Convex Analysis and Nonlinear Optimization
Theory and Examples
(Sprache: Englisch)
Optimization is a rich and thriving mathematical discipline. The theory underlying current computational optimization techniques grows ever more sophisticated. The powerful and elegant language of convex analysis unifies much of this theory. The aim of this...
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Produktinformationen zu „Convex Analysis and Nonlinear Optimization “
Optimization is a rich and thriving mathematical discipline. The theory underlying current computational optimization techniques grows ever more sophisticated. The powerful and elegant language of convex analysis unifies much of this theory. The aim of this book is to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. It can serve as a teaching text, at roughly the level of first year graduate students. While the main body of the textis self-contained, each section concludes with an often extensive set of optional exercises.
Inhaltsverzeichnis zu „Convex Analysis and Nonlinear Optimization “
Contents:Background
- Inequality constraints
- Fenchel duality
- Convex analysis
- Special cases
- Nonsmooth optimization
- The Karush-Kuhn-Tucker Theorem
- Fixed points
- Postscript: infinite versus finite dimensions
- List of results and notation
Bibliographische Angaben
- Autoren: Jonathan M. Borwein , Adrian S. Lewis
- 2000, X, 273 Seiten, Maße: 24,5 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 0387989404
- ISBN-13: 9780387989402
Sprache:
Englisch
Rezension zu „Convex Analysis and Nonlinear Optimization “
From the reviews: MATHEMATICAL REVIEWS "The present book gives a concise treatment of the area, aiming to show the relevance in particular of new developments in nonsmooth analysis to optimization theory...The book is of a manageable size and as such should appeal to the student. Further, the proofs are generally short and snappy, revealing the power of the abstract structural approach and fruitful interplay of geometrical and topological ideas. However, considerable ground is covered and, as a graduate text should, it develops the subject up to the frontiers of current research, giving an idea of areas for further exploration...This text will give impetus to the teaching of analysis because it makes evident its significant applications in optimization. But it will also bring added attraction to the study of optimization because it reveals so much of its abstract structural base."
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