Calculating Matrix Trace 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
[tsntra1]
Min: 0.13 secs (0.13 µsecs)
Max: 0.17 secs (0.17 µsecs)
Min: 0.21 secs (0.21 µsecs)
Max: 0.22 secs (0.22 µsecs)
Min: 0.16 secs (0.16 µsecs)
Max: 0.19 secs (0.19 µsecs)
Min: 0.21 secs (0.21 µsecs)
Max: 0.23 secs (0.23 µsecs)
LinearAlgebra
Matrix not specialized
Matrix declare symmetric
[tsntra1]
Min: 0.34 secs (0.34 µsecs)
Max: 0.36 secs (0.36 µsecs)
Min: 0.43 secs (0.43 µsecs)
Max: 0.45 secs (0.45 µsecs)
Min: 0.33 secs (0.33 µsecs)
Max: 0.37 secs (0.37 µsecs)
Min: 0.42 secs (0.42 µsecs)
Max: 0.45 secs (0.45 µsecs)
LinearAlgebra
Matrix specialized
Matrix not declared symmetric
[tsntra1]
Min: 0.09 secs (0.09 µsecs)
Max: 0.1 secs (0.1 µsecs)
Min: 0.1 secs (0.1 µsecs)
Max: 0.12 secs (0.12 µsecs)
Min: 0.08 secs (0.08 µsecs)
Max: 0.1 secs (0.1 µsecs)
Min: 0.1 secs (0.1 µsecs)
Max: 0.12 secs (0.12 µsecs)
LinearAlgebra
Matrix specialized
Matrix declared symmetric
[tsntra1]
Min: 0.34 secs (0.34 µsecs)
Max: 0.37 secs (0.37 µsecs)
Min: 0.42 secs (0.42 µsecs)
Max: 0.44 secs (0.44 µsecs)
Min: 0.34 secs (0.34 µsecs)
Max: 0.37 secs (0.37 µsecs)
Min: 0.41 secs (0.41 µsecs)
Max: 0.45 secs (0.45 µsecs)
CLHEP
HepMatrix
[tsntra2]
Min: 0.07 secs (0.07 µsecs)
Max: 0.1 secs (0.1 µsecs)
Min: 0.09 secs (0.09 µsecs)
Max: 0.11 secs (0.11 µsecs)
Min: 0.07 secs (0.07 µsecs)
Max: 0.1 secs (0.1 µsecs)
Min: 0.1 secs (0.1 µsecs)
Max: 0.13 secs (0.13 µsecs)
CLHEP
HepSymMatrix
[tsntra3]
Min: 0.14 secs (0.14 µsecs)
Max: 0.16 secs (0.16 µsecs)
Min: 0.17 secs (0.17 µsecs)
Max: 0.21 secs (0.21 µsecs)
Min: 0.09 secs (0.09 µsecs)
Max: 0.13 secs (0.13 µsecs)
Min: 0.15 secs (0.15 µsecs)
Max: 0.16 secs (0.16 µsecs)
CovMatrices (*)
CovMatrixX
[tsntra4]
Min: 
Max: 0.01 secs (0.01 µsecs)
Min:
Max: 0.01 secs (0.01 µsecs)
Min:
Max: 0.01 secs (0.01 µsecs)
Min:
Max: 0.01 secs (0.01 µsecs)

All timings are based on 1,000,000 trace 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