Transfer Fourier data and k-space mask to GPU.
Initialize necessary temporary arrays on the GPU.
Precompute outer and inner loop-independent factors.
outer loop   times:
 inner loop times:
    (4) Minimize L2 norm by direct matrix inversion.
    (5) Update solution image.
    (6) “Shrink” TV of solution.
    (7) Update Bregman parameters.
 end
  (8) Update Fourier data matrix.
  (9) Update inner loop-independent matrices.
end
(10) Transfer solution to CPU.
Algorithm 1: GPU-based Split Bregman Compressive Sensing Reconstruction.