#17728: Infinity norm of real interval vectors
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Reporter: f.poloni | Owner:
Type: PLEASE CHANGE | Status: new
Priority: major | Milestone: sage-6.5
Component: linear algebra | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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As documented in
http://www.sagemath.org/doc/reference/rings_numerical/sage/rings/real_mpfi.html#sage.rings.real_mpfi.RealIntervalFieldElement.max,
`max(I,J)` does not do the correct thing for real intervals, and
`I.max(J)` has to be used instead.
When computing the infinity norm of a vector of real intervals, the wrong
version of `max` gets used, though:
{{{
sage: x = RIF(1,2)
sage: y = RIF(0,4)
sage: print "Wrong max: ", max(x,y).endpoints()
Wrong max: (1.00000000000000, 2.00000000000000)
sage: print "Correct max: ", x.max(y).endpoints()
Correct max: (1.00000000000000, 4.00000000000000)
sage:
sage: v = vector([x,y])
sage: print "Computed infinity norm: ", v.norm(Infinity).endpoints()
Computed infinity norm: (1.00000000000000, 2.00000000000000)
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/17728>
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