Fundamentals of Convex Analysis: Duality, Separation, Representation, and Resolution
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0. Preface. 1. Preliminary Mathematics. 2. Convex Sets in R n . 3. Separation and Support Theorems. 4. Convex Cones in R n . 5. Existence Theorems for Linear Systems. 6. Theorems of the Alternative for Linear Systems. 7. Basic Solutions and Complementary Slackness in Pairs of Dual Systems. 8. Extreme Points and Directions for Convex Sets. 9. Simplicial Topology and Fixed Point Theorems. References. Notation Index. Index.
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