Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information ...

Financial executive pay is a convex function of profits if recipients get a greater increment in pay when returns are high as opposed to moderate, compared with when returns are moderate as opposed to ...

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

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 ...

Convex Function: A function defined on an interval or convex set such that the line segment between any two points on its graph lies above or on the graph, ...