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Convexity and Optimization in Banach Spaces
Buch von Teodor Precupanu (u. a.)
Sprache: Englisch

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Beschreibung
An updated and revised edition of the 1986 title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces. The main emphasis is on applications to convex optimization and convex optimal control problems in Banach spaces. A distinctive feature is a strong emphasis on the connection between theory and application.

This edition has been updated to include new results pertaining to advanced concepts of subdifferential for convex functions and new duality results in convex programming. The last chapter, concerned with convex control problems, has been rewritten and completed with new research concerning boundary control systems, the dynamic programming equations in optimal control theory and periodic optimal control problems.

Finally, the structure of the book has been modified to highlight the most recent progression in the field including fundamental results on the theory of infinite-dimensional convex analysis and includes helpful bibliographical notes at the end of each chapter.
An updated and revised edition of the 1986 title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces. The main emphasis is on applications to convex optimization and convex optimal control problems in Banach spaces. A distinctive feature is a strong emphasis on the connection between theory and application.

This edition has been updated to include new results pertaining to advanced concepts of subdifferential for convex functions and new duality results in convex programming. The last chapter, concerned with convex control problems, has been rewritten and completed with new research concerning boundary control systems, the dynamic programming equations in optimal control theory and periodic optimal control problems.

Finally, the structure of the book has been modified to highlight the most recent progression in the field including fundamental results on the theory of infinite-dimensional convex analysis and includes helpful bibliographical notes at the end of each chapter.
Zusammenfassung

This book provides a strong emphasis on the link between abstract theory and applications to convex optimization

Chapters end with an informative 'bibliographic notes' section for further reading

Includes fundamental results of infinite-dimensional convex analysis

Includes supplementary material: [...]

Inhaltsverzeichnis

Fundamentals of Functional Analysis.- Convex Functions.- Convex Programming.- Convex Control Problems in Banach Spaces.

Details
Erscheinungsjahr: 2012
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 380
Reihe: Springer Monographs in Mathematics
Inhalt: xii
368 S.
ISBN-13: 9789400722460
ISBN-10: 940072246X
Sprache: Englisch
Herstellernummer: 80074964
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Precupanu, Teodor
Barbu, Viorel
Auflage: 4th ed. 2012
Hersteller: Springer Netherland
Springer Netherlands
Springer Monographs in Mathematics
Maße: 241 x 160 x 26 mm
Von/Mit: Teodor Precupanu (u. a.)
Erscheinungsdatum: 03.01.2012
Gewicht: 0,735 kg
preigu-id: 106857261
Zusammenfassung

This book provides a strong emphasis on the link between abstract theory and applications to convex optimization

Chapters end with an informative 'bibliographic notes' section for further reading

Includes fundamental results of infinite-dimensional convex analysis

Includes supplementary material: [...]

Inhaltsverzeichnis

Fundamentals of Functional Analysis.- Convex Functions.- Convex Programming.- Convex Control Problems in Banach Spaces.

Details
Erscheinungsjahr: 2012
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 380
Reihe: Springer Monographs in Mathematics
Inhalt: xii
368 S.
ISBN-13: 9789400722460
ISBN-10: 940072246X
Sprache: Englisch
Herstellernummer: 80074964
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Precupanu, Teodor
Barbu, Viorel
Auflage: 4th ed. 2012
Hersteller: Springer Netherland
Springer Netherlands
Springer Monographs in Mathematics
Maße: 241 x 160 x 26 mm
Von/Mit: Teodor Precupanu (u. a.)
Erscheinungsdatum: 03.01.2012
Gewicht: 0,735 kg
preigu-id: 106857261
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