Convex analysis and nonlinear optimization : theory and examples /

Bibliographic Details
Main Author:	Borwein, Jonathan M.
Corporate Author:	SpringerLink (Online service)
Other Authors:	Lewis, Adrian S.
Format:	eBook
Language:	English
Published:	New York : Springer, [2000]
Series:	CMS books in mathematics ; 3.
Subjects:	Convex functions. Mathematical optimization. Nonlinear theories. théorème point fixe. théorie non linéaire. optimisation mathématique. fonction convexe. programmation convexe. Fonctions convexes. Optimisation mathématique. Théories non linéaires. Convexe functies. Analyse (wiskunde) Niet-lineaire vergelijkingen. Optimaliseren. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

1. Background. 1.1. Euclidean Spaces. 1.2. Symmetric Matrices
2. Inequality Constraints. 2.1. Optimality Conditions. 2.2. Theorems of the Alternative. 2.3. Max-functions
3. Fenchel Duality. 3.1. Subgradients and Convex Functions. 3.2. The Value Function. 3.3. The Fenchel Conjugate
4. Convex Analysis. 4.1. Continuity of Convex Functions. 4.2. Fenchel Biconjugation. 4.3. Lagrangian Duality
5. Special Cases. 5.1. Polyhedral Convex Sets and Functions. 5.2. Functions of Eigenvalues. 5.3. Duality for Linear and Semidefinite Programming. 5.4. Convex Process Duality
6. Nonsmooth Optimization. 6.1. Generalized Derivatives. 6.2. Regularity and Strict Differentiability. 6.3. Tangent Cones.