Hi, What do you mean by outer product?
If you have two vectors, say x and y, of lenght n and you define matrix A by A(i,j) = x(i)*y(j) then your matrix has rank one and it is VERY singular (in exact arithmetics). Is this is what you mean by outer product? --- On Sun, 16/8/09, Stephan Lindner <lindn...@umich.edu> wrote: > From: Stephan Lindner <lindn...@umich.edu> > Subject: [R] System is computationally singular and scale of covariates > To: r-h...@stat.math.ethz.ch > Received: Sunday, 16 August, 2009, 9:15 AM > Dear all, > > > I'm running a self-written numerical optimization routine > (hazard > model) which includes computing the inverse of the outer > product of > the score. I have been getting the above error message > ("System is > computationally singular"), and after some tweaking, I > realized that > these variables have some high numbers and the problem > could be > circumvented by scaling them down (i.e. dividing them by > 100 or taking > log). > > Since this is obviously not the best procedure, and since I > have to > estimate more complex models down the rode, I would like to > understand > better the reason which causes this problem. It is not a > multicollinearity issue (I get the error even when using > one single > variable), and I think my code is clean (better be > paranoid > though). My sense is that the outer product just becomes > large, and > these are hard to invert. Maybe there are restrictions > concering R in > the size of the numbers? If that is the case, I think I > would fare > better scaling down the outer product rather than the > variable itself, > but I first wanted to ask the community to get and > understanding of > what could be the problem. > > > Thanks a lot, > > > > Stephan Lindner > > > > > > > > > -- > ----------------------- > Stephan Lindner > University of Michigan > > ______________________________________________ > R-help@r-project.org > mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, > reproducible code. > ______________________________________________ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.