Variable Ordering Structures in Vector Optimization

Name: Variable Ordering Structures in Vector Optimization
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642542824
Price: 50.07 EUR
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Autor: Gabriele Eichfelder

Jazyk:

Väzba: Pevná

Vydavateľ: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

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This book provides an introduction to vector optimization with variable ordering structures, i.e., t...

Informácie o knihe

Autor

Gabriele Eichfelder

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2014

Stránok

190

EAN

9783642542824

ISBN

3642542824

Enbook ID

02433210

Vydavateľ

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnosť

4321

Rozmery

155 x 235 x 17

Kompletný popis

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.

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Variable Ordering Structures in Vector Optimization

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