Iterative solution of nonlinear equations in several variables /

Iterative solution of nonlinear equations in several variables /

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Bibliographic Details
Author / Creator:Ortega, James M., 1932-
Imprint:Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2000.
Description:1 online resource (xxvi, 572 pages) : digital file
Language:English
Series:Classics in applied mathematics ; 30
Classics in applied mathematics ; 30.
Subject:
Iterative methods (Mathematics)
Equations -- Numerical solutions.
Equations -- Numerical solutions.
Iterative methods (Mathematics)
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12577316
Hidden Bibliographic Details
Other authors / contributors:Rheinboldt, Werner C.
Society for Industrial and Applied Mathematics.
ISBN:9780898719468
0898719461
9780898714616
0898714613
Notes:Title from title screen, viewed 12/30/2010.
Originally published: New York : Academic Press, 1970.
Includes bibliographical references and index.
Restricted to subscribers or individual electronic text purchasers.
Also available in print version.
Summary:Iterative Solution of Nonlinear Equations in Several Variables provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Originally published in 1970, it offers a research-level presentation of the principal results known at that time.
Other form:Print version: Ortega, James M., 1932- Iterative solution of nonlinear equations in several variables. Philadelphia : Society for Industrial and Applied Mathematics, 2000 0898714613
Table of Contents:
  • Preface to the classics edition
  • Preface
  • Acknowledgments
  • Glossary of symbols
  • Introduction
  • Part I. Background material
  • 1. Sample problems
  • 2. Linear algebra
  • 3. Analysis
  • Part II. Nonconstructive existence theorems
  • 4. Gradient mappings and minimization
  • 5. Contractions and the continuation property
  • 6. The degree of a mapping
  • Part III. Iterative methods
  • 7. General iterative methods
  • 8. Minimization methods
  • Part IV. Local convergence
  • 9. Rates of convergence-general
  • 10. One-step stationary methods
  • 11. Multistep methods and additional one-step methods
  • Part V. Semilocal and global convergence
  • 12. Contractions and nonlinear majorants
  • 13. Convergence under partial ordering
  • 14. Convergence of minimization methods
  • An annotated list of basic reference books
  • Bibliography
  • Author index
  • Subject index.

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