



^_^


> From: dwinsemius@comcast.net
> Date: Fri, 4 Nov 2011 22:02:13 -0400
> To: peter.langfelder@gmail.com
> CC: r-help@r-project.org; christian.langkamp@gmxpro.de
> Subject: Re: [R] 12th Root of a Square (Transition) Matrix
> 
> This is just one of many 12-th roots. (Peter knows this i'm sure.) The negative of this would also be an nth root, and I read that there are quite few others that arise from solutions based on permuting negatives of eigen values of a triangularized form. But as I said , I'm not a matrix mechanic, so no code for that.
> 
> -- 
> David.
> 
> On Nov 4, 2011, at 6:10 PM, Peter Langfelder <peter.langfelder@gmail.com> wrote:
> 
> > On Fri, Nov 4, 2011 at 2:37 PM, David Winsemius <dwinsemius@comcast.net> wrote:
> > 
> >> 
> >> The 12th (matrix) root of M: e^( 1/n * log(M) )
> >> 
> >>> require(Matrix)
> >>> M1.12 <- expm( (1/12)*logm(M) )
> > 
> > I like this - haven't thought of the matrix algebra functions in Matrix.
> > 
> > Thanks,
> > 
> > Peter
> 
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