Table 4. The solution for UNC-problems at
f=1016f0
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 | 1.67633e-014 | 1.44329e-015 | 370 |
| Freudenstein and Roth (2) | 4.89842e+017 | 4.89843e+017 | 2.38273e-004 | 107 |
| Powell Badly Scaled (2) | 0.00000e+000 | 1.56293e-013 | 2.01846e-010 | 1588 |
| Brown Badly Scaled (2) | 0.00000e+000 | 1.37702e+002 | 1.17347e-013 | 485 |
| Beale (2) | 0.00000e+000 | 1.73549e-013 | 1.99840e-015 | 253 |
| Jennrich and Sampson (2) | 1.24362e+018 | 1.24362e+018 | 4.47076e-006 | 107 |
| Helical Valley (3) | 0.00000e+000 | 2.50559e-014 | 1.12772e-015 | 445 |
| Bard (3) | 8.21487e+013 | 8.21488e+013 | 9.43432e-006 | 200 |
| Gaussian (3) | 1.12793e+008 | 1.12793e+008 | 1.90760e-005 | 110 |
| Meyer (3) | 8.79458e+017 | 8.79459e+017 | 2.05694e-005 | 4612 |
| Gulf Research and Dvlp. (3) | 0.00000e+000 | 8.19614e-004 | 4.15627e-007 | 2710 |
| Box 3-Dimensional (3) | 0.00000e+000 | 1.82886e-013 | 1.47438e-014 | 298 |
| Powell Singular (4) | 0.00000e+000 | 2.70255e-013 | 3.35553e-008 | 460 |
| Wood (4) | 0.00000e+000 | 1.27574e-013 | 1.77636e-015 | 865 |
| Kowalik and Osborne (4) | 3.07505e+012 | 3.07506e+012 | 1.30326e-005 | 242 |
| Brown and Dennis (4) | 8.58222e+020 | 8.58222e+020 | 3.11674e-005 | 239 |
| Osborne 1 (5) | 5.46489e+011 | 5.46489e+011 | 1.72094e-004 | 870 |
| Biggs EXP6 (6) | 0.00000e+000 | 6.21783e-013 | 7.50000e-001 | 1660 |
| Osborne 2 (11) | 4.01377e+014 | 4.01377e+014 | 3.24157e-005 | 969 |
| Watson (9) | 1.39976e+010 | 1.39976e+010 | 1.71838e-003 | 1109 |
| Extended Rosenbrock (10) | 0.00000e+000 | 1.70493e-012 | 9.54792e-015 | 2353 |
| Extended Powell Singular (4) | 0.00000e+000 | 2.70255e-013 | 3.35553e-008 | 460 |
| Penalty I (4) | 2.24998e+011 | 2.24998e+011 | 4.62202e-005 | 1789 |
| Penalty II (4) | 9.37629e+010 | 9.37629e+010 | 3.31093e-005 | 2260 |
| Variably Dimensioned (10) | 0.00000e+000 | 4.62346e-013 | 3.99680e-015 | 1349 |
| Trigonometric (10) | 2.79506e+011 | 2.79506e+011 | 0.00000e+000 | 551 |
| Discrete Boundary Value (10) | 0.00000e+000 | 1.20051e-013 | 3.00153e-006 | 1047 |
| Discrete Integral Equat. (10) | 0.00000e+000 | 3.59634e-014 | 3.00153e-006 | 913 |
| Broyden Tridiagonal (10) | 0.00000e+000 | 2.93492e-011 | 7.29343e-007 | 1091 |
| Broyden Banded (10) | 0.00000e+000 | 2.86947e-011 | 8.92225e-007 | 1019 |
| Linear -- Full Rank (10) | 1.00000e+017 | 1.00000e+017 | 3.96886e-005 | 1395 |
| Linear -- Rank 1 (10) | 4.63415e+016 | 4.63415e+016 | 0.00000e+000 | 592 |
Linear -- Rank 1 with Zero
Columns and Rows (10) | 6.13514e+016 | 6.13514e+016 | 0.00000e+000 | 1041 |
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