Spectral Self-Concordant Barriers: A Proof of a Conjecture by Tunçel

Javier Peña, Hristo Sendov

Let $Q\subseteq {\mathbb{R}}^n$ be a open, convex, and symmetric set and let $f:Q\to \mathbb{R}$ be a $\vartheta$-self-concordant barrier function, that is also symmetric.…