Convex Analysis and Nonlinear Optimization: Theory and Examples
Springer Science & Business Media, Nov 30, 2005 - Mathematics - 310 pages
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 text is self-contained, each section concludes with an often extensive set of optional exercises. The new edition adds material on semismooth optimization, as well as several new proofs that will make this book even more self-contained.
Results 1-5 of 5
Sorry, this page's content is restricted.
Regular points of Lipschitz functions. Transactions of the American Mathematical
Society, 251:61-69, 1979. ... In P. Serafini, editor, Mathematics of Multi Objective
Optimization, pages 45-88. Springer- Verlag, Vienna, 1985. 105] J. Jahn.
Doklady Akademia Nauk BSSR (Belorussian Academy of Sciences), 24:684-687,
1980.  H.W. Kuhn and A.W. Tucker. Nonlinear programming. In Proceedings
of the Second Berkeley Symposium on Mathematical Statistics and Probability.
Journal of Mathematical Analysis and Applications, 17:37- 47, 1967. A.W.
Marshall and I. Olkin. Inequalities: Theory of Majorization and Its Applications.
Academic Press, New York, 1979. M. Matic, C.E.M. Pearce, and J. Pecaric.
Transactions of the American Mathematical Society, 340:1-35, 1993. J. -J.
Moreau. Sur la fonction polaire d'une fonction semi-continue superieurement.
Comptes Rendus de I'Academie des Sciences de Paris, 258:1128-1130, 1964. J.
What people are saying - Write a review
Chapter 2 Inequality Constraints
Chapter 3 Fenchel Duality
Chapter 4 Convex Analysis
Chapter 5 Special Cases
Chapter 6 Nonsmooth Optimization
Chapter 7 KarushKuhnTucker Theory
Chapter 8 Fixed Points