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The Resource Variable ordering structures in vector optimization, Gabriele Eichfelder

Variable ordering structures in vector optimization, Gabriele Eichfelder

Label
Variable ordering structures in vector optimization
Title
Variable ordering structures in vector optimization
Statement of responsibility
Gabriele Eichfelder
Creator
Author
Subject
Language
eng
Summary
This book provides an introduction to vector optimization with variable ordering structures, id est, 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
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Eichfelder, Gabriele
Dewey number
519.3
Index
no index present
LC call number
QA402.5
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Vector optimization
http://library.link/vocab/subjectName
  • Mathematical optimization
  • Vector analysis
  • MATHEMATICS
  • MATHEMATICS
  • Science économique
  • Affaires
  • Mathematical optimization
  • Vector analysis
Label
Variable ordering structures in vector optimization, Gabriele Eichfelder
Instantiates
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
876911611
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783642542824
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-54283-1
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)876911611
Label
Variable ordering structures in vector optimization, Gabriele Eichfelder
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
876911611
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783642542824
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-54283-1
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)876911611

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