#19964: tight complex interval inverse
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Reporter: mmarco | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.1
Component: numerical | Resolution:
Keywords: interval, root | Merged in:
Authors: Miguel Marco | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/mmarco/tight_complex_interval_inverse|
97f4504c20b5bfbf315f5e00013dab27df25fbd3
Dependencies: | Stopgaps:
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Changes (by {'newvalue': u'Miguel Marco', 'oldvalue': ''}):
* status: new => needs_review
* author: => Miguel Marco
* cc: tscrim, vdelecroix, dkren, jdemeyern (added)
* component: PLEASE CHANGE => numerical
* keywords: => interval, root
* type: PLEASE CHANGE => enhancement
Old description:
New description:
The current method to compute the multiplicative inverse of a complex
interval uses schoolbok formula that produces intervals much bigger than
the actual result.
This ticket implements a method that produces a tight interval enclosure
of the result.
As a result, we get better precission in root isolating methods (and
hence, less steps needed).
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Comment:
New commits:
||[http://git.sagemath.org/sage.git/commit/?id=84ab655f8438b505837df8f1179cafabba5e85f9
84ab655]||{{{compute tightly the inverse of complex interval.}}}||
||[http://git.sagemath.org/sage.git/commit/?id=a7a64ace373da32989e3361a34e434abeb303689
a7a64ac]||{{{adapted division to new inverse}}}||
||[http://git.sagemath.org/sage.git/commit/?id=5b7082d02101925b23c6704dde4e43da9a22addb
5b7082d]||{{{fixed doctests}}}||
||[http://git.sagemath.org/sage.git/commit/?id=97f4504c20b5bfbf315f5e00013dab27df25fbd3
97f4504]||{{{Merge branch 'inversecomplexintervals' into
t/19964/tight_complex_interval_inverse}}}||
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Ticket URL: <http://trac.sagemath.org/ticket/19964#comment:3>
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