Conjugate duality in convex optimization:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2010
|
| Schriftenreihe: | Lecture notes in economics and mathematical systems
637 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XII, 164 S. graph. Darst. |
| ISBN: | 9783642048999 |
Internformat
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| 300 | |a XII, 164 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1805093599771099136 |
|---|---|
| adam_text |
CONTENTS INTRODUCTION 1 I PERTURBATION FUNCTIONS AND DUAL PROBLEMS 9 1 A
GENERAL APPROACH FOR DUALITY 9 2 THE PROBLEM HAVING THE COMPOSITION WITH
A LINEAR CONTINUOUS OPERATOR IN THE OBJECTIVE FUNCTION 14 3 THE PROBLEM
WITH GEOMETRIC AND CONE CONSTRAI NTS 19 4 THE COMPOSED CONVEX
OPTIMIZATION PROBLEM 28 II MOREAU-ROCKAFELLAR FORMULAE AND
CLOSEDNESS-TYPE REGULARITY CONDITIONS 35 5 GENERALIZED
MOREAU-ROCKAFELLAR FORMULAE 35 6 STABLE STRONG DUALITY FOR THE COMPOSED
CONVEX OPTIMIZATION PROBLEM 38 7 STABLE STRONG DUALITY FOR THE PROBLEM
HAVING THE COMPOSITION WITH A LINEAR CONTINUOUS OPERATOR IN THE
OBJECTIVE FUNCTION 44 8 STABLE STRONG DUALITY FOR THE PROBLEM WITH
GEOMETRIC AND CONE CONSTRAINTS 50 9 CLOSEDNESS REGARDING A SET 56 III
BICONJUGATE FUNCTIONS 65 10 THE BICONJUGATE OF A GENERAL PERTURBATION
FUNCTION 65 11 BICONJUGATES FORMULAE FOR DIFFERENT CLASSES OF CONVEX
FUNCTIONS 68 12 THE SUPREMUM OF AN (INFINITE) FAMILY OF CONVEX FUNCTIONS
73 13 THE SUPREMUM OF TWO CONVEX FUNCTIONS 82 IV STRONG AND TOTAL
CONJUGATE DUALITY 87 14 A GENERAL CLOSEDNESS-TYPE REGULARITY CONDITION
FOR (ONLY) STRONG DUALITY 87 15 STRONG FENCHEL DUALITY 89 16 STRONG
LAGRANGE AND FENCHEL-LAGRANGE DUALITY 93 1 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/996515402 DIGITALISIERT DURCH X CONTENTS V
UNCONVENTIONAL FENCHEL DUALITY 105 18 TOTALLY FENCHEL UNSTABLE FUNCTIONS
105 19 TOTALLY FENCHEL UNSTABLE FUNCTIONS IN FINITE DIMENSIONAL SPACES
112 20 QUASI INTERIOR AND QUASI-RELATIVE INTERIOR 115 21 REGULARITY
CONDITIONS VIA QI AND QRI 119 22 LAGRANGE DUALITY VIA FENCHEL DUALITY
127 VI APPLICATIONS OF THE DUALITY TO MONOTONE OPERATORS 133 23 MONOTONE
OPERATORS AND THEIR REPRESENTATIVE FUNCTIONS 133 24 MAXIMAL MONOTONICITY
OF THE OPERATOR S 4- A* TA 136 25 THEMAXIMALITYOF,4*7V4ANDS + 7: 142 26
ENLARGEMENTS OF MONOTONE OPERATORS 148 REFERENCES 1 57 INDEX 163 |
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| building | Verbundindex |
| bvnumber | BV036056527 |
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| ctrlnum | (OCoLC)574971135 (DE-599)BVBBV036056527 |
| dewey-full | 519.76 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.76 |
| dewey-search | 519.76 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
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| id | DE-604.BV036056527 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T10:30:03Z |
| institution | BVB |
| isbn | 9783642048999 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018948101 |
| oclc_num | 574971135 |
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| physical | XII, 164 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in economics and mathematical systems |
| series2 | Lecture notes in economics and mathematical systems |
| spelling | Boţ, Radu Ioan 1976- Verfasser (DE-588)125003935 aut Conjugate duality in convex optimization Radu Ioan Boţ Berlin [u.a.] Springer 2010 XII, 164 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in economics and mathematical systems 637 Konjugierte Dualität (DE-588)4564710-0 gnd rswk-swf Konvexe Optimierung (DE-588)4137027-2 gnd rswk-swf Konvexe Optimierung (DE-588)4137027-2 s Konjugierte Dualität (DE-588)4564710-0 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-04900-2 Lecture notes in economics and mathematical systems 637 (DE-604)BV000000036 637 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3351006&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=018948101&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Boţ, Radu Ioan 1976- Conjugate duality in convex optimization Lecture notes in economics and mathematical systems Konjugierte Dualität (DE-588)4564710-0 gnd Konvexe Optimierung (DE-588)4137027-2 gnd |
| subject_GND | (DE-588)4564710-0 (DE-588)4137027-2 |
| title | Conjugate duality in convex optimization |
| title_auth | Conjugate duality in convex optimization |
| title_exact_search | Conjugate duality in convex optimization |
| title_full | Conjugate duality in convex optimization Radu Ioan Boţ |
| title_fullStr | Conjugate duality in convex optimization Radu Ioan Boţ |
| title_full_unstemmed | Conjugate duality in convex optimization Radu Ioan Boţ |
| title_short | Conjugate duality in convex optimization |
| title_sort | conjugate duality in convex optimization |
| topic | Konjugierte Dualität (DE-588)4564710-0 gnd Konvexe Optimierung (DE-588)4137027-2 gnd |
| topic_facet | Konjugierte Dualität Konvexe Optimierung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3351006&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=018948101&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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