On Tue, 2 Feb 2010, Prof. John C Nash wrote:

Possibly of limited use to the original poster, but of interest more generally, there are a number of tools developed in the 70s for updating the matrix decompositions. There's at least one in my 1979 book "Compact numerical methods for computers" (still in print apparently) -- we didn't have enough space to keep all the data in the HP9830A machine. If there's sufficient interest, I can probably come up with some suitable references.

The biglm package does precisely this.   It uses an incremental QR 
decomposition, based on Fortran code by Alan Miller.

      -thomas


Thomas Lumley                   Assoc. Professor, Biostatistics
[email protected]        University of Washington, Seattle

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