Abstract
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.
Keywords
MathematicsNonlinear systemApplied mathematicsIterative methodMathematical analysisCalculus (dental)Mathematical optimization
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- 2000
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- 6865
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Cite This
J. M. Ortega,
Werner C. Rheinboldt
(2000).
Iterative Solution of Nonlinear Equations in Several Variables.
Society for Industrial and Applied Mathematics eBooks
.
https://doi.org/10.1137/1.9780898719468
Identifiers
- DOI
- 10.1137/1.9780898719468