  With the availability of more powerful computers, iterative reconstruction
algorithms are the subject of an ongoing work in the design of more efficient
reconstruction algorithms for X-ray computed tomography. In this work, we show
how two analytical reconstruction algorithms can be improved by correcting the
corresponding reconstructions using a randomized iterative reconstruction
algorithm. The combined analytical reconstruction followed by randomized
iterative reconstruction can also be viewed as a reconstruction algorithm
which, in the experiments we have conducted, uses up to $35\%$ less projection
angles as compared to the analytical reconstruction algorithms and produces the
same results in terms of quality of reconstruction, without increasing the
execution time significantly.
