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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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Foundations of Mathematical Optimization
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Condizione: 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. Codice articolo 5818662
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Foundations of Mathematical Optimization
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Springer Netherlands Dez 2010, 2010
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ISBN 13: 9789048148004
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Taschenbuch. Condizione: 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. 600 pp. Englisch. Codice articolo 9789048148004
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Foundations of Mathematical Optimization: Convex Analysis without Linearity (Mathematics and Its Applications)
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Foundations of Mathematical Optimization
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Springer Netherlands, Springer Netherlands Dez 2010, 2010
ISBN 10: 9048148006
ISBN 13: 9789048148004
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 600 pp. Englisch. Codice articolo 9789048148004
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Foundations of Mathematical Optimization : Convex Analysis without Linearity
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Springer Netherlands, Springer Netherlands, 2010
ISBN 10: 9048148006
ISBN 13: 9789048148004
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Taschenbuch. Condizione: 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. Codice articolo 9789048148004
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Foundations of Mathematical Optimization: Convex Analysis without Linearity (Mathematics and Its Applications)
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Foundations of Mathematical Optimization: Convex Analysis without Linearity (Mathematics and Its Applications)
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