Calculating Matrix Determinant 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 declared symmetric
[tsndet1]
Min: 11.7 secs (11.7 µsecs)
Max: 11.9 secs (11.9 µsecs)
Min: 15.6 secs (15.6 µsecs)
Max: 15.8 secs (15.8 µsecs)
Min: 11.8 secs (11.8 µsecs)
Max: 12.3 secs (12.3 µsecs)
Min: 15.6 secs (15.6 µsecs)
Max: 15.9 secs (15.9 µsecs)
LinearAlgebra
Matrix not specialized
Matrix declared symmetric
[tsndet1]
Min: 15.8 secs (15.8 µsecs)
Max: 15.9 secs (15.9 µsecs)
Min: 20.9 secs (20.9 µsecs)
Max: 21 secs (21 µsecs)
Min: 16.4 secs (16.4 µsecs)
Max: 16.5 secs (16.5 µsecs)
Min: 21.3 secs (21.3 µsecs)
Max: 21.7 secs (21.7 µsecs)
LinearAlgebra
Matrix specialized
Matrix not declared symmetric
[tsndet1]
Min: 1.92 secs (1.92 µsecs)
Max: 1.97 secs (1.97 µsecs)
Min: 11.8 secs (11.8 µsecs)
Max: 12.1 secs (12.1 µsecs)
Min: 1.86 secs (1.86 µsecs)
Max: 1.92 secs (1.92 µsecs)
Min: 11.6 secs (11.6 µsecs)
Max: 11.7 secs (11.7 µsecs)
LinearAlgebra
Matrix specialized
Matrix declared symmetric
[tsndet1]
Min: 15.9 secs (15.9 µsecs)
Max: 16.2 secs (16.2 µsecs)
Min: 21.3 secs (21.3 µsecs)
Max: 21.5 secs (21.5 µsecs)
Min: 16 secs (16 µsecs)
Max: 16.2 secs (16.2 µsecs)
Min: 21.4 secs (21.4 µsecs)
Max: 21.6 secs (21.6 µsecs)
CLHEP
HepMatrix
[tsndet2]
Min: 4.97 secs (4.97 µsecs)
Max: 5.12 secs (5.12 µsecs)
Min: 6.86 secs (6.86 µsecs)
Max: 6.95 secs (6.95 µsecs)
Min: 4.98 secs (4.98 µsecs)
Max: 5.08 secs (5.08 µsecs)
Min: 6.79 secs (6.79 µsecs)
Max: 6.93 secs (6.93 µsecs)
CLHEP
HepSymMatrix
[tsndet3]
Min: 5.16 secs (5.1t6y µsecs)
Max: 5.27 secs (5.27 µsecs)
Min: 7.2 secs (7.2 µsecs)
Max: 7.3 secs (7.3 µsecs)
Min: 5.14 secs (5.14 µsecs)
Max: 5.28 secs (5.28 µsecs)
Min: 7.21 secs (7.21 µsecs)
Max: 7.32 secs (7.32 µsecs)
CovMatrices (*)
CovMatrixX
[tsndet4]
Min: 0.52 secs (0.52 µsecs)
Max: 0.57 secs (0.57 µsecs)
Min: 0.68 secs (0.68 µsecs)
Max: 0.71 secs (0.71 µsecs)
Min: 0.49 secs (0.49 µsecs)
Max: 0.56 secs (0.56 µsecs)
Min: 0.65 secs (0.65 µsecs)
Max: 0.71 secs (0.71 µsecs)

All timings are based on 1,000,000 determinant calculations.
The first number is the time for all the calculations while the time in parenthesis is the time for 1 calculation.
The string in the bracket is the name of the test module build for the particular 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.

(*) Covariant Matrices are inherently symmetric
 

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