Iterative solution of nonlinear equations in several variables: Originally published: New York : Academic Press, 1970
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
2000
|
| Schriftenreihe: | Classics in applied mathematics
30 |
| Schlagwörter: | |
| Links: | http://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl30 https://ebookcentral.proquest.com/lib/munchentech/detail.action?docID=1888486 http://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl30 https://doi.org/10.1137/1.9780898719468 |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader |
| Umfang: | 1 Online-Ressource (xxvi, 572 Seiten) |
| DOI: | 10.1137/1.9780898719468 |
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| 245 | 1 | 0 | |a Iterative solution of nonlinear equations in several variables |b Originally published: New York : Academic Press, 1970 |c J.M. Ortega, W.C. Rheinboldt |
| 264 | 1 | |a Philadelphia, Pa. |b Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |c 2000 | |
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| 490 | 1 | |a Classics in applied mathematics |v 30 | |
| 500 | |a Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader | ||
| 505 | 8 | |a Includes bibliographical references and index | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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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| author | Ortega, James M. 1932- Rheinboldt, Werner C. 1927- |
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| contents | Includes bibliographical references and index 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 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 |
| ctrlnum | (OCoLC)775728666 (DE-599)BVBBV039747161 |
| discipline | Mathematik |
| doi_str_mv | 10.1137/1.9780898719468 |
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| indexdate | 2024-12-20T16:01:24Z |
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| language | English |
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| series2 | Classics in applied mathematics |
| spellingShingle | Ortega, James M. 1932- Rheinboldt, Werner C. 1927- Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 Classics in applied mathematics Includes bibliographical references and index 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 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 Numerisches Verfahren (DE-588)4128130-5 gnd Mehrere Variable (DE-588)4277015-4 gnd Nichtlineare Gleichung (DE-588)4455337-7 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4277015-4 (DE-588)4455337-7 |
| title | Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 |
| title_auth | Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 |
| title_exact_search | Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 |
| title_full | Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 J.M. Ortega, W.C. Rheinboldt |
| title_fullStr | Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 J.M. Ortega, W.C. Rheinboldt |
| title_full_unstemmed | Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 J.M. Ortega, W.C. Rheinboldt |
| title_short | Iterative solution of nonlinear equations in several variables |
| title_sort | iterative solution of nonlinear equations in several variables originally published new york academic press 1970 |
| title_sub | Originally published: New York : Academic Press, 1970 |
| topic | Numerisches Verfahren (DE-588)4128130-5 gnd Mehrere Variable (DE-588)4277015-4 gnd Nichtlineare Gleichung (DE-588)4455337-7 gnd |
| topic_facet | Numerisches Verfahren Mehrere Variable Nichtlineare Gleichung |
| url | https://doi.org/10.1137/1.9780898719468 |
| volume_link | (DE-604)BV040633091 |
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