Input:  , , , ,
      , , ;
while stopping criteria unsatisfied do
  (a) Solve sub-problem by computing (10);
  (b) Solve sub-problem by computing (12);
  (c) Solve sub-problem by computing (13);
  (d) Update Lagrangian multipliers:
     
     
     
end while
Output: final reconstructed signal .
Algorithm 1: Compressive sensing recovery via norm and schatten- norm regularization.