A Smoothed -Norm and -Norm Regularization Algorithm for Computed Tomography

Algorithm 1

Calculation process of regularization algorithm (-norm and -norm regularization algorithm).

input

initialize

while

1. update by the NADA

  1.1. decent direction

  1.2. step size such that

  1.3. update

  1.4. compute such that

2. update

  for to

  2.1. set

  2.2. if then

    else

     select an initial guess from Theorem 4

     find a zero of in (30) by Newton’s iterations

    end if

  end for

3. update

4. if then exit

5. update

end while

output and