Practical methods of optimization: 1 Unconstrained optimization
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester [u.a.]
Wiley
1980
|
| Series: | A Wiley-Interscience publication
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 120 S. graph. Darst. |
| ISBN: | 0471277118 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Preface vii
Chapter 1 Introduction 1
1.1 History and Applications 1
1.2 Mathematical Background 4
Questions for Chapter 1 9
Chapter 2 Structure of Methods 10
2.1 Conditions for Local Minima 10
2.2 Ad hoc Methods 13
2.3 Useful Algorithmic Properties 16
2.4 Descent Methods and Stability 20
2.5 Quadratic Models 23
2.6 Algorithms for the Line Search 25
Questions for Chapter 2 29
Chapter 3 Newton like Methods 33
3.1 Newton s Method 33
3.2 Quasi Newton Methods 38
3.3 Invariance and Metrics 45
3.4 The Broyden Family 48
3.5 Numerical Experiments 54
3.6 Other Formulae 58
Questions for Chapter 3 60
Chapter 4 Conjugate Direction Methods 63
4.1 Conjugate Gradient Methods 63
4.2 Direction Set Methods 70
Questions for Chapter 4 75
Chapter 5 Restricted Step Methods 77
5.1 A Model Algorithm 77
5.2 Levenfaerg—Marquardt Methods 82
Questions for Chapter 5 88
v
vi
Chapter 6 Sums of Squares and Non linear Equations 91
6.1 Over determined Systems 91
6.2 Well determined Systems of Equations 98
6.3 No derivative Methods 106
Questions for Chapter 6 110
References 113
Subject Index 118
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:43:58Z |
| institution | BVB |
| isbn | 0471277118 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001524185 |
| oclc_num | 310646190 |
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| physical | VIII, 120 S. graph. Darst. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Wiley |
| record_format | marc |
| series2 | A Wiley-Interscience publication |
| spelling | Fletcher, Roger 1939- Verfasser (DE-588)1014948738 aut Practical methods of optimization 1 Unconstrained optimization R. Fletcher Chichester [u.a.] Wiley 1980 VIII, 120 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier A Wiley-Interscience publication Optimierung (DE-588)4043664-0 gnd rswk-swf Optimierung (DE-588)4043664-0 s DE-604 (DE-604)BV002327142 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001524185&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fletcher, Roger 1939- Practical methods of optimization Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4043664-0 |
| title | Practical methods of optimization |
| title_auth | Practical methods of optimization |
| title_exact_search | Practical methods of optimization |
| title_full | Practical methods of optimization 1 Unconstrained optimization R. Fletcher |
| title_fullStr | Practical methods of optimization 1 Unconstrained optimization R. Fletcher |
| title_full_unstemmed | Practical methods of optimization 1 Unconstrained optimization R. Fletcher |
| title_short | Practical methods of optimization |
| title_sort | practical methods of optimization unconstrained optimization |
| topic | Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001524185&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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