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Vector Optimization with Infimum and Supremum by Andreas Lohne (Hardback, 2011)
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item 1 - Vector Optimization With Infimum and Supremum Lohne, Andreas
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About this product
Description
- DescriptionThe theory of Vector Optimization is developed by a systematic usage of infimum and supremum. In order to get existence and appropriate properties of the infimum, the image space of the vector optimization problem is embedded into a larger space, which is a subset of the power set, in fact, the space of self-infimal sets. Based on this idea we establish solution concepts, existence and duality results and algorithms for the linear case. The main advantage of this approach is the high degree of analogy to corresponding results of Scalar Optimization. The concepts and results are used to explain and to improve practically relevant algorithms for linear vector optimization problems.
Key Features
- Author(s)Andreas Lohne
- PublisherSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
- Date of Publication27/05/2011
- LanguageEnglish
- FormatHardback
- ISBN-103642183506
- ISBN-139783642183508
- SubjectMathematics
- Series TitleVector Optimization
Publication Data
- Place of PublicationBerlin
- Country of PublicationGermany
- ImprintSpringer-Verlag Berlin and Heidelberg GmbH & Co. K
- Content Notebiography
Dimensions
- Weight491 g
- Width156 mm
- Height234 mm
- Spine14 mm
Editorial Details
- Format DetailsLaminated cover
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