Re: Zero or not?

[Miroslaw Kwasniak]

On Mon, Jul 23, 2007 at 01:24:03AM +0200, Francesco Potorti` wrote:
> >Ok, that's a start. If I calculate the sum of N numbers, what is the  
> >maximum 'offset' of the numerical result to mathematically correct  
> >result?
> 
> Not a numerical expert, but the error magnitude should be bounded by
> eps*sum(abs(x[1:N])).

I'm not a numerical expert ;)

I think your expression is an average error.
A bound should be like this:

   N*eps*max(abs(x))