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Foundations of Mathematical Optimization: Convex Analysis without Linearity (Mathematics and Its Applications, 388) - Hardcover

 
9780792344247: Foundations of Mathematical Optimization: Convex Analysis without Linearity (Mathematics and Its Applications, 388)

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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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  • PublisherSpringer
  • Publication date1997
  • ISBN 10 0792344243
  • ISBN 13 9780792344247
  • BindingHardcover
  • LanguageEnglish
  • Number of pages597

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9789048148004: Foundations of Mathematical Optimization: Convex Analysis without Linearity (Mathematics and Its Applications)

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S. Rolewicz, Diethard Ernst Pallaschke
Published by Springer Netherlands, 1997
ISBN 10: 0792344243 ISBN 13: 9780792344247
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S. Rolewicz, Diethard Ernst Pallaschke
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Condition: Gut. Zustand: Gut - Gebrauchs- und Lagerspuren. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 604 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 3029038/203

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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 604 pp. Englisch. Seller Inventory # 9780792344247

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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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. M. Seller Inventory # 5968019

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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9780792344247

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