For example, here's Y:

Y =

  -0.278098  -0.256438   0.127559  -0.045869  -0.769172  -0.255599
0.150450  -0.436548   0.209881  -0.526238
   0.613175  -0.600739  -0.291662  -1.142282   0.277204  -0.296846
-0.175122   0.031656  -0.202138  -0.254480
  -0.187816  -0.889571   0.052191  -0.304053   0.498097  -0.049822
-0.972282  -0.240532   0.155711  -0.627668
  -0.065179  -0.055424   0.977480   0.104342   0.594501   0.033205
-0.896222  -0.345715  -0.371288  -0.489602
  -0.434807  -0.403650   0.264583  -0.110285  -1.318951  -0.452470
0.274445  -0.755704   0.313150  -0.903234

and R from the QR decomposition of Y' * Y:

R =

   2.56259  -1.35164  -2.43837   1.27844  -0.17692  -0.30514   1.09366
 -0.84664   0.58601   1.06875
   0.00000   1.03316   2.61600  -0.46070  -1.46785  -0.10841   0.24828
 -2.32186  -2.00163  -0.71470
   0.00000   0.00000   2.11507   1.15523   1.10757   0.36407  -0.31567
  2.77361   0.77367  -0.84055
   0.00000   0.00000   0.00000   0.54242  -0.01545   0.21761   0.26630
  0.13972   0.44089   0.02783
   0.00000   0.00000   0.00000   0.00000   0.00000  -0.00000  -0.00000
  0.00000   0.00000  -0.00000
   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000
 -0.00000   0.00000   0.00000
   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000
  0.00000   0.00000  -0.00000
   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000
  0.00000   0.00000  -0.00000
   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000
  0.00000   0.00000   0.00000
   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000
  0.00000   0.00000   0.00000


Separately I tried avoiding the inverse altogether here and just using
the QR decomposition to solve a system where necessary. Probably a
better move anyway. But same result. I think I'm not really
quantifying the problem properly, but it's not really a matter of
condition number or machine precision. Condition numbers are >1 in
these cases but not that large.


On Sun, Apr 7, 2013 at 12:19 AM, Koobas <[email protected]> wrote:
> I don't see why the inverse of Y'*Y does not exist.
> What Y do you end up with?

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