Re: overflow question
Arnold et al,
On 05/10/2012 05:17 AM, Arnold Neumaier wrote:
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.
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But this midpoint is useless. Your bisection algorithm will
spend most time exploring a tiny neighborhood of infinity.
Ah, yes. That is certainly a valid point of view if the
function, say, has a limit or a solution at infinity; in
such cases, the best solution to the user's problem
might be for the person posing
the problem to map the domain into a finite, closed
interval, with one end point corresponding to infinity.
In that context, bisecting a semi-infinite interval at
MAXREAL is like producing an interval whose end points
are consecutive floating point numbers.
Baker
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