Foundations of Mathematical Optimization: Convex Analysis without Linearity: 388 - Rilegato

Rolewicz, S.; Pallaschke, Diethard Ernst

 
9780792344247: Foundations of Mathematical Optimization: Convex Analysis without Linearity: 388
Rilegato
ISBN 10: 0792344243 ISBN 13: 9780792344247
Casa editrice: Springer-Verlag GmbH, 1997

Sinossi

Many books on optimization consider only finite dimensional spaces. This volume is unique in its emphasis: the first three chapters develop optimization in spaces without linear structure, and the analog of convex analysis is constructed for this case. Many new results have been proved specially for this publication. In the following chapters optimization in infinite topological and normed vector spaces is considered. The novelty consists in using the drop property for weak well-posedness of linear problems in Banach spaces and in a unified approach (by means of the Dolecki approximation) to necessary conditions of optimality. The method of reduction of constraints for sufficient conditions of optimality is presented. The book contains an introduction to non-differentiable and vector optimization.
Audience: This volume will be of interest to mathematicians, engineers, and economists working in mathematical optimization.

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Contenuti

Preface. 1. General Optimality. 2. Optimization in Metric Spaces. 3. Multifunctions and Marginal Functions in Metric Spaces. 4. Well-Posedness and Weak Well-Posedness in Banach Spaces. 5. Duality in Banach and Hilbert Spaces. Regularization. 6. Necessary Conditions for Optimality and Local Optimality in Normed Spaces. 7. Polynomials. Necessary and Sufficient Conditions of Optimality of Higher Order. 8. Nondifferentiable Optimization. 9. Numerical Aspects. 10. Vector Optimization. Bibliography. Subject Index. Author Index. List of Symbols.

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Editore
Springer-Verlag GmbH
Data di pubblicazione
1997
Lingua
Inglese
ISBN 10 
0792344243
ISBN 13 
9780792344247
Rilegatura
Copertina rigida
Numero di pagine
604
Contatto del produttore
non disponibile
Persona responsabile
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

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Heidelberg
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Germania

Altre edizioni note dello stesso titolo

9789048148004: Foundations of Mathematical Optimization: Convex Analysis without Linearity: 388

Edizione in evidenza

ISBN 10:  9048148006 ISBN 13:  9789048148004
Casa editrice: Springer, 2010
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