John Cremona wrote:
> I have just been to a colloquium talk by numerical analyst Nick Higham
> (Manchester) called "How to compute and not to compute a matrix
> exponential".  He has new methods which are now in mathematica, matlab
> and NAG but (apparantly) nowhere else.  He only seemed interested in
> getting good speed & precision to 16 decimals but (when I asked)
> confirmed that the methods should apply to give arbitrary precision.
> 
> I just checked and see that Sage's  matrix exp() uses something stupid
> except over RDF/CDF where it uses a pade approximation method via
> numpy.  The method of the talk was a variant of that, the main trick
> being to use exactly the right order of Pade approx. so maximise
> precision and speed.
> 
> I would like to know how good the numpy method is, and  whether it can
> be improved to this "state of the art" version at least for RDF.  Then
> it could be another selling point for Sage.


Could you CC the numpy devlist as well on this?  It sounds exciting!

Jason


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