# Self-concordant function

## From Wikipedia, the free encyclopedia

A **self-concordant function** is a function satisfying a certain differential inequality, which makes it particularly easy for optimization using Newton's method^{[1]}^{:āSub.6.2.4.2ā} A **self-concordant barrier** is a particular self-concordant function, that is also a barrier function for a particular convex set. Self-concordant barriers are important ingredients in interior point methods for optimization.