Iterative Solution of Nonlinear Equations in Several Variables - Brossura

Ortega, J. M.; Rheinboldt, W. C.

Brossura

ISBN 10: 0898714613 ISBN 13: 9780898714616

Casa editrice: Society for Industrial and Applied Mathematics, 2000

Riassunto

Surveys theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution.

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Descrizione del libro

Surveys the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Offers a research-level presentation of the principal results known in 1970. The results and proof techniques introduced still represent a solid basis for this topic.

Contenuti

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.

Dettagli dell'edizione

• Editore: Society for Industrial and Applied Mathematics
• Data di pubblicazione: 2000
• Lingua: Inglese
• ISBN 10: 0898714613
• ISBN 13: 9780898714616
• Rilegatura: Copertina flessibile
• Numero di pagine: 598
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile