I have a small program which builds random matrices for
increasing matrix orders, inverts the matrix and checks the
precision of the product. At some point, one would expect
operations to fail, when the memory capacity is exceeded. In
both Python 2.7 and 3.2 matrices of order 3,071 area handled,
but not 6,143.
Using wall-clock times, with win32, Python 3.2 is slower than
Python 2.7. The profiler indicates a problem in the solver.
Done on a Pentium, with 2.7 GHz processor, 2 GB of RAM and 221
GB of free disk space. Both Python 3.2.3 and Python 2.7.3 use
numpy 1.6.2.
The results are show below.
Colin W.
aaaa_ssss
2.7.3 (default, Apr 10 2012, 23:31:26) [MSC v.1500 32 bit
(Intel)]
order= 2 measure ofimprecision= 0.097 Time elapsed
(seconds)= 0.004143
order= 5 measure ofimprecision= 2.207 Time elapsed
(seconds)= 0.001514
order= 11 measure ofimprecision= 2.372 Time elapsed
(seconds)= 0.001455
order= 23 measure ofimprecision= 3.318 Time elapsed
(seconds)= 0.001608
order= 47 measure ofimprecision= 4.257 Time elapsed
(seconds)= 0.002339
order= 95 measure ofimprecision= 4.986 Time elapsed
(seconds)= 0.005747
order= 191 measure ofimprecision= 5.788 Time elapsed
(seconds)= 0.029974
order= 383 measure ofimprecision= 6.765 Time elapsed
(seconds)= 0.145339
order= 767 measure ofimprecision= 7.909 Time elapsed
(seconds)= 0.841142
order= 1535 measure ofimprecision= 8.532 Time elapsed
(seconds)= 5.793630
order= 3071 measure ofimprecision= 9.774 Time elapsed
(seconds)= 39.559540
order= 6143 Process terminated by a MemoryError
Above: 2.7.3 Below: Python 3.2.3
bbb_bbb
3.2.3 (default, Apr 11 2012, 07:15:24) [MSC v.1500 32 bit
(Intel)]
order= 2 measure ofimprecision= 0.000 Time elapsed
(seconds)= 0.113930
order= 5 measure ofimprecision= 1.807 Time elapsed
(seconds)= 0.001373
order= 11 measure ofimprecision= 2.395 Time elapsed
(seconds)= 0.001468
order= 23 measure ofimprecision= 3.073 Time elapsed
(seconds)= 0.001609
order= 47 measure ofimprecision= 5.642 Time elapsed
(seconds)= 0.002687
order= 95 measure ofimprecision= 5.745 Time elapsed
(seconds)= 0.013510
order= 191 measure ofimprecision= 5.866 Time elapsed
(seconds)= 0.061560
order= 383 measure ofimprecision= 7.129 Time elapsed
(seconds)= 0.418490
order= 767 measure ofimprecision= 8.240 Time elapsed
(seconds)= 3.815713
order= 1535 measure ofimprecision= 8.735 Time elapsed
(seconds)= 27.877270
order= 3071 measure ofimprecision= 9.996 Time elapsed
(seconds)=212.545610
order= 6143 Process terminated by a MemoryError