Re: quadratic equation with interval coefficients Dear Arnold,

the solution  of a single quadratic equation in one variable
with interval coefficients has been discussed in detail in
Section 4 of the paper:

  N. S. Dimitrova,  S.  M.  Markov.  Ueber die
intervall-arithmetische Berechnung des Wertebereichs einer Funktion
mit Anwendungen, Freiburger Intervall-Berichte, Univ.  Freiburg, 81/4
(1981), 1--22.

Svetoslav Markov


On 3 Jan 2005 at 20:08, Arnold Neumaier wrote:

> Is there a complete discussion in the literature of the solution
> of a single quadratic equation in one variable,
> with interval coefficients? Perhaps even an implementation
> that computes a correctly rounded enclosure for the solution set?
> 
> I worked out a solution myself, but this problem is so natural
> that it was probably treated before.
> 
> 
> Arnold Neumaier
> 

 

