#8972: Inversion and fraction fields for power series rings
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Reporter: SimonKing | Owner: AlexGhitza
Type: defect | Status: needs_work
Priority: major | Milestone: sage-4.4.2
Component: algebra | Keywords: power series ring, fraction field
Author: Simon King | Upstream: N/A
Reviewer: | Merged:
Work_issues: improve timings |
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Changes (by SimonKing):
* status: needs_review => needs_work
* work_issues: => improve timings
Comment:
Concerning timings, I see a couple of things that might help improve the
div method:
1. My patch calls the fraction_field method; ''in addition'' the original
code calls the laurent_series_ring method. But the purpose of both is the
same. So, only one should be done.
1. The fraction_field method should better be cached; this would save a
lot of time, since the fradtion field construction involves the
construction of a Laurent series ring and the construction of the fraction
field of the base ring.
1. Currently the div methods of power series and of Laurent series call
each other; I don't know if this is done efficiently (e.g., avoiding
Python calls). I could imagine that this can be stratified.
So, something to do for tomorrow. And I guess the ticket is again "needs
work".
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8972#comment:8>
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