nonlinear equations in n dimensions and analysis of the major iterative methods for their numerical solution. This book discusses the gradient mappings and minimization, contractions and the continuation property, and degree of a mapping. The general iterative and minimization methods, rates of convergence, and one-step stationary and multistep methods are also elaborated. This text likewise covers the contractions and nonlinear majorants, convergence under partial ordering, and convergence of minimization methods. This publication is a good reference for specialists and readers with an extensive functional analysis background.
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Table of contents
- Front Cover
- Iterative Solution of Nonlinear Equations in Several Variables
- Copyright Page
- Table of Contents
- PREFACE
- ACKNOWLEDGMENTS
- GLOSSARY OF SYMBOLS
- INTRODUCTION
- PART I: BACKGROUND MATERIAL
- PART II: NONCONSTRUCTIVE EXISTENCE THEOREMS
- PART III: ITERATIVE METHODS
- PART IV: LOCAL CONVERGENCE
- PART V: SEMILOCAL AND GLOBAL CONVERGENCE
- AN ANNOTATED LIST OF BASIC REFERENCE BOOKS
- BIBLIOGRAPHY
- AUTHOR INDEX
- SUBJECT INDEX