Parametric optimization: singularities, pathfollowing and jumps:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Stuttgart
Teubner
1990
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 191 S. graph. Darst. |
| ISBN: | 0471928070 3519021129 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface vii
1 Introduction 1
1.1 A preliminary survey on solution algorithms in one parametric
optimization 1
1.2 Some motivations 10
1.3 Summaries of Chapters 2 6 18
2 Theoretical Background (by H. Th. Jongen) 20
2.1 Preliminary outline 20
2.2 Unconstrained optimization problems 21
2.3 Constraint sets 28
2.4 Critical points, stationary points, stability 31
2.5 Generic singularities in one parametric optimization problems 41
2.6 The approach via piecewise differentiability 53
3 Pathfollowing of Curves of Local Minintizers 56
3.1 Preliminary outline 56
3.2 The estimation of the radius of convergence 59
3.3 An active index set strategy 68
3.4 The algorithm PATH I and numerical results 83
4 Pathfollowing Along a Connected Component in the Karush Kuhn
Tucker Set and In the Critical Set 91
4.1 Preliminary outline 91
4.2 Pathfollowing in the Karush Kuhn Tucker set 92
4.3 The algorithm PATH II and numerical results 96
4.4 Pathfollowing in the critical set 102
4.5 The algorithm PATH III 111
5 Pathfollowing with Jumps in the Set of Local Minlmizers and in
the Set of Generalized Critical Points 115
5.1 Preliminary outline 115
5.2 Jumps in the set of local minimizers and the algorithm JUMP I 117
5.3 Jumps in the critical set and the algorithm JUMP II 135
v
vi Contents
6 Applications 147
6.1 Preliminary outline 147
6.2 On globally convergent algorithms 148
6.3 On global optimization 160
6.4 On multi objective optimization 166
References and Further Reading 175
Glossary of Symbols and Some Assumptions 187
Index 190
|
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| discipline | Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:44:37Z |
| institution | BVB |
| isbn | 0471928070 3519021129 |
| language | English |
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| physical | VIII, 191 S. graph. Darst. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Teubner |
| record_format | marc |
| spelling | Guddat, Jürgen Verfasser aut Parametric optimization: singularities, pathfollowing and jumps J. Guddat and F. Guerra Vazquez Stuttgart Teubner 1990 VIII, 191 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Homotopie ram Optimisation mathématique ram Homotopy theory Mathematical optimization Parametrische Optimierung (DE-588)4044615-3 gnd rswk-swf Homotopie (DE-588)4025803-8 gnd rswk-swf Parametrische Optimierung (DE-588)4044615-3 s DE-604 Homotopie (DE-588)4025803-8 s 1\p DE-604 Guerra Vazquez, Francisco Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004018740&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Guddat, Jürgen Guerra Vazquez, Francisco Parametric optimization: singularities, pathfollowing and jumps Homotopie ram Optimisation mathématique ram Homotopy theory Mathematical optimization Parametrische Optimierung (DE-588)4044615-3 gnd Homotopie (DE-588)4025803-8 gnd |
| subject_GND | (DE-588)4044615-3 (DE-588)4025803-8 |
| title | Parametric optimization: singularities, pathfollowing and jumps |
| title_auth | Parametric optimization: singularities, pathfollowing and jumps |
| title_exact_search | Parametric optimization: singularities, pathfollowing and jumps |
| title_full | Parametric optimization: singularities, pathfollowing and jumps J. Guddat and F. Guerra Vazquez |
| title_fullStr | Parametric optimization: singularities, pathfollowing and jumps J. Guddat and F. Guerra Vazquez |
| title_full_unstemmed | Parametric optimization: singularities, pathfollowing and jumps J. Guddat and F. Guerra Vazquez |
| title_short | Parametric optimization: singularities, pathfollowing and jumps |
| title_sort | parametric optimization singularities pathfollowing and jumps |
| topic | Homotopie ram Optimisation mathématique ram Homotopy theory Mathematical optimization Parametrische Optimierung (DE-588)4044615-3 gnd Homotopie (DE-588)4025803-8 gnd |
| topic_facet | Homotopie Optimisation mathématique Homotopy theory Mathematical optimization Parametrische Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004018740&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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