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# Tag Archives: convex geometry

## Brunn-Minkowski, Prékopa-Leindler, and isoperimetry

Found a great overview of the subject with a lot of insight. Another brief intro is here.

## ‘Shear’ convex polyhedra: solution

Here I describe the solution to the problem from the last post. Spoilers!

## ‘Shear’ convex polyhedra

I came up with what seems quite a beautiful geometric construction solving the problem described below. On a compact convex set consider the function where we denote In other words, “hanging” in the point we measure the “width” of the … Continue reading

## Projection on a convex set is closer to any point of the set

A useful little fact for constrained optimization. Let be a convex set, and consider and its projection on As quickly follows from the separation theorem with hyperplane containing for any the angle between and is obtuse. … Continue reading

Posted in Convex Optimization, Course on Convex Optimization, Memos
Tagged convex geometry
3 Comments