Table 2. The solution for UNC-problems by
SolvOpt
without user-supplied
analytically determined gradients
and standard starting points
| Function Name (Dimension) |
Known minimum1: f(xo) |
Function value at the obtained solution:
f(x*) |
Relative error for the point:
maxi ( |xo,i-x*,i| / |
x*,i| ) |
Function evaluations |
|---|
| Rosenbrock (2) | 0.00000e+000 | 7.50463e-015 | 1.67244e-007 | 285 |
| Freudenstein and Roth (2) | 4.89843e+001 | 4.89843e+001 | 2.40831e-004 | 147 |
| Powell Badly Scaled (2) | 0.00000e+000 | 4.70720e-021 | 1.97603e-008 | 1241 |
| Brown Badly Scaled (2) | 0.00000e+000 | 6.14504e-013 | 7.74628e-013 | 293 |
| Beale (2) | 0.00000e+000 | 1.78959e-014 | 1.20877e-007 | 113 |
| Jennrich and Sampson (2) | 1.24362e+002 | 1.24362e+002 | 7.09685e-006 | 90 |
| Helical Valley (3) | 0.00000e+000 | 2.11807e-015 | 4.11560e-009 | 283 |
| Bard (3) | 8.21487e-003 | 8.21488e-003 | 1.11801e-005 | 189 |
| Gaussian (3) | 1.12793e-008 | 1.12793e-008 | 1.90422e-005 | 118 |
| Meyer (3) | 8.79458e+001 | 8.79459e+001 | 7.12908e-005 | 4584 |
| Gulf Research and Dvlp. (3) | 0.00000e+000 | 7.63487e-016 | 2.55022e-005 | 2119 |
| Box 3-Dimensional (3) | 0.00000e+000 | 3.31440e-015 | 2.53636e-007 | 165 |
| Powell Singular (4) | 0.00000e+000 | 1.41568e-013 | 2.39728e-004 | 269 |
| Wood (4) | 0.00000e+000 | 1.62095e-013 | 3.66083e-007 | 486 |
| Kowalik and Osborne (4) | 3.07506e-004 | 3.07506e-004 | 6.85225e-006 | 253 |
| Brown and Dennis (4) | 8.58222e+004 | 8.58222e+004 | 3.00919e-005 | 243 |
| Osborne 1 (5) | 5.46489e-005 | 5.46489e-005 | 1.99793e-004 | 882 |
| Biggs EXP6 (6) | 0.00000e+000 | 6.92153e-014 | 1.49201e-005 | 1382 |
| Osborne 2 (11) | 4.01377e-002 | 4.01377e-002 | 3.71987e-005 | 1024 |
| Watson (9) | 1.39976e-006 | 1.39977e-006 | 3.43343e-003 | 1055 |
| Extended Rosenbrock (10) | 0.00000e+000 | 1.87397e-013 | 4.10093e-007 | 1968 |
| Extended Powell Singular (4) | 0.00000e+000 | 1.41568e-013 | 2.39728e-004 | 269 |
| Penalty I (4) | 2.24998e-005 | 2.24998e-005 | 3.85047e-005 | 483 |
| Penalty II (4) | 9.37629e-006 | 9.37629e-006 | 2.64325e-005 | 2387 |
| Variably Dimensioned (10) | 0.00000e+000 | 5.29850e-013 | 4.45526e-007 | 333 |
| Trigonometric (10) | 2.79506e-005 | 2.79506e-005 | 0.00000e+000 | 459 |
| Discrete Boundary Value (10) | 0.00000e+000 | 6.59758e-014 | 3.43634e-006 | 586 |
| Discrete Integral Equat. (10) | 0.00000e+000 | 6.28448e-014 | 3.16254e-006 | 349 |
| Broyden Tridiagonal (10) | 0.00000e+000 | 4.26345e-014 | 6.94252e-007 | 420 |
| Broyden Banded (10) | 0.00000e+000 | 4.98694e-013 | 9.26124e-007 | 376 |
| Linear -- Full Rank (10) | 1.00000e+001 | 1.00000e+001 | 1.43688e-005 | 305 |
| Linear -- Rank 1 (10) | 4.63415e+000 | 4.63415e+000 | 0.00000e+000 | 1180 |
Linear -- Rank 1 with Zero
Columns and Rows (10) | 6.13514e+000 | 6.13514e+000 | 0.00000e+000 | 847 |
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