Fractional order log barrier interior point method

Abstract

Interior point methods are based on a trajectory construction in a feasible region, from an initial given point, being widely used for the solution of convex constrained optimization problems such as economic dispatch [3], optimum power flow [5], loss minimization, fitting curves [2] and many others. One of the limitations of Newton’s method for minimizing convex functions is that we cannot deal with inequality constraints, however, the log barrier method is a way to address this issue. [...]