Re: floats and intervals, constants, 0.1, 1e400 and Inf
On 12 Nov 2008 at 8:42, Arnold Neumaier wrote:
> Chenyi Hu schrieb:
> > We have applied midpoint-radius representations in recent work.
> > It certainly has its advantage in handling uncertainty.
>
> Could you please state the computational advantages compared
> to the inf-sup representation rather than only asserting
> their existence?
>
An important computational advantage could be the usage
of 1-2 digit precision of the radius. For a motivation see:
Van Emden, M. H., On the Significance of Digits in
Interval Notation, Reliable Computing 10, 1, 45–58.
> Clearly the representation is useful for interpreting data and results
> of an application. But this only affects conversion from and to text,
> not the arithmetic with mid-rad intervals.
On the contrary, I argue that the MR-arithmetic is simpler that the
inf-sup one. Moreover, it is valid for Kaucher/modal intervals without
any additional cost.
Svetoslav
>
> Which package do you use for mid-rad interval arithmetic?
>
>
> Arnold Neumaier
>
>
>
> >
> >>>> "Svetoslav Markov" <smarkov@xxxxxxxxxx> 11/11/2008 2:04 AM >>>
> > On 10 Nov 2008 at 13:02, Arnold Neumaier wrote:
> >
> >> Though briefly discussed, I think nobody has shown strong emotions for
> >> satandardizing mdpoint-radius interval representations.
> >> I advocate against it.
> >>
> >
> > I should like to declare myself as a strong supporter of
> > midpoint-radius interval representations.
> >
> > Svetoslav Markov
> >
> >