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Variable Ordering Structures in Vector Optimization
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Colección: | Vector Optimization,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-642-54283-1 | ||
| 003 | DE-He213 | ||
| 005 | 20220111071331.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 140404s2014 gw | s |||| 0|eng d | ||
| 020 | |a 9783642542831 |9 978-3-642-54283-1 | ||
| 024 | 7 | |a 10.1007/978-3-642-54283-1 |2 doi | |
| 050 | 4 | |a QA402.5-402.6 | |
| 072 | 7 | |a PBU |2 bicssc | |
| 072 | 7 | |a MAT003000 |2 bisacsh | |
| 072 | 7 | |a PBU |2 thema | |
| 082 | 0 | 4 | |a 519.6 |2 23 |
| 100 | 1 | |a Eichfelder, Gabriele. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Variable Ordering Structures in Vector Optimization |h [electronic resource] / |c by Gabriele Eichfelder. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2014. | |
| 300 | |a XIII, 190 p. 41 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Vector Optimization, |x 1867-898X | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Operations research. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 1 | 4 | |a Optimization. |
| 650 | 2 | 4 | |a Operations Research and Decision Theory. |
| 650 | 2 | 4 | |a Applications of Mathematics. |
| 650 | 2 | 4 | |a Continuous Optimization. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642542848 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642542824 |
| 776 | 0 | 8 | |i Printed edition: |z 9783662525517 |
| 830 | 0 | |a Vector Optimization, |x 1867-898X | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-54283-1 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||