# Path following

### From Glossary

In this context a *path* is a piecewise differentiable curve in space. The idea is to
*follow* such a path (if one exists) from some initial point to a solution. One example of a path following algorithm is the barrier penalty function, with the path created by the parameter in the solution, in where is the strict interior of the feasible region. (This is called the central path, or the path of the analytic center.)