On Mon, Apr 14, 2008 at 3:35 PM, Jukka Zitting <[EMAIL PROTECTED]> wrote: > Hi, > > > On Mon, Apr 14, 2008 at 9:27 PM, Luc Maisonobe <[EMAIL PROTECTED]> wrote: > > Derivatives are computed by applying the classical exact differentiation > > rules ((f*g)' = f'*g + f*g' and friends) and by using the exact derivatives > > of all Math and StrictMath methods (including acosh, asinh and atanh which > > are still not available in current versions of Java). The results are as > > accurate as machine precision and errors propagation allow. That is to say > > the derivative is computed with an accuracy that is tightly related to the > > accuracy of the original function.
Interesting from a numerics standpoint, though I guess straightforward when you think about it. More interesting when you consider that the original may itself be an approximation. > > OK, thanks for the details. I'm still not sure about the impact on > error propagation, which often works in surprising ways especially for > complex functions, but it sounds like you're already getting some good > results. Also, have you thought about how to handle branch and loop > structures within a function? > > > > This part does work and the existing results show it. You will see them as > > soon as I can upload the project somewhere. > > Sounds great! I'm looking forward to checking it out. > Me too, *nudge, nudge* :) Phil --------------------------------------------------------------------- To unsubscribe, e-mail: [EMAIL PROTECTED] For additional commands, e-mail: [EMAIL PROTECTED]
