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Re: FindRoots?

• To: mathgroup at smc.vnet.net
• Subject: [mg112333] Re: FindRoots?
• From: Andrzej Kozlowski <akozlowski at gmail.com>
• Date: Thu, 9 Sep 2010 05:31:32 -0400 (EDT)

On 9 Sep 2010, at 09:50, Ingolf Dahl wrote:

> To Andrzej Kozlowski and MathGroup,
>
> However, in order to implement the Semenov method and to obtain provable
> results, you state that there are "certain mild conditions" that must be
> fulfilled. These conditions seem to be that the program needs to obtain
> explicit and valid upper bounds for the first and second derivatives. The
> task to find these bounds cannot be automated in a provable way in the
> general case, so one problem has effectively been replaced by another. One
> could put the responsibility to solve this second problem on the user, but I
> cannot see such a solution as superior.

This tasks *is* automated in Mathematica.  The function Interval does it for you.

Andrzej Kozlowski