On minimal pairs of compact convex sets and of convex functions:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2002
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 94 S. graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a On minimal pairs of compact convex sets and of convex functions |c von Semu Mitiku Kassa |
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| 300 | |a VIII, 94 S. |b graph. Darst. | ||
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Datensatz im Suchindex
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| adam_text | ON MINIMAL PAIRS OF COMPACT CONVEX SETS AND OF CONVEX FUNCTIONS ZUR
ERLANGUNG DES AKADEMISCHEN GRADES EINES DOKTORS DER
WIRTSCHAFTSWISSENSCHAFTEN (DR. RER. POL.) VON DER FAKULTAT FIIR ~
WIRTSCHAFTSWISSENSCHAFTEN DER UNIVERSITAT FRIDERICIANA ZU KARLSRUHE (TH)
GENEHMIGTE DISSERTATION VON SEMU MITIKU KASSA TAG DER MIINDLICHEN
PRIIFUNG: 07.11.2002 REFERENT: PROF. DR. DIETHARD PALLASCHKE KOREFERENT:
PROF. DR. KLAUS NEUMANN KOREFERENT: PROF. DR. STEPHAN DEMPE KARLSRUHE,
2002 TABLE OF CONTENTS TABLE OF CONTENTS II PREFACE IV KURZFASSUNG VI
LIST OF NOTATIONS VII 1 INTRODUCTION 1 2 DEFINITIONS AND PRELIMINARY
CONCEPTS 5 2.1 AFFINE AND CONVEX SETS 5 2.2 CONVEX POLYTOPES 10 2.3
CONVEX FUNCTIONS 14 2.4 AN OVERVIEW OF GENERALIZED DIFFERENTIALS 18 3
MINIMAL PAIRS OF COMPACT CONVEX SETS 25 3.1 BASIC NOTIONS AND PROPERTIES
25 .3.2 BLASCHKE ADDITION 28 3.3 REDUCTION ALGORITHM IN TWO DIMENSIONAL
SPACES 36 3.3.1 HANDSCHUG S ALGORITHM 37 3.3.2 MINIMALITY OF VERTICES OF
PAIRS OF POLYTOPES JN 1R 2 42 3.4 MINIMALITY IN ARBITRARY DIMENSION 44
3.4.1 A REDUCTION TECHNIQUE FOR PAIRS OF COMPACT CONVEX SETS IN ANY DI-
MENSION 45 3.4.2 RELATIONSHIP BETWEEN MINIMALITY OF PAIRS OF POLYTOPES
AND THEIR NUMBER OF VERTICES 47 3.4.3 SOME MINIMALITY CONDITIONS FOR
PAIRS OF POLYTOPES 48 4 D.C. FUNCTIONS AND THEIR MINIMAL REPRESENTATIONS
58 4.1 PROPERTIES OF D.C. FUNCTIONS 58 4.2 MINIMAL D.C. FUNCTIONS 63 4.3
DIFFERENCES OF SUBHARMONIC FUNCTIONS 67 4.4 APPLICATION OF D.S.H.
FUNCTIONS TO MINIMAL D.C. REPRESENTATION 72 4.5 APPLICATION TO MINIMAL
PAIRS OF SETS 75 5 MINIMAL REPRESENTATIONS OF POLYHEDRAL FUNCTIONS 78
5.1 DEFINITIONS AND BASIC PROPERTIES 78 5.2 D.C. REPRESENTATION OF
POLYHEDRAL FUNCTIONS 83 BIBLIOGRAPHY 87 INDEX 92
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| any_adam_object | 1 |
| author | Kassa, Semu Mitiku 1968- |
| author_GND | (DE-588)124263348 |
| author_facet | Kassa, Semu Mitiku 1968- |
| author_role | aut |
| author_sort | Kassa, Semu Mitiku 1968- |
| author_variant | s m k sm smk |
| building | Verbundindex |
| bvnumber | BV017600721 |
| ctrlnum | (OCoLC)52007156 (DE-599)BVBBV017600721 |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV017600721 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:19:46Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010589143 |
| oclc_num | 52007156 |
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| owner_facet | DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-83 |
| physical | VIII, 94 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| record_format | marc |
| spelling | Kassa, Semu Mitiku 1968- Verfasser (DE-588)124263348 aut On minimal pairs of compact convex sets and of convex functions von Semu Mitiku Kassa 2002 VIII, 94 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Karlsruhe, Univ., Diss., 2002 Kompakte konvexe Menge (DE-588)4164844-4 gnd rswk-swf Optimierungsproblem (DE-588)4390818-4 gnd rswk-swf Nichtglatte Optimierung (DE-588)4120798-1 gnd rswk-swf Polytop (DE-588)4175324-0 gnd rswk-swf Konvexe Funktion (DE-588)4139679-0 gnd rswk-swf Quasidifferenzierbare Funktion (DE-588)4176636-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quasidifferenzierbare Funktion (DE-588)4176636-2 s Optimierungsproblem (DE-588)4390818-4 s DE-604 Nichtglatte Optimierung (DE-588)4120798-1 s Kompakte konvexe Menge (DE-588)4164844-4 s Konvexe Funktion (DE-588)4139679-0 s Polytop (DE-588)4175324-0 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010589143&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kassa, Semu Mitiku 1968- On minimal pairs of compact convex sets and of convex functions Kompakte konvexe Menge (DE-588)4164844-4 gnd Optimierungsproblem (DE-588)4390818-4 gnd Nichtglatte Optimierung (DE-588)4120798-1 gnd Polytop (DE-588)4175324-0 gnd Konvexe Funktion (DE-588)4139679-0 gnd Quasidifferenzierbare Funktion (DE-588)4176636-2 gnd |
| subject_GND | (DE-588)4164844-4 (DE-588)4390818-4 (DE-588)4120798-1 (DE-588)4175324-0 (DE-588)4139679-0 (DE-588)4176636-2 (DE-588)4113937-9 |
| title | On minimal pairs of compact convex sets and of convex functions |
| title_auth | On minimal pairs of compact convex sets and of convex functions |
| title_exact_search | On minimal pairs of compact convex sets and of convex functions |
| title_full | On minimal pairs of compact convex sets and of convex functions von Semu Mitiku Kassa |
| title_fullStr | On minimal pairs of compact convex sets and of convex functions von Semu Mitiku Kassa |
| title_full_unstemmed | On minimal pairs of compact convex sets and of convex functions von Semu Mitiku Kassa |
| title_short | On minimal pairs of compact convex sets and of convex functions |
| title_sort | on minimal pairs of compact convex sets and of convex functions |
| topic | Kompakte konvexe Menge (DE-588)4164844-4 gnd Optimierungsproblem (DE-588)4390818-4 gnd Nichtglatte Optimierung (DE-588)4120798-1 gnd Polytop (DE-588)4175324-0 gnd Konvexe Funktion (DE-588)4139679-0 gnd Quasidifferenzierbare Funktion (DE-588)4176636-2 gnd |
| topic_facet | Kompakte konvexe Menge Optimierungsproblem Nichtglatte Optimierung Polytop Konvexe Funktion Quasidifferenzierbare Funktion Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010589143&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kassasemumitiku onminimalpairsofcompactconvexsetsandofconvexfunctions |