  As Computed Tomography (CT) scans are an essential medical test, many
techniques have been proposed to reconstruct high-quality images using a
smaller amount of radiation. One approach is to employ algebraic factorization
methods to reconstruct the images, using fewer views than the traditional
analytical methods. However, their main drawback is the high computational cost
and hence the time needed to obtain the images, which is critical in the daily
clinical practice. For this reason, faster methods for solving this problem are
required. In this paper, we propose a new reconstruction method based on the QR
factorization that is very efficient on affordable equipment (standard
multicore processors and standard Solid-State Drives) by using out-of-core
techniques. Combining both affordable hardware and the new software, we can
boost the performance of the reconstructions and implement a reliable and
competitive method that reconstructs high-quality CT images quickly.
