Improved Qrginv Algorithm for Computing Moore-Penrose Inverse Matrices

Table 5

Error and computational time results for kahan (rank = 199, cond = 1.9055𝑒+024).

Method	Time	‖𝐴𝐴^†𝐴−𝐴‖2	‖𝐴^†𝐴𝐴^†−𝐴^†‖2	‖(𝐴𝐴^†)^𝑇−(𝐴𝐴^†)‖2	‖(𝐴^†𝐴)^𝑇−(𝐴^†𝐴)‖2
qrginv	0.0279	1.9877𝑒−005	4.1177𝑒−009	8.8330𝑒−001	5.4162𝑒−014
IMqrginv	0.0099	1.9877𝑒−005	3.8389𝑒−009	8.8330𝑒−001	1.0398𝑒−014