Convex Optimization · Problem 2.5

Convex functions — Boyd & Vandenberghe

Mathematics — Optimization · distance-between-parallel-hyperplanes

Problem

What is the distance between two parallel hyperplanes

\{x \in \mathbf{R}^n \mid a^T x = b_1\}

and

\{x \in \mathbf{R}^n \mid a^T x = b_2\}