Course Description This course discusses basic convex analysis (convex sets, functions, and optimization problems), optimization theory (linear, quadratic, semidefinite, and geometric programming; ...

Technical Terms Convex Geometry: The study of convex sets and functions, focusing on properties and structural aspects that are pivotal in optimisation and computational mathematics.

Students will understand the fundamental properties of convex sets and functions Students will understand the central role of convexity in optimization Students will learn the basic mechanisms that ...

Walter Briec, Kristiaan Kerstens, Philippe Vanden Eeckaut, Non-convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity, Journal of Economics, Vol. 81, No. 2 ...

D. J. Hallenbeck, Convex Hulls and Extreme Points of Some Families of Univalent Functions, Transactions of the American Mathematical Society, Vol. 192 (May, 1974), pp. 285-292 ...

Optimization without calculus; geometric programming; convex sets and convex functions; review of linear algebra; linear programming and the simplex method; convex programming; iterative ...

Inhalt: In this course we will study some basic concepts of Convex and Integral Geometry and at the end we will get in touch with a few classical results from Stochastic geometry. In the first part of ...