Matrix Inversion Timing Results:
Non-optimized builds (SRT_QUAL = default) Optimized builds (SRT_QUAL = default)
5x5 Matrix 6x6 Matrix 5x5 Matrix 6x6 Matrix
LinearAlgebra (*)
Matrix not specialized
Matrix not symmetric
[tsninv1]
22.9 32.7 22.8 32.7
LinearAlgebra (*)
Matrix not specialized
Matrix symmetric
[tsninv1]
30.7 42.4 30.6 42.4
LinearAlgebra (*)
Matrix specialized
Matrix not symmetric
[tsninv1]
6.92 20.6 6.65 20.1
LinearAlgebra (*)
Matrix specialized
Matrix symmetric
[tsninv1]
31 43.1 31.1 43.2
CLHEP
HepMatrix
using inverse()
[tsninv2]
6.73 16.91 7.59 16.92
CLHEP
HepMatrix
using invert()
[tsninv2]
4.52 7.74 5.4 7.63
CLHEP
HepSymMatrix
using inverse()
[tsninv3]
3.33 4.61 3.47 4.74
CLHEP
HepSymMatrix
using invert()
[tsninv3]
1.82 2.56 1.95 2.71
CovMatrices (**)(***)
CovMatrixX
[tsninv4]
1.08 1.46 1.1 1.48

All timings are based on 1,000,000 inversions.
The number is the time for 1 inversion in microseconds (µsecs)
(also, since we have a total of 1,000,000 inversions, the same number is the total inversion time in seconds).
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