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From: | Ben Abbott |
Subject: | Re: Polyfit with scaling |
Date: | Sun, 3 Feb 2008 20:41:55 -0500 |
On Feb 3, 2008, at 7:50 PM, Dmitri A. Sergatskov wrote: On Feb 3, 2008 6:20 PM, Ben Abbott <address@hidden> wrote:Give these results and the need to remain compatible with past expectations,and with Matlab, I'm inclined to make both QR and normalization optional. Regarding leaving things as they are, the normalization is not something I'd expect most users to desire to handle for themselves. However we might either provide for optional normalization, or provide the routines to do so. Regarding how Matlab handles this benchmark here are the results. Matlab N M norm(y-yfit) norm(p-fit) 1 2 2.542114973e-13 2.955859084e-12 1 3 3.410605132e-13 1.693934712e-11 2 3 1.028152284e-09 1.323761177e-06 2 4 4.440674381e-10 3.319473118e-06 2 5 4.939083810e-10 4.947078972e-06 3 4 2.189135306e-06 5.694889319e+00 3 5 1.099055345e-06 2.955133100e+00 3 6 7.348554138e-07 3.296905699e+00 3 7 1.217871795e-06 5.411753547e+00 4 5 1.196039913e-03 2.780029492e+06 4 6 2.441406250e-03 9.003165440e+05 4 7 3.895778546e-03 4.993247502e+06 4 8 3.054689407e-03 5.591453444e+05 4 9 1.708984375e-03 3.790911374e+05 Matlab's results appear consistent with QR without normalization. Ben |
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