Before revision:  Numerically, we design a specific splitting scheme, under which we can prove the subsequential convergence for the alternating direction method of multipliers (ADMM)  . Experimentally, we demonstrate visible improvements of L1/L2 over L1 and other nonconvex regularizations for image recovery from low-frequency measurements and two medical applications of MRI and CT reconstruction.
After revision:  Numerically, we design a specific splitting scheme, under which we can prove the subsequential convergence for the alternating direction method of multipliers (ADMM) under certain conditions . Experimentally, we demonstrate visible improvements of L1/L2 over L1 and other nonconvex regularizations for image recovery from low-frequency measurements and two medical applications of MRI and CT reconstruction.