Before revision:  By using the block structure of multicomponent systems , we propose an adaptive block Bregman proximal gradient algorithm that updates each order parameter alternatively . The updating block can be chosen in a deterministic or random manner.
After revision:  By using the block structure of multicomponent systems , we propose an adaptive block Bregman proximal gradient algorithm that updates each order parameter alternatively , and the update order of blocks can be chosen in a deterministic or random manner.