The theory and applications of iteration methods:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fla. u.a.
CRC Press
1993
|
| Series: | Systems engineering series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 355 S. |
| ISBN: | 0849380146 |
Staff View
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Record in the Search Index
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| adam_text | IMAGE 1
THE THEORY AND
APPLICATIONS OF ITERATION METHODS
IOANNIS K. ARGYROS FERENC SZIDAROVSZKY
CRC PRESS
BOCA RATON ANN ARBOR LONDON TOKYO
IMAGE 2
CONTENTS
PREFACE VII
1 THE CONVERGENCE OF ALGORITHMIC MODEIS 1
1.1 ALGORITHMIC MODEIS 1
1.2 CONVERGENCE CRITERIA FOR ALGORITHMIC MODEIS 4
1.3 APPLICATIONS 10
EXERCISES 41
2 THE CONVERGENCE OF ITERATION SEQUENCES 45
2.1 THE GENERAL CONVERGENCE THEOREM 45
2.2 CONVERGENCE OF 1-STEP METHODS 47
2.3 CONVERGENCE OF SINGLE-STEP METHODS 51
2.4 CONVERGENCE OF SINGLE-STEP METHODS WITH DIFFERENTIABLE ITERATION
FUNCTIONS 55
2.5 CASE STUDIES 60
EXERCISES 119
3 MONOTONE CONVERGENCE 123
3.1 GENERAL RESULTS 123
3.2 A GENERAL MODEL IN LINEAR SPACES 124
3.3 CASE STUDIES 129
EXERCISES 153
4 COMPARISON THEOREMS 157
4.1 GENERAL RESULTS 157
4.2 COMPARISON TO FIXED POINTS 159
4.3 CASE STUDIES 160
EXERCISES 178
5 THE CONVERGENCE OF NEWTON METHODS AND THEIR VARIANTS 181
5.1 CONVERGENCE ANALYSIS AND PTAEK ERROR ESTIMATES 181
5.2 CONVERGENCE WITH A NONDIFFERENTIABLE TERM 190
5.3 CONVERGENCE OF NEWTON-LIKE METHODS 191
5.4 CASE STUDIES 194
EXERCISES 321
*
IMAGE 3
*
6 THE MONOTONE CONVERGENCE OF NEWTON METHODS AND THEIR VARIANTS 325
6.1 MONOTONE CONVERGENCE OF NEWTON-LIKE METHODS 325
6.2 A LATTICE THEORETICAL FIXED POINT THEOREM 337
6.3 CASE STUDIES 339
EXERCISES 343
REFERENCES 345
INDEX 351
|
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| indexdate | 2024-07-09T17:38:19Z |
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| isbn | 0849380146 |
| language | English |
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| physical | 355 S. |
| publishDate | 1993 |
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| series2 | Systems engineering series |
| spelling | Argyros, Ioannis K. Verfasser (DE-588)14160820X aut The theory and applications of iteration methods Ioannis K. Argyros ; Ferenc Szidarovszky Boca Raton, Fla. u.a. CRC Press 1993 355 S. txt rdacontent n rdamedia nc rdacarrier Systems engineering series Iterative methods (Mathematics) Iteration (DE-588)4123457-1 gnd rswk-swf Iteration (DE-588)4123457-1 s DE-604 Szidarovszky, Ferenc 1945- Verfasser (DE-588)121012158 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006367895&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Argyros, Ioannis K. Szidarovszky, Ferenc 1945- The theory and applications of iteration methods Iterative methods (Mathematics) Iteration (DE-588)4123457-1 gnd |
| subject_GND | (DE-588)4123457-1 |
| title | The theory and applications of iteration methods |
| title_auth | The theory and applications of iteration methods |
| title_exact_search | The theory and applications of iteration methods |
| title_full | The theory and applications of iteration methods Ioannis K. Argyros ; Ferenc Szidarovszky |
| title_fullStr | The theory and applications of iteration methods Ioannis K. Argyros ; Ferenc Szidarovszky |
| title_full_unstemmed | The theory and applications of iteration methods Ioannis K. Argyros ; Ferenc Szidarovszky |
| title_short | The theory and applications of iteration methods |
| title_sort | the theory and applications of iteration methods |
| topic | Iterative methods (Mathematics) Iteration (DE-588)4123457-1 gnd |
| topic_facet | Iterative methods (Mathematics) Iteration |
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