svd

As the "svd" function does not do any centering of the data, could you confirm that the description of the line in figure 2 of that paper is in error?

Potential Academic Misconduct by the Euro Team « Climate Audit 2006

If you express the OLS “rotation matrix” in svd decomposition of 1, one trivially obtains the expression which is structurally quite similar to

Regression and Varimax Rotation « Climate Audit 2007

If one expands the matrix in the above expressions in terms of the svd decomposition of X , then we have

More on "Naturally Orthogonal" « Climate Audit 2007

Essentially Beltrami, Haung, and Pollack reconstruction procedure drops the smaller singular values in the svd psuedo inverse until one get a hockeystick temperature reconstruction.

NAS News and Schedule « Climate Audit 2006

RE 67, in 1997 Dr. Kevin Kilty tried, unsuccessfully to get a paper published discussing problems with borehole temperature reconstructions, mostly discussing ill conditioning of the matrix used in the svd psuedo inverse Least Square solution.

NAS News and Schedule « Climate Audit 2006

Figure 2: As figure 1, but using the grey curve is generated using the “princomp” function instead of the “svd” function, so that the data is automatically centred.

Juckes and the NOAMER PC1 « Climate Audit 2006

The way that this question is expressed suggests, among other things, that Juckes is not using a principal components algorithm to do principal components, but uses svd on data matrices an observation confirmed by inspecting the archived series.

Juckes and Covariance PCs « Climate Audit 2006

Concerning the throwing away of the smaller singular values in the svd psuedo inverse, this implies that you have a ill-conditioned matrix and you no longer have a unique answer.

NAS News and Schedule « Climate Audit 2006

In MM05b, the authors report that they were able to exactly replicate the MBH North American PC series using “svd” with standardized anomalies of the proxy data formed according to the MBH centering convention.

Juckes and Covariance PCs « Climate Audit 2006

In Zorita et al JC may 2003 which has been referenced by Mann as supporting his reconstruction, they proceed directly to annual PCs by doing a svd on the standardize yearly T matrix resulting in orthonormal PCs.

More Linear Algebra « Climate Audit 2006