No problem:
**with libatlas3gf-sse2:
octave:1> a = [1 2 3; 4 5 6; 7 8 9]*J;
octave:2> [u,s,v]=svd(a)
u =
-0.032510 - 0.122510i 0.334536 - 0.011954i 0.112290 + 0.000145i
0.045563 - 0.535097i -0.458023 + 0.414578i 0.736504 + 0.051393i
0.070008 - 0.854667i -0.724855 - 0.113233i -0.608726 + 0.014930i
s =
Diagonal Matrix
17.224974 0 0
0 0.922528 0
0 0 0.043549
v =
-0.46941 - 0.00000i -0.85522 - 0.00000i 0.21966 + 0.00000i
-0.56108 - 0.11783i 0.19894 + 0.22349i -0.42448 + 0.61832i
-0.64827 - 0.17467i 0.39474 - 0.06283i 0.15152 - 0.61790i
octave:3> u*s*v'
ans =
-0.00000 + 1.00000i 0.61970 + 1.04384i 0.85486 + 1.28824i
0.00000 + 4.00000i 0.63485 + 5.41375i 0.91378 + 6.25676i
0.00000 + 7.00000i 0.91329 + 8.54694i 1.52782 + 9.65463i
**without libatlas3gf-sse2:
octave:1> a = [1 2 3; 4 5 6; 7 8 9]*J;
octave:2> [u,s,v]=svd(a)
u =
-0.000000 - 0.214837i -0.000000 - 0.887231i -0.406669 - 0.035873i
0.000000 - 0.520587i 0.000000 - 0.249644i 0.813338 + 0.071746i
0.000000 - 0.826338i 0.000000 + 0.387943i -0.406669 - 0.035873i
s =
Diagonal Matrix
1.6848e+01 0 0
0 1.0684e+00 0
0 0 9.1627e-16
v =
-0.47967 - 0.00000i 0.77669 + 0.00000i 0.40825 + 0.00000i
-0.57237 - 0.00000i 0.07569 - 0.00000i -0.81650 + 0.00000i
-0.66506 + 0.00000i -0.62532 + 0.00000i 0.40825 - 0.00000i
octave:3> u*s*v'
ans =
-0.0000 + 1.0000i 0.0000 + 2.0000i 0.0000 + 3.0000i
0.0000 + 4.0000i -0.0000 + 5.0000i -0.0000 + 6.0000i
0.0000 + 7.0000i -0.0000 + 8.0000i -0.0000 + 9.0000i
(note that U(:,3) is not quite relevant for this rank-2 matrix)
Package libatlas3gf-sse2 has
http://bugs.debian.org/517826 and the test mentioned fails with and succeeds without it. Should this bug be moved there?
Greetings