Matrix Inversion Timing Results:
Non-optimized builds (SRT_QUAL = default) Optimized builds (SRT_QUAL = maxopt)
5x5 Matrix 6x6 Matrix 5x5 Matrix 6x6 Matrix
LinearAlgebra (*)
Matrix not specialized
Matrix  not symmetric
[tsninv1]
Min: 22.9 secs (22.9 µsecs)
Max: 23.1 secs (23.1 µsecs)
Min: 32.7 secs (32.7 µsecs)
Max: 32.9 secs (32.9 µsecs)
Min: 22.8 secs (22.8 µsecs)
Max: 23 secs (23 µsecs)
Min: 32.7 secs (32.7 µsecs)
Max: 32.9 secs (32.9 µsecs)
LinearAlgebra (*)
Matrix  not specialized
Matrix  symmetric
[tsninv1]
Min: 30.7 secs (30.7 µsecs)
Max: 30.9 secs (30.9 µsecs)
Min: 42.4 secs (42.4 µsecs)
Max: 43 secs (43 µsecs)
Min: 30.6 secs (30.6 µsecs)
Max: 31 secs (31 µsecs)
Min: 42.4 secs (42.4 µsecs)
Max: 42.6 secs (42.6 µsecs)
LinearAlgebra (*)
Matrix  specialized
Matrix  not symmetric
[tsninv1]
Min: 6.92 secs (6.92 µsecs)
Max: 6.97 secs (6.97 µsecs)
Min: 20.6 secs (20.6 µsecs)
Max: 20.8 secs (20.8 µsecs)
Min: 6.65 secs (6.65 µsecs)
Max: 6.74 secs (6.74 µsecs)
Min: 20.1 secs (20.1 µsecs)
Max: 20.4 secs (20.4 µsecs)
LinearAlgebra (*)
Matrix specialized
Matrix symmetric
[tsninv1]
Min: 31 secs (31 µsecs)
Max: 31.1 secs (31.1 µsecs)
Min: 43.1 secs (43.1 µsecs)
Max: 43.5 secs (43.5 µsecs)
Min: 31.1 secs (31.1 µsecs)
Max: 31.2 secs (31.2 µsecs)
Min: 43.2 secs (43.2 µsecs)
Max: 43.5 secs (43.5 µsecs)
CLHEP
HepMatrix
using inverse()
[tsninv2]
Min: 6.73 secs (6.73 µsecs)
Max: 6.75 secs (6.75 µsecs)
Min: 16.91 secs (16.91 µsecs)
Max: 17.09 secs (17.09 µsecs)
Min: 7.59 secs (7.59 µsecs)
Max: 7.71 secs (7.71 µsecs)
Min: 16.92 secs (16.92 µsecs)
Max: 17.02 secs (17.02 µsecs)
CLHEP
HepMatrix
using invert()
[tsninv2]
Min: 4.52 secs (4.52 µsecs)
Max: 4.59 secs (4.59 µsecs)
Min: 7.74 secs (7.74 µsecs)
Max: 7.85 secs (7.85 µsecs)
Min: 5.4 secs (5.4 µsecs)
Max: 5.5 secs (5.5 µsecs)
Min: 7.63 secs (7.63 µsecs)
Max: 7.74 secs (7.74 µsecs)
CLHEP
HepSymMatrix
using inverse()
[tsninv3]
Min: 3.33 secs (3.33 µsecs)
Max: 3.38 secs (3.38 µsecs)
Min: 4.61 secs (4.61 µsecs)
Max: 4.68 secs (4.68 µsecs)
Min: 3.47 secs (3.47 µsecs)
Max: 3.55 secs (3.55 µsecs)
Min: 4.74 secs (4.74 µsecs)
Max: 4.85 secs (4.85 µsecs)
CLHEP
HepSymMatrix
using invert()
[tsninv3]
Min: 1.82 secs (1.82 µsecs)
Max: 1.85 secs (1.85 µsecs)
Min: 2.56 secs (2.56 µsecs)
Max: 2.59 secs (2.59 µsecs)
Min: 1.95 secs (1.95 µsecs)
Max: 1.98 secs (1.98 µsecs)
Min: 2.71 secs (2.71 µsecs)
Max: 2.75 secs (2.75 µsecs)
CovMatrices (**)(***)
CovMatrixX
[tsninv4]
Min: 1.11 secs (1.1 µsecs)
Max: 1.14 secs (1.14 µsecs)
Min: 1.47 secs (1.47 µsecs)
Max: 1.51 secs (1.51 µsecs)
Min: 1.1 secs (1.1 µsecs)
Max: 1.13 secs (1.13 µsecs)
Min: 1.48 secs (1.48 µsecs)
Max: 1.53 secs (1.53 µsecs)

All timings are based on 1,000,000 inversions.
The first number is the time for all the inversions while the time in parenthesis is the time for 1 inversion.
The string in the bracket is the name of the test module build for the paticular test.
When the results say "Non-Optimized builds," then all the libraries and the test module were build with the "SRT_QUAL" variable having the "default" value.
When the results say "Optimized builds," then all the libraries and the test module were build with the "SRT_QUAL" variable having the "maxopt" value.

(*) Only inverse() is available
(**) Covariant Matrices are inherently symmetric
(***) Only invert() is available.
 

Matrices used in the tests:

LinearAlgebra:
5x5 matrix:
     1e+03                    4                    6                    8                  10
             4         1.1e+03                  16                  18                  20
             6                  16         1.2e+03                  28                  30
             8                  18                  28         1.3e+03                  40
           10                  20                  30                  40         1.4e+03
6x6 matrix:
     1e+03                    4                    6                    8                  10                  12
             4         1.1e+03                  18                  20                  22                  24
             6                  18         1.2e+03                  32                  34                  36
             8                  20                  32         1.3e+03                  46                  48
            10                 22                  34                  46         1.4e+03                  60
            12                 24                  36                  48                  60         1.5e+03

CLHEP:
5x5 matrix:
         1000                4                6                8              10
               4          1100              16              18              20
               6              16          1200              28              30
               8              18              28          1300              40
             10              20              30              40          1400
6x6 matrix:
         1000                4                6                8              10              12
               4          1100              18              20              22              24
               6              18          1200              32              34              36
               8              20              32          1300              46              48
             10              22              34              46          1400              60
             12              24              36              48              60          1500

CovMatrices:
5x5 matrix:
  +1.0000000000e+03
  +4.0000000000e+00   +1.1000000000e+03
  +6.0000000000e+00   +1.6000000000e+01   +1.2000000000e+03
  +8.0000000000e+00   +1.8000000000e+01   +2.8000000000e+01   +1.3000000000e+03
  +1.0000000000e+01   +2.0000000000e+01   +3.0000000000e+01   +4.0000000000e+01   +1.4000000000e+03
6x6 matrix
  +1.0000000000e+03
  +4.0000000000e+00   +1.1000000000e+03
  +6.0000000000e+00   +1.8000000000e+01   +1.2000000000e+03
  +8.0000000000e+00   +2.0000000000e+01   +3.2000000000e+01   +1.3000000000e+03
  +1.0000000000e+01   +2.2000000000e+01   +3.4000000000e+01   +4.6000000000e+01   +1.4000000000e+03
  +1.2000000000e+01   +2.4000000000e+01   +3.6000000000e+01   +4.8000000000e+01   +6.0000000000e+01   +1.5000000000e+03
 

Testing system specs:

CPU: 500 MHz PentiumIII (Katmai)
Memory: 128MB SDRAM
Cache: 512KB
Hard Disk: IBM 13677MB
Video Card: 16MB Diamond Viper TNT 1.95E

OS: Fermi Linux Release 6.1.1 (Strange)
Kernel: 2.2.16-3 on an i686
X-Server: XFree86 Version 11.0 Release 3360

Tests were compiled and build using GCC 3.0.1

Nick Macks