Variable Ordering Structures in Vector Optimization
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2014
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| Schriftenreihe: | Vector Optimization
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| Schlagworte: | |
| Online-Zugang: | DE-522 DE-634 DE-Aug4 DE-M347 DE-92 DE-898 DE-859 DE-860 DE-1049 DE-861 DE-2070s DE-91 DE-384 DE-473 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract |
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 2469034 |
|---|---|
| DE-BY-UBM_katkey | 4989637 |
| DE-BY-UBM_local_url | https://doi.org/10.1007/978-3-642-54283-1 Verlag |
| _version_ | 1823055470493958144 |
| adam_text | VARIABLE ORDERING STRUCTURES IN VECTOR OPTIMIZATION
/ EICHFELDER, GABRIELE
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 VARIABLE ORDERING STRUCTURES
2 OPTIMALITY CONCEPTS AND THEIR CHARACTERIZATION
3 PROPERTIES OF CONE-VALUED MAPS
4 LINEAR SCALARIZATIONS
5 NONLINEAR SCALARIZATIONS
6 SCALARIZATION FOR VARIABLE ORDERINGS GIVEN BY BISHOP-PHELPS CONES
7 OPTIMALITY CONDITIONS
8 DUALITY RESULTS
9 NUMERICAL METHODS
10 OUTLOOK AND FURTHER APPLICATION AREAS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
VARIABLE ORDERING STRUCTURES IN VECTOR OPTIMIZATION
/ EICHFELDER, GABRIELE
: 2014
ABSTRACT / INHALTSTEXT
THIS BOOK PROVIDES AN INTRODUCTION TO VECTOR OPTIMIZATION WITH VARIABLE
ORDERING STRUCTURES, I.E., TO OPTIMIZATION PROBLEMS WITH A VECTOR-VALUED
OBJECTIVE FUNCTION WHERE THE ELEMENTS IN THE OBJECTIVE SPACE ARE
COMPARED BASED ON A VARIABLE ORDERING STRUCTURE: INSTEAD OF A PARTIAL
ORDERING DEFINED BY A CONVEX CONE, WE SEE A WHOLE FAMILY OF CONVEX
CONES, ONE ATTACHED TO EACH ELEMENT OF THE OBJECTIVE SPACE.THE BOOK
STARTS BY PRESENTING SEVERAL APPLICATIONS THAT HAVE RECENTLY SPARKED NEW
INTEREST IN THESE OPTIMIZATION PROBLEMS, AND GOES ON TO DISCUSS
FUNDAMENTALS AND IMPORTANT RESULTS ON A WIDE RANGE OF TOPICS. THE THEORY
DEVELOPED INCLUDES VARIOUS OPTIMALITY NOTIONS, LINEAR AND NONLINEAR
SCALARIZATION FUNCTIONALS, OPTIMALITY CONDITIONS OF FERMAT AND LAGRANGE
TYPE, EXISTENCE AND DUALITY RESULTS. THE BOOK CLOSES WITH A COLLECTION
OF NUMERICAL APPROACHES FOR SOLVING THESE PROBLEMS IN PRACTICE
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Eichfelder, Gabriele 1977- |
| author_GND | (DE-588)132055252 |
| author_facet | Eichfelder, Gabriele 1977- |
| author_role | aut |
| author_sort | Eichfelder, Gabriele 1977- |
| author_variant | g e ge |
| building | Verbundindex |
| bvnumber | BV041839493 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (Springer)978-3-642-54283-1 (OCoLC)880336945 (DE-599)HBZTT050427861 |
| dewey-full | 519.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.6 |
| dewey-search | 519.6 |
| dewey-sort | 3519.6 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-54283-1 |
| format | Electronic eBook |
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| id | DE-604.BV041839493 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-03T17:41:49Z |
| institution | BVB |
| isbn | 9783642542831 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027284204 |
| oclc_num | 880336945 |
| open_access_boolean | |
| owner | DE-703 DE-739 DE-1049 DE-92 DE-19 DE-BY-UBM DE-Aug4 DE-859 DE-M347 DE-898 DE-BY-UBR DE-634 DE-2070s DE-473 DE-BY-UBG DE-522 DE-861 DE-860 DE-91 DE-BY-TUM DE-384 DE-83 DE-20 |
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| physical | 1 Online-Ressource (XIII, 190 p. 41 illus) |
| psigel | ZDB-2-SMA |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Vector Optimization |
| spellingShingle | Eichfelder, Gabriele 1977- Variable Ordering Structures in Vector Optimization Mathematik Mathematics Mathematical optimization Operations research Mehrkriterielle Optimierung (DE-588)4610682-0 gnd |
| subject_GND | (DE-588)4610682-0 |
| title | Variable Ordering Structures in Vector Optimization |
| title_auth | Variable Ordering Structures in Vector Optimization |
| title_exact_search | Variable Ordering Structures in Vector Optimization |
| title_full | Variable Ordering Structures in Vector Optimization Gabriele Eichfelder |
| title_fullStr | Variable Ordering Structures in Vector Optimization Gabriele Eichfelder |
| title_full_unstemmed | Variable Ordering Structures in Vector Optimization Gabriele Eichfelder |
| title_short | Variable Ordering Structures in Vector Optimization |
| title_sort | variable ordering structures in vector optimization |
| topic | Mathematik Mathematics Mathematical optimization Operations research Mehrkriterielle Optimierung (DE-588)4610682-0 gnd |
| topic_facet | Mathematik Mathematics Mathematical optimization Operations research Mehrkriterielle Optimierung |
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