#19258: Speedup tensor products of cyclotomic matrices
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Reporter: tscrim | Owner: tscrim
Type: defect | Status: new
Priority: major | Milestone: sage-6.9
Component: number fields | Keywords:
Merged in: | Authors: Travis Scrimshaw
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Currently taking the tensor product of dense cyclotomic matrices takes
forever:
{{{
sage: R = CyclotomicField(2)
sage: M = matrix.random(R, 40,40)
sage: N = matrix.random(R, 3, 3)
sage: %time K = N.tensor_product(M)
CPU times: user 337 ms, sys: 20.6 ms, total: 358 ms
Wall time: 335 ms
sage: %time K = M.tensor_product(N)
CPU times: user 3.99 s, sys: 32.5 ms, total: 4.02 s
Wall time: 3.97 s
}}}
The tensor product code looses a lot of time in converting between its
internal representation and the cyclotomic field entries. This ticket
implements a custom `tensor_product` along with doing some other speedups
with the internal workings.
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Ticket URL: <http://trac.sagemath.org/ticket/19258>
Sage <http://www.sagemath.org>
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