In good old Mathematica versions (5.2, 6.0), matrix multiplication was automatically done in parallel. For example, on an 8-core machine, define two square real matrices:
m1 = Table[Random[Real], {256}, {256}];
m2 = Table[Random[Real], {256}, {256}];
The total CPU time used in all cores to compute a dot product is:
Tsingle = Timing[m1.m2][[1]]
0.010999 Second
The real time needed for the calculation is:
Tparallel = AbsoluteTiming[m1.m2][[1]]
0.001546 Second
For large matrices, the ratio is almost equal to the number of cores (8):
Tsingle / Tparallel
7.114489004
Repeating the same calculation in newer Mathematica versions (8.0, 9.0) gives Tsingle
equal to Tparallel
, which seems to indicate that new Mathematica versions dropped automatic parallelization of the Dot command. Is this true?
I would be thankful if anyone can advise how to regain this functionality, i.e. compute Dot
products in parallel (automatically or manually).
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