Faster accelerated alternating direction method of multipliers

In this paper, by implanting the classical Gauss-Seidel method into the Fast ADMM method, we propose the faster accelerated alternating direction method of multipliers (F-AADMM) to solve the convex optimization problem, and discuss the convergence property and convergence rate of the F-AADMM method. Numerical experiments are provided to show the performance of the F-AADMM method.