On parametric semi-infinite optimization:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Aachen
Shaker
1997
|
| Ausgabe: | Als Ms. gedr. |
| Schriftenreihe: | Berichte aus der Mathematik
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zugl.: Trier, Univ., Diss., 1997 |
| Beschreibung: | VIII, 165 S. graph. Darst. |
| ISBN: | 3826525027 |
Internformat
MARC
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| 100 | 1 | |a Stein, Oliver |d 1967- |e Verfasser |0 (DE-588)115454217 |4 aut | |
| 245 | 1 | 0 | |a On parametric semi-infinite optimization |c Oliver Stein |
| 250 | |a Als Ms. gedr. | ||
| 264 | 1 | |a Aachen |b Shaker |c 1997 | |
| 300 | |a VIII, 165 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Berichte aus der Mathematik | |
| 500 | |a Zugl.: Trier, Univ., Diss., 1997 | ||
| 650 | 4 | |a Mathematical optimization | |
| 650 | 0 | 7 | |a Parametrische Optimierung |0 (DE-588)4044615-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Semiinfinite Optimierung |0 (DE-588)4137036-3 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Parametrische Optimierung |0 (DE-588)4044615-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007637573&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Datensatz im Suchindex
| _version_ | 1807229814101245952 |
|---|---|
| adam_text |
CONTENTS
TABLE
OF
CONTENTS
VII
1
INTRODUCTION
1
2
PARAMETER-FREE
FINITE
OPTIMIZATION
PROBLEMS
7
2.1
BASIC
NOTIONS
.
7
2.2
GENERICITY
ASPECTS
.
15
2.3
THOM
'
S
JET
TRANSVERSALITY
THEOREM
.
16
2.4
THE
GENERICITY
PROOF
.
18
3
PARAMETRIC
FINITE
OPTIMIZATION
PROBLEMS
23
3.1
MULTI-PARAMETRIC
PROBLEMS
.
23
3.2
ONE-PARAMETRIC
PROBLEMS
.
28
3.2.1
THE
CLASSIFICATION
OF
HETTICH
AND
RUPP
.
28
3.2.1.1
TYPE
DEFINITIONS
.
29
3.2.1.2
GENERICITY
.
31
3.2.1.3
LOCAL
STRUCTURE
.
34
3.2.1.4
GLOBAL
STRUCTURE
.
48
3.2.2
THE
CLASSIFICATION
OF
JONGEN,
JONKER
AND
TWILT
.
50
3.2.2.1
TYPE
DEFINITIONS
.
51
3.2.2.2
GENERICITY
.
52
3.2.2.3
LOCAL
STRUCTURE
.
53
3.2.2.4
GLOBAL
STRUCTURE
.
63
3.2.2.5
THE
SET
OF
GLOBAL
MINIMIZERS
.
65
69
4
PARAMETER-FREE
SEMI-INFINITE
OPTIMIZATION
PROBLEMS
4.1
BASIC
NOTIONS
.
69
4.2
NON-DEGENERATE
CRITICAL
POINTS
.
72
4.3
GENERICITY
.
75
5
ONE-PARAMETRIC
SEMI-INFINITE
OPTIMIZATION
PROBLEMS
81
5.1
REDUCTION
LEMMAS
.
83
5.2
TYPE
DEFINITIONS
.
87
5.3
GENERICITY
.
94
5.4
LOCAL
STRUCTURE
.
97
5.4.1
TYPE
6
.
98
5.4.2
TYPE
7
.
112
5.4.3
TYPE
8A
.
116
5.4.4
TYPE
8B
.
121
5.5
GLOBAL
STRUCTURE
.
124
5.5.1
TTAP-DOOR
POINTS
.
124
5.5.2
CONTINUOUS
INDEX
SETS
.
128
6
PATHFOLLOWING
ALGORITHMS
131
6.1
FINITE
OPTIMIZATION
PROBLEMS
.
131
6.1.1
THE
ALGORITHM
PATH^
.
.'
.
135
6.1.2
THE
ALGORITHM
PATH^.J
.
137
6.2
SEMI-INFINITE
OPTIMIZATION
PROBLEMS
.
139
6.2.1
THE
ALGORITHM
PATH^.J
.
141
6.2.2
THE
ALGORITHM
PATH^.J
.
146
7
FINAL
REMARKS
151
REFERENCES
153
LIST
OF
FIGURES
159
LIST
OF
SYMBOLS
160
INDEX
162
CURRICULUM
VITAE
165 |
| any_adam_object | 1 |
| author | Stein, Oliver 1967- |
| author_GND | (DE-588)115454217 |
| author_facet | Stein, Oliver 1967- |
| author_role | aut |
| author_sort | Stein, Oliver 1967- |
| author_variant | o s os |
| building | Verbundindex |
| bvnumber | BV011363624 |
| classification_rvk | SK 870 |
| ctrlnum | (OCoLC)40286356 (DE-599)BVBBV011363624 |
| dewey-full | 519.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.3 |
| dewey-search | 519.3 |
| dewey-sort | 3519.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Als Ms. gedr. |
| format | Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV011363624 |
| illustrated | Illustrated |
| indexdate | 2024-08-13T00:24:15Z |
| institution | BVB |
| isbn | 3826525027 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007637573 |
| oclc_num | 40286356 |
| open_access_boolean | |
| owner | DE-824 DE-706 |
| owner_facet | DE-824 DE-706 |
| physical | VIII, 165 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Shaker |
| record_format | marc |
| series2 | Berichte aus der Mathematik |
| spelling | Stein, Oliver 1967- Verfasser (DE-588)115454217 aut On parametric semi-infinite optimization Oliver Stein Als Ms. gedr. Aachen Shaker 1997 VIII, 165 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Berichte aus der Mathematik Zugl.: Trier, Univ., Diss., 1997 Mathematical optimization Parametrische Optimierung (DE-588)4044615-3 gnd rswk-swf Semiinfinite Optimierung (DE-588)4137036-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Semiinfinite Optimierung (DE-588)4137036-3 s Parametrische Optimierung (DE-588)4044615-3 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007637573&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stein, Oliver 1967- On parametric semi-infinite optimization Mathematical optimization Parametrische Optimierung (DE-588)4044615-3 gnd Semiinfinite Optimierung (DE-588)4137036-3 gnd |
| subject_GND | (DE-588)4044615-3 (DE-588)4137036-3 (DE-588)4113937-9 |
| title | On parametric semi-infinite optimization |
| title_auth | On parametric semi-infinite optimization |
| title_exact_search | On parametric semi-infinite optimization |
| title_full | On parametric semi-infinite optimization Oliver Stein |
| title_fullStr | On parametric semi-infinite optimization Oliver Stein |
| title_full_unstemmed | On parametric semi-infinite optimization Oliver Stein |
| title_short | On parametric semi-infinite optimization |
| title_sort | on parametric semi infinite optimization |
| topic | Mathematical optimization Parametrische Optimierung (DE-588)4044615-3 gnd Semiinfinite Optimierung (DE-588)4137036-3 gnd |
| topic_facet | Mathematical optimization Parametrische Optimierung Semiinfinite Optimierung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007637573&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT steinoliver onparametricsemiinfiniteoptimization |