Improved Qrginv Algorithm for Computing Moore-Penrose Inverse Matrices

Table 7

Error and computational time results for prolate (rank = 117, cond = 4.7489𝑒+017).

Method	Time	‖𝐴𝐴^†𝐴−𝐴‖2	‖𝐴^†𝐴𝐴^†−𝐴^†‖2	‖(𝐴𝐴^†)^𝑇−(𝐴𝐴^†)‖2	‖(𝐴^†𝐴)^𝑇−(𝐴^†𝐴)‖2
qrginv	0.0276	1.3837𝑒−006	1.2998𝑒−007	4.7715𝑒−002	4.7317𝑒−011
IMqrginv	0.0138	1.3837𝑒−006	1.1842𝑒−007	4.7715𝑒−002	4.7401𝑒−011