Below I make my MATLAB codes publicly available, which can be freely used for non-commercial research purposes. The usual disclaimer on any liability in connection with the use of these codes applies.


    1. MATLAB function for matrix balancing using the Multi-Regional GRAS procedure: link

    2. MATLAB function for matrix balancing using the Generalized RAS procedure (also called bi-proportional method): link.

    3. MATLAB function for implementation of the following variants of the original or modified Denton's benchmarking method (link):

      • additive level differences

      • proportional level differences

      • additive first differences

      • proportional first differences

      • additive second differences

      • proportional second differences