Solving semi-infinite optimization problems with quadratic rate of convergence:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English German |
| Veröffentlicht: |
Stuttgart
Fraunhofer Verlag
2020
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Zusammenfassung und Werdegang in deutscher und englischer Sprache |
| Beschreibung: | ix, 131 Seiten Diagramme |
| ISBN: | 9783839615911 3839615917 |
Internformat
MARC
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| 100 | 1 | |a Seidel, Tobias |d 1993- |e Verfasser |0 (DE-588)121773628X |4 aut | |
| 245 | 1 | 0 | |a Solving semi-infinite optimization problems with quadratic rate of convergence |c Tobias Seidel |
| 263 | |a 202006 | ||
| 264 | 1 | |a Stuttgart |b Fraunhofer Verlag |c 2020 | |
| 300 | |a ix, 131 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Zusammenfassung und Werdegang in deutscher und englischer Sprache | ||
| 502 | |b Dissertation |c Technische Universität Kaiserslauternrn |d 2019 | ||
| 650 | 0 | 7 | |a Semiinfinite Optimierung |0 (DE-588)4137036-3 |2 gnd |9 rswk-swf |
| 653 | |a Semi-infinite programming | ||
| 653 | |a Discretization | ||
| 653 | |a Rate of convergence | ||
| 653 | |a Stationary points | ||
| 653 | |a Strong stability | ||
| 653 | |a Mathematiker | ||
| 653 | |a Informatiker | ||
| 653 | |a Verfahrensingenieure | ||
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Semiinfinite Optimierung |0 (DE-588)4137036-3 |D s |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-032326982 | ||
Datensatz im Suchindex
| _version_ | 1804181802640736257 |
|---|---|
| adam_text | CONTENTS
LIST
OF
SYMBOLS
AND
ABBREVIATIONS
1
1
INTRODUCTION
3
2
FOUNDATIONS
OF
NONLINEAR
AND
SEMI-INFINITE
OPTIMIZATION
15
2.1
NONLINEAR
OPTIMIZATION
.........................................................................
17
2.1.1
OPTIMALITY
CONDITIONS
.............................................................
17
2.1.2
STRONG
STABILITY
OF
STATIONARY
POINTS
........................................
20
2.2
SEMI-INFINITE
OPTIMIZATION
...................................................................
27
2.2.1
OPTIMALITY
CONDITIONS
.............................................................
31
2.2.2
STRONG
STABILITY
OF
STATIONARY
POINTS
........................................
34
3
CONVERGENCE
SPEED
FOR
ADAPTIVE
DISCRETIZATION
BY
BLANKENSHIP
AND
FALK
41
3.1
BOUNDS
BASED
ON
THE
MAXIMAL
VIOLATION
..............................................
43
3.1.1
AN
EXAMPLE
WITH
ARBITRARILY
SLOW
CONVERGENCE
.....................
44
3.1.2
A
STATEMENT
USING
THE
ORDER
OF
A
MINIMUM
...........................
49
3.2
QUADRATIC
RATE
OF
CONVERGENCE
FOR
OPTIMA
OF
ORDER
ONE
.......................
52
4
AN
ADAPTIVE
DISCRETIZATION
METHOD
WITH
QUADRATIC
RATE
OF
CONVERGENCE
63
4.1
BASIC
CONVERGENCE
PROPERTIES
................................................................
69
4.1.1
CONVERGENCE
OF
STATIONARY
POINTS
...........................................
71
4.1.2
CONVERGENCE
OF
LOCAL
SOLUTIONS
.................................................
76
4.2
QUADRATIC
RATE
OF
CONVERGENCE
.............................................................
83
5
THE
GENERALIZED
SEMI-INFINITE
CASE
95
5.1
TWO
ALGORITHMIC
VARIANTS
......................................................................
95
5.2
TRANSFER
OF
THE
CONVERGENCE
RESULTS
....................................................
98
6
NUMERICAL
ASPECTS
103
6.1
THREE
NUMERICAL
EXAMPLES
.......................................................................
105
6.2
INCREASE
OF
PROBLEM
DIMENSION
.................................................................
112
6.3
SUMMARY
..................................................................................................
114
SUMMARY
AND
FURTHER
WORK
117
BIBLIOGRAPHY
121
|
| adam_txt |
CONTENTS
LIST
OF
SYMBOLS
AND
ABBREVIATIONS
1
1
INTRODUCTION
3
2
FOUNDATIONS
OF
NONLINEAR
AND
SEMI-INFINITE
OPTIMIZATION
15
2.1
NONLINEAR
OPTIMIZATION
.
17
2.1.1
OPTIMALITY
CONDITIONS
.
17
2.1.2
STRONG
STABILITY
OF
STATIONARY
POINTS
.
20
2.2
SEMI-INFINITE
OPTIMIZATION
.
27
2.2.1
OPTIMALITY
CONDITIONS
.
31
2.2.2
STRONG
STABILITY
OF
STATIONARY
POINTS
.
34
3
CONVERGENCE
SPEED
FOR
ADAPTIVE
DISCRETIZATION
BY
BLANKENSHIP
AND
FALK
41
3.1
BOUNDS
BASED
ON
THE
MAXIMAL
VIOLATION
.
43
3.1.1
AN
EXAMPLE
WITH
ARBITRARILY
SLOW
CONVERGENCE
.
44
3.1.2
A
STATEMENT
USING
THE
ORDER
OF
A
MINIMUM
.
49
3.2
QUADRATIC
RATE
OF
CONVERGENCE
FOR
OPTIMA
OF
ORDER
ONE
.
52
4
AN
ADAPTIVE
DISCRETIZATION
METHOD
WITH
QUADRATIC
RATE
OF
CONVERGENCE
63
4.1
BASIC
CONVERGENCE
PROPERTIES
.
69
4.1.1
CONVERGENCE
OF
STATIONARY
POINTS
.
71
4.1.2
CONVERGENCE
OF
LOCAL
SOLUTIONS
.
76
4.2
QUADRATIC
RATE
OF
CONVERGENCE
.
83
5
THE
GENERALIZED
SEMI-INFINITE
CASE
95
5.1
TWO
ALGORITHMIC
VARIANTS
.
95
5.2
TRANSFER
OF
THE
CONVERGENCE
RESULTS
.
98
6
NUMERICAL
ASPECTS
103
6.1
THREE
NUMERICAL
EXAMPLES
.
105
6.2
INCREASE
OF
PROBLEM
DIMENSION
.
112
6.3
SUMMARY
.
114
SUMMARY
AND
FURTHER
WORK
117
BIBLIOGRAPHY
121 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Seidel, Tobias 1993- |
| author_GND | (DE-588)121773628X |
| author_facet | Seidel, Tobias 1993- |
| author_role | aut |
| author_sort | Seidel, Tobias 1993- |
| author_variant | t s ts |
| building | Verbundindex |
| bvnumber | BV046917684 |
| ctrlnum | (OCoLC)1164120061 (DE-599)DNB1212876717 |
| discipline | Informatik Mathematik |
| discipline_str_mv | Informatik Mathematik |
| format | Thesis Book |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T15:30:12Z |
| indexdate | 2024-07-10T08:57:27Z |
| institution | BVB |
| institution_GND | (DE-588)4786605-6 |
| isbn | 9783839615911 3839615917 |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032326982 |
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| physical | ix, 131 Seiten Diagramme |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | Fraunhofer Verlag |
| record_format | marc |
| spelling | Seidel, Tobias 1993- Verfasser (DE-588)121773628X aut Solving semi-infinite optimization problems with quadratic rate of convergence Tobias Seidel 202006 Stuttgart Fraunhofer Verlag 2020 ix, 131 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Zusammenfassung und Werdegang in deutscher und englischer Sprache Dissertation Technische Universität Kaiserslauternrn 2019 Semiinfinite Optimierung (DE-588)4137036-3 gnd rswk-swf Semi-infinite programming Discretization Rate of convergence Stationary points Strong stability Mathematiker Informatiker Verfahrensingenieure (DE-588)4113937-9 Hochschulschrift gnd-content Semiinfinite Optimierung (DE-588)4137036-3 s DE-604 Fraunhofer IRB-Verlag (DE-588)4786605-6 pbl X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=06d154519d3344488907d1b9435f02f0&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032326982&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Seidel, Tobias 1993- Solving semi-infinite optimization problems with quadratic rate of convergence Semiinfinite Optimierung (DE-588)4137036-3 gnd |
| subject_GND | (DE-588)4137036-3 (DE-588)4113937-9 |
| title | Solving semi-infinite optimization problems with quadratic rate of convergence |
| title_auth | Solving semi-infinite optimization problems with quadratic rate of convergence |
| title_exact_search | Solving semi-infinite optimization problems with quadratic rate of convergence |
| title_exact_search_txtP | Solving semi-infinite optimization problems with quadratic rate of convergence |
| title_full | Solving semi-infinite optimization problems with quadratic rate of convergence Tobias Seidel |
| title_fullStr | Solving semi-infinite optimization problems with quadratic rate of convergence Tobias Seidel |
| title_full_unstemmed | Solving semi-infinite optimization problems with quadratic rate of convergence Tobias Seidel |
| title_short | Solving semi-infinite optimization problems with quadratic rate of convergence |
| title_sort | solving semi infinite optimization problems with quadratic rate of convergence |
| topic | Semiinfinite Optimierung (DE-588)4137036-3 gnd |
| topic_facet | Semiinfinite Optimierung Hochschulschrift |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=06d154519d3344488907d1b9435f02f0&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032326982&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT seideltobias solvingsemiinfiniteoptimizationproblemswithquadraticrateofconvergence AT fraunhoferirbverlag solvingsemiinfiniteoptimizationproblemswithquadraticrateofconvergence |