adapted from original source (A. Kuntsevich)
There are two tables, one for the BFGS method, the other for the DFP method
| Test No. | Function Name (Dimension) |
Function Value At Solution Found | Known Minimum |
Function Evaluations |
|---|---|---|---|---|
| 1 | Rosenbrock (2) | 1.15227e-013 | 0.00000e+000 | 150 |
| 2 | Freudenstein and Roth (2) | 4.89843e+001 | 4.89843e+001 | 46 |
| 3 | Powell Badly Scaled (2) | 2.72370e-005 | 0.00000e+000 | 10001 |
| 4 | Brown Badly Scaled (2) | 2.30447e-005 | 0.00000e+000 | 10003 |
| 5 | Beale (2) | 8.96584e-011 | 0.00000e+000 | 81 |
| 6 | Jennrich and Sampson (2) | --- | 1.24362e+002 | Loop |
| 7 | Helical Valley (3) | 5.14090e-010 | 0.00000e+000 | 164 |
| 8 | Bard (3) | 8.21488e-003 | 8.21487e-003 | 397 |
| 9 | Gaussian (3) | 1.12793e-008 | 1.12793e-008 | 31 |
| 10 | Meyer (3) | 3.46975e+007 | 8.79458e+001 | 10002 |
| 11 | Gulf Research and Dvlp.(3) | 9.29169e-007* | 0.00000e+000 | 10004 |
| 12 | Box 3-Dimensional (3) | 8.64446e-010 | 0.00000e+000 | 10004 |
| 13 | Powell Singular (4) | 3.92897e-009 | 0.00000e+000 | 3415 |
| 14 | Wood (4) | 7.67340e-011 | 0.00000e+000 | 515 |
| 15 | Kowalik and Osborne (4) | 3.07506e-004 | 3.07506e-004 | 217 |
| 16 | Brown and Dennis (4) | 8.58222e+004 | 8.58222e+004 | 110 |
| 17 | Osborne 1 (5) | 5.01191e-002 | 0.00000e+000 | 1476 |
| 18 | Biggs EXP6 (6) | 5.65567e-003 | 5.65565e-003 | 10003 |
| 19 | Osborne 2 (11) | --- | 4.01377e-002 | Loop |
| 20 | Watson (9) | 3.70740e-005 | 1.39976e-006 | 5286 |
| 21 | Extended Rosenbrock (10) | 3.30227e-005 | 0.00000e+000 | 10006 |
| 22 | Extended Powell Singular(10) | 3.92897e-009 | 0.00000e+000 | 3415 |
| 23 | Penalty I (4) | 2.33786e-005 | 2.24998e-005 | 10002 |
| 24 | Penalty II (4) | 9.51700e-006 | 9.37629e-006 | 74 |
| 25 | Variably Dimensioned (10) | 1.09313e-012 | 0.00000e+000 | 2227 |
| 26 | Trigonometric (10) | 2.79506e-005 | 2.79506e-005 | 368 |
| 28 | Discrete Boundary Value (10) | 1.47713e-008 | 0.00000e+000 | 696 |
| 29 | Discrete Integral Equat. (10) | 8.18057e-012 | 0.00000e+000 | 90 |
| 30 | Broyden Tridiagonal (10) | 7.27665e-012 | 0.00000e+000 | 224 |
| 31 | Broyden Banded (10) | 2.17652e-011 | 0.00000e+000 | 229 |
| 32 | Linear --- Full Rank (10) | 1.00000e+001 | 1.00000e+001 | 25 |
| 33 | Linear --- Rank 1 (10) | --- | 4.63415e+000 | Loop |
| 34 | Linear --- Rank 1 with Zero
Columns and Rows (10) | 6.13514e+000 | 6.13514e+000 | 87 |
* The coordinates of the solution are far from the minimizer
| Test No. | Function Name (Dimension) |
Function Value At Solution Found | Known Minimum |
Function Evaluations |
|---|---|---|---|---|
| 1 | Rosenbrock (2) | 7.59529e-014 | 0.00000e+000 | 178 |
| 2 | Freudenstein and Roth (2) | 4.89843e+001 | 4.89843e+001 | 46 |
| 3 | Powell Badly Scaled (2) | 1.55866e-005 | 0.00000e+000 | 10001 |
| 4 | Brown Badly Scaled (2) | 1.92892e-005 | 0.00000e+000 | 10003 |
| 5 | Beale (2) | 2.86991e-012 | 0.00000e+000 | 84 |
| 6 | Jennrich and Sampson (2) | --- | 1.24362e+002 | Loop |
| 7 | Helical Valley (3) | 4.08483e-012 | 0.00000e+000 | 181 |
| 8 | Bard (3) | 8.21488e-003 | 8.21487e-003 | 139 |
| 9 | Gaussian (3) | 1.12794e-008 | 1.12793e-008 | 25 |
| 10 | Meyer (3) | --- | 8.79458e+001 | Loop |
| 11 | Gulf Research and Dvlp.(3) | --- | 0.00000e+000 | Loop |
| 12 | Box 3-Dimensional (3) | 1.42092e-003 | 0.00000e+000 | 191 |
| 13 | Powell Singular (4) | --- | 0.00000e+000 | Loop |
| 14 | Wood (4) | 2.01217e-001 | 0.00000e+000 | 1107 |
| 15 | Kowalik and Osborne (4) | 3.07510e-004 | 3.07506e-004 | 10002 |
| 16 | Brown and Dennis (4) | 8.58222e+004 | 8.58222e+004 | 109 |
| 17 | Osborne 1 (5) | 6.05020e-005 | 5.46489e-005 | 321 |
| 18 | Biggs EXP6 (6) | 4.47386e-004 | 0.00000e+000 | 10002 |
| 19 | Osborne 2 (11) | 4.01610e-002 | 4.01377e-002 | 10007 |
| 20 | Watson (9) | 5.80443e-005 | 1.39976e-006 | 2144 |
| 21 | Extended Rosenbrock (10) | 3.43086e-005 | 0.00000e+000 | 1912 |
| 22 | Extended Powell Singular(10) | --- | 0.00000e+000 | Loop |
| 23 | Penalty I (4) | 2.40708e-005 | 2.24998e-005 | 130 |
| 24 | Penalty II (4) | 9.51698e-006 | 9.37629e-006 | 96 |
| 25 | Variably Dimensioned (10) | 2.31323e-011 | 0.00000e+000 | 10004 |
| 26 | Trigonometric (10) | 2.79506e-005 | 2.79506e-005 | 332 |
| 28 | Discrete Boundary Value (10) | 1.27341e-009 | 0.00000e+000 | 10007 |
| 29 | Discrete Integral Equat. (10) | 1.22273e-011 | 0.00000e+000 | 90 |
| 30 | Broyden Tridiagonal (10) | 1.35488e-011 | 0.00000e+000 | 225 |
| 31 | Broyden Banded (10) | 2.33635e-012 | 0.00000e+000 | 228 |
| 32 | Linear --- Full Rank (10) | 1.00000e+001 | 1.00000e+001 | 25 |
| 33 | Linear --- Rank 1 (10) | 4.63415e+000 | 4.63415e+000 | 10011 |
| 34 | Linear --- Rank 1 with Zero Columns and Rows (10) | --- | 6.13514e+000 | Loop |