Opened 12 years ago
Closed 12 years ago
#419 closed enhancement (fixed)
row reduction for matrices over multivariate polynomial rings
Reported by: | malb | Owned by: | malb |
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Priority: | major | Milestone: | |
Component: | linear algebra | Keywords: | |
Cc: | Merged in: | ||
Authors: | Reviewers: | ||
Report Upstream: | Work issues: | ||
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description
Consider
sage: P.<x,y> = PolynomialRing(GF(2),2) sage: A = Matrix(P,2,2,[1,x,x,x+1]); A [ 1 x] [ x x + 1]
A.echelon_form()
returns the identity matrix because it computes the reduced echelon form over a fraction field and not over the polynomial ring. However, SINGULAR has a (educational == slow) rowred
command to perform row reduction as far as this is possible over the polynomial ring. This behaviour is desired in several applications and thus it should be ported to SAGE.
In fact, I've got an implementation/port of this already (c.f. https://sage.math.washington.edu:8102/home/pub/35/) it just needs to be named and included with SAGE.
Change History (2)
comment:1 Changed 12 years ago by
- Owner changed from was to malb
- Status changed from new to assigned
comment:2 Changed 12 years ago by
- Resolution set to fixed
- Status changed from assigned to closed
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fixed in 2.8.3