On Sep 23, 1:26 pm, Jason Grout <[EMAIL PROTECTED]> wrote:
> To me, it looks like it may be a bug:
>
> sage: A=matrix([[1,1],[2,3]])
> sage: e1,e2=A.eigenvalues()
> sage: e1.interval(ComplexIntervalField(53))
> 0.2679491924311228?
> sage: b=e1.interval(ComplexIntervalField(53))
> sage: b
> 0.2679491924311228?
> sage: b.str(style='brackets')
> '[0.26794919243112269 .. 0.26794919243112276]'
>
> The question mark notation indicates that this last interval (the "real"
> interval) should lie inside of
>
> [0.2679491924311227 .. 0.2679491924311229]
>
> But it doesn't seem to lie in that range.
>
> Carl, what do you think?

Yes, the above sure looks like a bug to me.

I'll try to look at it sometime this week (over the weekend, if not
sooner).

Carl

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