In this work, we evaluate the Kaczmarz, Coordinate descent, and Cimmino algorithms together with the resolution principle as stopping criteria, using a synthetic signal model for the MAST-U fast-ion loss detector (FILD), complementing the efforts recently done for the ASDEX Upgrade FILD. The performance of these algorithms is assessed by analyzing the evolution of the reconstruction error as well as the computation time. To further assess the reliability of the reconstructions, a ‘fidelity map’ that reconstructs signals at each grid point is introduced to visualize reconstruction accuracy across velocity space. The Kaczmarz algorithm, which shows better performance in terms of accuracy, is also applied to experimental MAST-U FILD measurements of prompt fast-ion losses in an L-mode plasma heated by an on-axis neutral beam injector with 1.5 MW of input power. This algorithm demonstrates improved performance compared to 0th-order Tikhonov regularization.