| Document Type
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BL
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| Record Number
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674180
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| Doc. No
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b503369
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| Main Entry
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Ortega, James M.,1932-
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| Title & Author
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Iterative solution of nonlinear equations in several variables\ J.M. Ortega, W.C. Rheinboldt.
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| Publication Statement
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Philadelphia, Pa. :: Society for Industrial and Applied Mathematics,, 2000.
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| Series Statement
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Classics in applied mathematics ;; 30.
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| Page. NO
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1 online resource (xxvi, 572 p.)
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| ISBN
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9780898719468 (electronic bk.)
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0898714613 (print)
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9780898714616 (print)
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| Notes
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Originally published: New York : Academic Press, 1970.
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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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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| Abstract
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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.
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| Subject
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Equations-- Numerical solutions.
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| Subject
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Iterative methods (Mathematics)
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| Dewey Classification
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511.4
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| LC Classification
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QA297.8.O77 2000
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| Added Entry
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Rheinboldt, Werner C.
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| Added Entry
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Society for Industrial and Applied Mathematics.
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