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.

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.

> So you are right, vectors derivatives belong to the goal, but scalar
> derivatives too and represent the first step.

Excellent, then I think "nabla" is a great name!

BR,

Jukka Zitting

---------------------------------------------------------------------
To unsubscribe, e-mail: [EMAIL PROTECTED]
For additional commands, e-mail: [EMAIL PROTECTED]

Reply via email to