#8096: Speed up parent creation for multiplication of square matrices
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Reporter: boothby | Owner: boothby
Type: enhancement | Status: needs_info
Priority: minor | Milestone:
Component: linear algebra | Keywords:
Work_issues: various doc test errors | Upstream: N/A
Reviewer: | Author: boothby, robertwb
Merged: | Dependencies:
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Comment(by SimonKing):
Martin, I just found that M4RIE just needs 10.42 seconds resp. 8.78
seconds on my computer for multiplying two random 5000x5000 matrices over
GF(64).
{{{
sage: MS = MatrixSpace(GF(64,'a'),5000,5000)
sage: A = MS.random_element()
sage: type(A)
<type 'sage.matrix.matrix_mod2e_dense.Matrix_mod2e_dense'>
sage: B = MS.random_element()
sage: %time C = A*B
CPU times: user 10.42 s, sys: 0.15 s, total: 10.56 s
Wall time: 10.60 s
sage: %time C = A._mult
A._multiply_classical A._multiply_karatsuba A._multiply_strassen
A._multiply_travolta
sage: %time C = A._multiply_travolta(B)
CPU times: user 8.73 s, sys: 0.02 s, total: 8.75 s
Wall time: 8.78 s
}}}
That's awesome! For these particular matrices, the Meataxe fork needs
85.26 seconds. Hopefully I'll be able to review #9562 tomorrow.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8096#comment:34>
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