Improved Qrginv Algorithm for Computing Moore-Penrose Inverse Matrices

Table 4

Error and computational time results for gearmat (rank = 199, cond = 1.8074𝑒+016).

Method	Time	‖𝐴𝐴^†𝐴−𝐴‖2	‖𝐴^†𝐴𝐴^†−𝐴^†‖2	‖(𝐴𝐴^†)^𝑇−(𝐴𝐴^†)‖2	‖(𝐴^†𝐴)^𝑇−(𝐴^†𝐴)‖2
qrginv	0.0377	4.6584𝑒−015	3.0532𝑒−013	1.1996𝑒−013	2.1253𝑒−014
IMqrginv	0.0165	2.8959𝑒−015	3.3357𝑒−013	7.7888𝑒−014	2.1380𝑒−014