Fejér-monotone hybrid steepest descent method for affinely constrained and composite convex minimization tasks
Fejér-monotone hybrid steepest descent method for affinely constrained and composite convex minimization tasks
This paper introduces the Fejér-monotone hybrid steepest descent method (FM-HSDM), a new member to the HSDM family of algorithms, for solving affinely constrained minimization tasks in real Hilbert spaces, where convex smooth and non-smooth losses compose the objective function. FM-HSDM offers sequences of estimates which converge weakly and, under certain …