Convexity and Optimization in Banach Spaces

Buch | Hardcover
368 Seiten
2012 | 4th ed. 2012
Springer (Verlag)
978-94-007-2246-0 (ISBN)

Lese- und Medienproben

Convexity and Optimization in Banach Spaces - Viorel Barbu, Teodor Precupanu
139,09 inkl. MwSt
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.

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

Reihe/Serie Springer Monographs in Mathematics
Zusatzinfo XII, 368 p.
Verlagsort Dordrecht
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Finanz- / Wirtschaftsmathematik
Schlagworte Banach spaces • convex function • convex set • Duality theory • optimal control problem • subdifferential
ISBN-10 94-007-2246-X / 940072246X
ISBN-13 978-94-007-2246-0 / 9789400722460
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich

von Tilo Arens; Frank Hettlich; Christian Karpfinger …

Buch (2022)
Springer Spektrum (Verlag)
79,99