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