On convex bodies and some applications to optimization
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| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Frankfurt am Main
Hain
1990
|
| Schriftenreihe: | Mathematical systems in economics
119 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a On convex bodies and some applications to optimization |
| 264 | 1 | |a Frankfurt am Main |b Hain |c 1990 | |
| 300 | |a VI, 46 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical systems in economics |v 119 | |
| 650 | 4 | |a Convex bodies | |
| 650 | 4 | |a Convex sets | |
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| 830 | 0 | |a Mathematical systems in economics |v 119 |w (DE-604)BV000000691 |9 119 | |
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Datensatz im Suchindex
| _version_ | 1819689812404207616 |
|---|---|
| adam_text | Contents
Preßice 1
1. Known and less known facts on convex sets 3
1.1 The cone of nonempty convex compact sets 3
1.2 Sublinear functions 4
1.3 Blaschke s Selection Theorem and dense subsets of o$ (Rn) 1
1.4 The cone of convex bodies 8
1.5 Mixed volumes and area functions of convex bodies 9
2. Ordering relations on the cone of convex bodies 15
2.1A necessary and suffident condition for inclusion 15
2.2 Summands of convex bodies ^
3. Nonsmooth optimization and quasidifferentiable functions 25
3.1 Directionally differentiable functions 25
3.2 The Hörmander Rädström lattice of convex compact sets 28
3.3 Quasidifferentiable functions 30
3.4 Minimal Quasidifferentials 31
4. Appendix 1:
Sublinear functions as continuous functions on the sphere 35
5. Appendix 2:
Minimal pairs of convex compact sets in Hausdorff topological vector Spaces 41
References ^
|
| any_adam_object | 1 |
| author | Scholtes, Stefan 1960- |
| author_GND | (DE-588)170951510 |
| author_facet | Scholtes, Stefan 1960- |
| author_role | aut |
| author_sort | Scholtes, Stefan 1960- |
| author_variant | s s ss |
| building | Verbundindex |
| bvnumber | BV004068543 |
| callnumber-first | Q - Science |
| callnumber-label | QA649 |
| callnumber-raw | QA649 |
| callnumber-search | QA649 |
| callnumber-sort | QA 3649 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | QH 420 |
| ctrlnum | (OCoLC)25085915 (DE-599)BVBBV004068543 |
| dewey-full | 516.08 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.08 |
| dewey-search | 516.08 |
| dewey-sort | 3516.08 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV004068543 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-23T11:08:16Z |
| institution | BVB |
| isbn | 3445098220 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002544254 |
| oclc_num | 25085915 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-521 DE-83 DE-188 |
| owner_facet | DE-12 DE-384 DE-521 DE-83 DE-188 |
| physical | VI, 46 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Hain |
| record_format | marc |
| series | Mathematical systems in economics |
| series2 | Mathematical systems in economics |
| spellingShingle | Scholtes, Stefan 1960- On convex bodies and some applications to optimization Mathematical systems in economics Convex bodies Convex sets Konvexer Körper (DE-588)4165214-9 gnd Nichtglatte Optimierung (DE-588)4120798-1 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4165214-9 (DE-588)4120798-1 (DE-588)4043664-0 |
| title | On convex bodies and some applications to optimization |
| title_auth | On convex bodies and some applications to optimization |
| title_exact_search | On convex bodies and some applications to optimization |
| title_full | On convex bodies and some applications to optimization |
| title_fullStr | On convex bodies and some applications to optimization |
| title_full_unstemmed | On convex bodies and some applications to optimization |
| title_short | On convex bodies and some applications to optimization |
| title_sort | on convex bodies and some applications to optimization |
| topic | Convex bodies Convex sets Konvexer Körper (DE-588)4165214-9 gnd Nichtglatte Optimierung (DE-588)4120798-1 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Convex bodies Convex sets Konvexer Körper Nichtglatte Optimierung Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002544254&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000691 |
| work_keys_str_mv | AT scholtesstefan onconvexbodiesandsomeapplicationstooptimization |