Problem - CUTEr or MINPACK-2 problem name dim - dimension ASA - new active set method Authors: Hager and Zhang P-ASA - new active set method, Lin/More' incomplete Cholesky preconditioner Authors: Hager and Zhang L-BFGS-B- limited memory bfgs code Authors: Zhu, Byrd, and Nocedal GENCAN - monotone active set method with spectral projected gradients Authors: Birgin and Martinez SPG2 - nonmonotone spectral projected gradient method Authors: Birgin, Martinez, and Raydan TRON - Newton trust region method with incomplete Cholesky preconditioning Authors: Lin and More' Iter - Number of iterations Nfunc - Number of function evaluations Ngrad - Number of gradient evaluations Nhess - Number of Hessian evaluations Grad - Final gradient (max-norm) Func - Final function value Seconds - Solution time in seconds F - Stopping condition not achieved The best solver for any problem is flagged by >> << Stopping condition: ||g_k||_{\infty} <= 1.e-6 flag !! for problems not included in performance profiles since different solvers converged to different local minimizers flag ! for problems not included in performance profiles since the problem could be solved in at most .01 seconds Problems ordered by solution time of the fastest code Additional data for ASA given at end of this file -- we split Iter, Nfunc, and Ngrad into two sets depending on whether a gradient projection or a conjugate gradient iteration is performed. ========================================================================== Problem Method Iter Nfunc Ngrad Grad Func Seconds (Dim) (11130) L-BFGS-B 1641 1677 1677 F 2.384e+00 1.039e+04 *.** GENCAN 1282 3500 54518 F 2.111e-06 9.237e+03 *.** SPG2 100001 163122 100002 F 7.376e-02 9.244e+03 *.** BQPGAUSS >>ASA<< 30928 65321 51929 S 6.294e-07 -3.626e-01 621.33 (2003) L-BFGS-B 14112 14818 14818 F 2.536e-05 -3.626e-01 *.** GENCAN 202 502 16034 F 3.099e-06 -3.626e-01 *.** SPG2 235250 413255 235251 S 9.948e-07 -3.626e-01 3185.23 JNLBRNGB >>ASA<< 2981 5995 3039 S 9.553e-07 -6.281e+00 398.87 (15625) L-BFGS-B 2291 2368 2368 S 7.887e-07 -6.281e+00 493.86 GENCAN 197 424 6504 S 8.078e-07 -6.281e+00 550.70 SPG2 22938 38328 22939 S 9.985e-07 -6.281e+00 2933.04 QR3DLS ASA 39320 78642 50547 S 8.462e-07 1.395e-08 589.42 (610) L-BFGS-B 94952 104732 104732 S 8.643e-07 8.634e-08 1604.24 >>GENCAN<< 332 555 26081 S 9.976e-07 1.614e-08 255.17 SPG2 179610 388014 179611 S 9.991e-07 3.575e-07 2214.75 JNLBRNG1 >>ASA<< 875 1414 900 S 9.991e-07 -1.806e-01 129.21 (15625) L-BFGS-B 1003 1017 1017 S 9.956e-07 -1.806e-01 260.00 GENCAN 259 637 3185 S 3.544e-07 -1.806e-01 327.41 SPG2 1988 3018 1989 S 9.761e-07 -1.806e-01 286.21 JNLBRNG2 >>ASA<< 739 1508 752 S 9.453e-07 -4.150e+00 117.83 (15625) L-BFGS-B 699 726 726 S 8.963e-07 -4.150e+00 166.56 GENCAN 104 293 2962 S 8.269e-07 -4.150e+00 290.22 SPG2 2327 3839 2328 S 9.506e-07 -4.150e+00 344.40 JNLBRNGA >>ASA<< 559 1097 566 S 9.678e-07 -2.685e-01 74.93 (15625) L-BFGS-B 409 434 434 S 9.034e-07 -2.685e-01 93.42 GENCAN 100 279 1853 S 7.081e-07 -2.685e-01 164.78 SPG2 1341 2091 1342 S 9.420e-07 -2.685e-01 167.82 OBSTCLAE >>ASA<< 504 879 556 S 6.533e-07 1.901e+00 70.76 (15625) L-BFGS-B 673 678 678 S 9.274e-07 1.901e+00 161.47 GENCAN 153 406 1356 S 8.675e-07 1.901e+00 130.19 SPG2 734 1081 735 S 9.557e-07 1.901e+00 91.97 NOBNDTOR ASA 575 1052 634 S 7.581e-07 -4.405e-01 80.92 (14884)>>L-BFGS-B<< 265 275 275 S 9.487e-07 -4.405e-01 64.49 GENCAN 85 293 2076 S 9.517e-07 -4.405e-01 187.43 SPG2 1026 1581 1027 S 9.181e-07 -4.405e-01 123.93 TORSIONB >>ASA<< 444 720 453 S 8.763e-07 -4.184e-01 63.54 (14884) L-BFGS-B 416 420 420 S 7.438e-07 -4.184e-01 106.75 GENCAN 61 201 962 S 7.905e-07 -4.184e-01 95.50 SPG2 717 1073 718 S 7.966e-07 -4.184e-01 99.33 TORSIONA ASA 378 720 421 S 9.047e-07 -4.184e-01 60.73 (14884)>>L-BFGS-B<< 246 251 251 S 7.795e-07 -4.184e-01 59.36 GENCAN 76 260 1448 S 4.520e-07 -4.184e-01 142.67 SPG2 888 1359 889 S 9.873e-07 -4.184e-01 123.89 TORSION1 >>ASA<< 462 763 487 S 7.332e-07 -4.257e-01 59.04 (14884) L-BFGS-B 285 294 294 S 8.502e-07 -4.257e-01 63.83 GENCAN 76 261 1382 S 4.464e-07 -4.257e-01 119.48 SPG2 973 1470 974 S 9.872e-07 -4.257e-01 116.82 CHENHARK ASA 58106 116209 58107 S 8.944e-07 -2.000e+07 142.33 !! (1000) L-BFGS-B 12145 12538 12538 S 8.758e-07 -2.000e+00 111.37 !! GENCAN 10435 12285 137169 F 7.560e-06 -2.000e+00 *.** !! >>SPG2<< 21557 37164 21558 S 9.870e-07 -2.000e+00 48.07 !! OBSTCLBL ASA 389 616 416 S 9.994e-07 7.296e+00 51.40 (15625) L-BFGS-B 297 303 303 S 8.201e-07 7.296e+00 73.88 GENCAN 350 1265 1020 S 6.541e-07 7.296e+00 136.10 >>SPG2<< 364 522 365 S 7.709e-07 7.296e+00 45.33 TORSION2 >>ASA<< 339 587 355 S 8.923e-07 -4.257e-01 44.13 (14884) L-BFGS-B 567 573 573 S 5.907e-07 -4.257e-01 137.53 GENCAN 62 198 907 S 8.220e-07 -4.257e-01 79.43 SPG2 1112 1713 1113 S 8.405e-07 -4.257e-01 134.28 OBSTCLBU >>ASA<< 307 463 323 S 8.861e-07 7.296e+00 39.76 (15625) L-BFGS-B 217 224 224 S 9.352e-07 7.296e+00 52.69 GENCAN 127 342 739 S 8.173e-07 7.296e+00 76.89 SPG2 377 545 378 S 9.512e-07 7.296e+00 47.07 OBSTCLBM ASA 311 457 321 S 9.745e-07 7.296e+00 39.22 (15625) L-BFGS-B 171 177 177 S 7.873e-07 7.296e+00 42.66 GENCAN 115 363 522 S 3.324e-07 7.296e+00 60.75 >>SPG2<< 252 350 253 S 8.759e-07 7.296e+00 31.14 OBSTCLAL >>ASA<< 202 326 221 S 4.279e-07 1.901e+00 26.73 (15625) L-BFGS-B 179 186 186 S 8.421e-07 1.901e+00 38.53 GENCAN 67 169 1010 S 8.755e-07 1.901e+00 86.96 SPG2 263 376 264 S 9.980e-07 1.901e+00 32.73 TORSIOND >>ASA<< 180 306 187 S 9.289e-07 -1.204e+00 25.46 (14884) L-BFGS-B 437 445 445 S 7.890e-07 -1.204e+00 99.11 GENCAN 46 141 412 S 6.504e-07 -1.204e+00 40.32 SPG2 331 478 332 S 9.732e-07 -1.204e+00 45.41 TORSION4 >>ASA<< 172 293 179 S 8.962e-07 -1.212e+00 21.27 (14884) L-BFGS-B 427 431 431 S 8.832e-07 -1.212e+00 90.17 GENCAN 47 148 421 S 6.467e-07 -1.212e+00 35.79 SPG2 319 454 320 S 9.088e-07 -1.212e+00 37.71 TORSIONC ASA 166 302 178 S 8.972e-07 -1.204e+00 24.50 (14884)>>L-BFGS-B<< 103 107 107 S 9.806e-07 -1.204e+00 21.27 GENCAN 39 115 482 S 7.691e-07 -1.204e+00 45.04 SPG2 384 566 385 S 7.629e-07 -1.204e+00 53.02 TORSION3 ASA 164 308 176 S 9.633e-07 -1.212e+00 21.32 (14884)>>L-BFGS-B<< 111 115 115 S 9.304e-07 -1.212e+00 20.98 GENCAN 39 115 482 S 7.689e-07 -1.212e+00 39.02 SPG2 266 395 267 S 9.650e-07 -1.212e+00 31.84 TORSIONF >>ASA<< 67 112 71 S 8.256e-07 -2.851e+00 9.35 (14884) L-BFGS-B 347 348 348 S 8.778e-07 -2.851e+00 74.93 GENCAN 22 61 152 S 7.929e-07 -2.851e+00 14.73 SPG2 100 125 101 S 7.196e-07 -2.851e+00 13.23 TORSION5 >>ASA<< 76 136 79 S 9.066e-07 -2.859e+00 9.26 (14884) L-BFGS-B 58 60 60 S 9.289e-07 -2.859e+00 9.76 GENCAN 18 44 151 S 8.986e-07 -2.859e+00 11.97 SPG2 102 147 103 S 4.757e-07 -2.859e+00 12.16 TORSIONE ASA 76 135 79 S 8.387e-07 -2.851e+00 10.62 (14884)>>L-BFGS-B<< 47 51 51 S 9.294e-07 -2.851e+00 8.94 GENCAN 18 44 151 S 8.988e-07 -2.851e+00 13.90 SPG2 96 128 97 S 3.311e-07 -2.851e+00 12.94 BIGGSB1 >>ASA<< 3092 5915 3119 S 9.402e-07 1.500e-02 8.43 (1000) L-BFGS-B 2617 2693 2693 S 9.029e-07 1.500e-02 25.84 GENCAN 1011 4558 94488 S 3.775e-15 1.500e-02 151.58 SPG2 191315 289141 191316 S 1.000e-07 1.501e-02 370.81 TORSION6 >>ASA<< 64 110 70 S 6.952e-07 -2.859e+00 7.98 (14884) L-BFGS-B 370 373 373 S 9.347e-07 -2.859e+00 73.24 GENCAN 23 61 146 S 6.530e-07 -2.859e+00 12.31 SPG2 97 121 98 S 3.853e-07 -2.859e+00 11.11 NCVXBQP3 >>ASA<< 69 107 103 S 7.531e-07 -6.548e+09 2.79 (10000) L-BFGS-B 349 388 388 S 3.588e-01 -6.558e+09 23.26 GENCAN 28 116 107 S 6.978e-07 -6.557e+09 3.34 SPG2 120 126 121 S 9.358e-07 -6.558e+09 4.49 HARKERP2 >>ASA<< 11 40 18 S 4.508e-12 -5.000e-01 2.46 (1000) L-BFGS-B 70 84 84 S 9.592e-14 -5.000e-01 8.88 GENCAN 9 75 20 S 6.987e-11 -5.000e-01 3.73 SPG2 126 189 127 S 4.441e-16 -5.000e-01 15.00 NCVXBQP2 >>ASA<< 48 78 75 S 6.175e-07 -1.334e+10 2.06 (10000) L-BFGS-B 159 178 178 S 1.022e-01 -1.334e+10 10.56 GENCAN 27 105 97 S 7.980e-08 -1.334e+10 3.05 SPG2 85 94 86 S 8.270e-07 -1.334e+10 3.24 NONSCOMP >>ASA<< 34 55 36 S 7.983e-07 5.121e-14 1.58 (10000) L-BFGS-B 55 59 59 S 9.154e-07 2.689e-13 7.65 GENCAN 18 38 84 S 3.746e-07 1.152e-14 3.80 SPG2 50 51 51 S 7.334e-07 3.496e-13 2.03 LINVERSE ASA 53 121 66 S 3.055e-07 6.810e+02 1.21 (1999) L-BFGS-B 708 741 741 S 7.769e-07 6.810e+02 21.86 >>GENCAN<< 14 34 71 S 9.442e-07 6.820e+02 1.11 SPG2 4688 7616 4689 S 9.369e-07 6.810e+02 84.49 MCCORMCK >>ASA<< 12 21 17 S 5.578e-07 -9.133e+03 1.10 (10000) L-BFGS-B 14 15 15 S 9.278e-07 -9.133e+03 2.15 GENCAN 5 18 22 S 1.662e-07 -9.133e+03 1.57 SPG2 19 20 20 S 1.415e-07 -9.133e+03 1.30 S368 >>ASA<< 12 22 17 S 4.549e-07 -1.312e+02 0.72 !! (100) L-BFGS-B 19 61 61 F 1.088e-06 -1.337e+02 *.** !! GENCAN 9 37 31 S 1.384e-11 -1.360e+02 1.39 !! >>SPG2<< 16 19 17 S 1.963e-08 -1.402e+02 0.72 !! HADAMALS >>ASA<< 11 30 16 S 3.632e-07 3.107e+04 0.49 (1024) L-BFGS-B 8 24 24 S 8.433e-09 3.107e+04 0.66 GENCAN 10 18 22 S 4.677e-10 3.107e+04 0.72 SPG2 30 42 31 S 2.249e-07 3.107e+04 0.88 BDEXP ASA 12 25 13 S 5.581e-07 1.820e-04 0.36 (5000) L-BFGS-B 19 21 21 S 6.629e-07 2.216e-04 1.20 >>GENCAN<< 1 12 4 S 0.000e+00 0.000e+00 0.16 SPG2 15 16 16 S 9.408e-07 3.083e-04 0.36 DECONVB >>ASA<< 262 531 300 S 7.030e-07 1.468e-08 0.12 (61) L-BFGS-B 212 215 215 S 7.757e-07 1.035e-08 0.19 GENCAN 86 178 449 S 9.694e-07 2.296e-10 0.21 SPG2 3613 5619 3614 S 9.657e-07 1.275e-08 1.30 CVXBQP1 ASA 13 14 14 S 0.000e+00 2.250e+06 0.47 (10000) L-BFGS-B 1 2 2 S 0.000e+00 2.250e+06 0.11 GENCAN 1 18 4 S 0.000e+00 2.250e+06 0.39 >>SPG2<< 1 2 2 S 2.776e-17 2.250e+06 0.09 NCVXBQP1 ASA 1 12 7 S 0.000e+00 -1.986e+10 0.27 (10000) L-BFGS-B 1 2 2 S 0.000e+00 -1.986e+10 0.11 GENCAN 1 18 4 S 0.000e+00 -1.986e+10 0.38 >>SPG2<< 1 2 2 S 2.776e-17 -1.986e+10 0.09 SINEALI ASA 25 52 59 S 2.865e-07 -4.979e+04 0.08 (500) L-BFGS-B 17 27 27 F 2.129e-05 -4.987e+04 *.** GENCAN 8 19 53 S 4.559e-07 -4.985e+04 0.09 >>SPG2<< 41 46 42 S 7.595e-07 -4.990e+04 0.06 QRTQUAD >>ASA<< 105 211 170 S 8.835e-07 -3.625e+06 0.03 (120) L-BFGS-B 108 168 168 F 1.041e-03 -3.625e+06 *.** GENCAN 33 108 119 F 6.553e-06 -3.625e+06 *.** SPG2 603 1030 604 S 4.759e-07 -3.624e+06 0.10 EXPQUAD ASA 73 153 130 S 5.110e-07 -3.626e+06 0.03 (120) L-BFGS-B 60 84 84 F 4.733e-05 -3.626e+06 *.** GENCAN 17 67 68 F 2.073e-05 -3.626e+06 *.** >>SPG2<< 109 128 110 S 1.340e-07 -3.626e+06 0.02 EXPLIN >>ASA<< 50 101 63 S 3.622e-10 -7.238e+05 0.01 ! (120) L-BFGS-B 37 41 41 F 1.891e-06 -7.238e+05 *.** ! GENCAN 19 68 68 F 7.941e-06 -7.238e+05 *.** ! >>SPG2<< 57 60 58 S 3.000e-07 -7.238e+05 0.01 ! EXPLIN2 >>ASA<< 34 57 41 S 2.288e-10 -7.245e+05 0.01 ! (120)>>L-BFGS-B<< 22 24 24 S 8.295e-07 -7.245e+05 0.01 ! GENCAN 15 45 47 S 5.785e-08 -7.245e+05 0.02 ! >>SPG2<< 57 60 58 S 3.458e-07 -7.245e+05 0.01 ! PROBPENL >>ASA<< 2 5 3 S 1.992e-07 3.992e-07 0.01 ! (500)>>L-BFGS-B<< 1 3 3 S 2.835e-07 3.992e-07 0.01 ! GENCAN 3 8 9 S 1.992e-07 3.992e-07 0.03 ! >>SPG2<< 2 6 3 S 1.022e-07 3.992e-07 0.01 ! PENTDI >>ASA<< 1 3 2 S 0.000e+00 -7.500e-01 0.01 ! (1000)>>L-BFGS-B<< 1 3 3 S 0.000e+00 -7.500e-01 0.01 ! >>GENCAN<< 1 3 2 S 8.882e-16 -7.500e-01 0.01 ! >>SPG2<< 1 3 2 S 0.000e+00 -7.500e-01 0.01 ! HS110 >>ASA<< 1 2 2 S 0.000e+00 -9.990e+09 0.00 ! (50)>>L-BFGS-B<< 1 2 2 S 0.000e+00 -9.990e+09 0.00 ! >>GENCAN<< 1 4 4 S 0.000e+00 -9.990e+09 0.00 ! >>SPG2<< 1 2 2 S 0.000e+00 -9.990e+09 0.00 ! BQPGABIM >>ASA<< 19 44 21 S 8.406e-07 -3.790e-05 0.00 ! (50) L-BFGS-B 25 28 28 S 6.356e-07 -3.790e-05 0.02 ! GENCAN 8 27 34 S 2.052e-07 -3.790e-05 0.01 ! SPG2 37 50 38 S 3.101e-07 -3.790e-05 0.01 ! BQPGASIM >>ASA<< 21 47 22 S 1.788e-07 -5.520e-05 0.00 ! (50) L-BFGS-B 27 32 32 S 8.646e-07 -5.520e-05 0.02 ! GENCAN 6 21 28 S 9.259e-07 -5.520e-05 0.01 ! SPG2 40 53 41 S 9.512e-07 -5.520e-05 0.01 ! SCOND1LS ASA No method without preconditioning solved (1002) L-BFGS-B this problem within 2 hours CPU time GENCAN SPG2 ============================================================================ Problem Method Iter Nfunc Ngrad Nhess Grad Func Seconds (Dim) BQPGAUSS >>P-ASA<< 2843 7403 4568 2 S 9.729e-07 -3.626e-01 285.38 (2003) TRON 214 214 214 214 S 1.567e-07 -3.626e-01 294.82 NOBNDTOR P-ASA 287 411 295 2 S 4.743e-07 -4.405e-01 36.43 (14884) >>TRON<< 39 39 39 39 S 7.272e-08 -4.405e-01 34.62 TORSION1 P-ASA 282 405 289 2 S 3.354e-07 -4.257e-01 35.06 (14884) >>TRON<< 40 40 40 40 S 2.784e-07 -4.257e-01 30.80 TORSIONA >>P-ASA<< 165 285 173 2 S 5.439e-07 -4.184e-01 27.72 (14884) TRON 40 40 40 40 S 1.282e-07 -4.184e-01 33.62 TORSIONB P-ASA 268 397 279 2 S 9.395e-08 -4.184e-01 40.90 (14884) >>TRON<< 25 25 25 25 S 6.948e-07 -4.184e-01 24.22 JNLBRNG1 P-ASA 172 307 184 2 S 2.628e-07 -1.806e-01 31.04 (15625) >>TRON<< 27 27 27 27 S 9.499e-09 -1.806e-01 24.17 SCOND1LS P-ASA 2561 7083 4874 71 S 8.156e-07 3.960e-12 45.14 (1002) >>TRON<< 483 710 483 483 S 1.822e-07 2.785e-13 23.68 OBSTCLAE P-ASA 176 260 183 2 S 7.517e-07 1.901e+00 24.91 (15625) >>TRON<< 28 28 28 28 S 3.077e-07 1.901e+00 22.85 OBSTCLBL P-ASA 257 338 260 2 S 7.832e-07 7.296e+00 32.35 (15625) >>TRON<< 21 21 21 21 S 2.453e-08 7.296e+00 20.59 OBSTCLBU P-ASA 196 262 200 2 S 4.646e-07 7.296e+00 25.56 (15625) >>TRON<< 22 22 22 22 S 5.565e-08 7.296e+00 19.22 TORSION2 P-ASA 182 281 189 2 S 2.907e-07 -4.257e-01 24.92 (14884) >>TRON<< 20 20 20 20 S 4.112e-07 -4.257e-01 18.53 OBSTCLAL >>P-ASA<< 124 176 130 2 S 4.391e-07 1.901e+00 17.46 (15625) TRON 26 26 26 26 S 3.077e-07 1.901e+00 19.95 DGL2_C >>P-ASA<< 304 610 306 6 S 7.748e-07 1.623e+01 15.97 (2500) TRON 32 72 32 32 S 2.035e-07 1.623e+01 88.53 TORSIONC >>P-ASA<< 87 153 93 2 S 3.108e-07 -1.204e+00 15.10 (14884) TRON 21 21 21 21 S 5.848e-07 -1.204e+00 15.85 TORSIOND >>P-ASA<< 93 141 97 2 S 3.066e-07 -1.204e+00 14.67 (14884) TRON 18 18 18 18 S 5.225e-07 -1.204e+00 15.69 TORSION3 >>P-ASA<< 102 163 105 2 S 5.077e-07 -1.212e+00 13.66 (14884) TRON 21 21 21 21 S 5.850e-07 -1.212e+00 14.37 JNLBRNGA >>P-ASA<< 72 143 76 2 S 7.879e-09 -2.685e-01 12.66 (15625) TRON 24 24 24 24 S 1.021e-07 -2.685e-01 19.79 MCCORMCK >>P-ASA<< 108 226 136 3 S 7.389e-07 -9.133e+03 12.42 (10000) TRON 8 1001 8 8 F 1.061e-06 -9.133e+03 *.** TORSION4 >>P-ASA<< 93 137 96 2 S 3.542e-07 -1.212e+00 12.39 (14884) TRON 18 18 18 18 S 4.893e-07 -1.212e+00 14.33 DGL2_B >>P-ASA<< 235 471 237 4 S 9.198e-07 1.623e+01 11.36 (2500) TRON 13 23 13 13 S 4.295e-07 1.623e+01 28.71 JNLBRNG2 >>P-ASA<< 50 110 52 2 S 3.232e-07 -4.150e+00 10.86 (15625) TRON 17 17 17 17 S 1.114e-07 -4.150e+00 14.92 OBSTCLBM P-ASA 106 171 112 2 S 4.629e-07 7.296e+00 16.87 (15625) >>TRON<< 9 9 9 9 S 3.119e-07 7.296e+00 8.73 JNLBRNGB >>P-ASA<< 34 126 35 2 S 2.823e-07 -6.281e+00 8.44 (15625) TRON 11 11 11 11 S 1.591e-08 -6.281e+00 8.99 TORSIONE >>P-ASA<< 37 69 39 2 S 7.297e-07 -2.851e+00 7.04 (14884) TRON 12 12 12 12 S 1.762e-07 -2.851e+00 8.70 TORSIONF >>P-ASA<< 36 51 39 2 S 2.574e-07 -2.851e+00 6.43 (14884) TRON 16 16 16 16 S 1.762e-07 -2.851e+00 14.61 DODC_C >>P-ASA<< 218 445 229 5 S 9.706e-07 -8.893e-03 6.21 (2500) TRON 39 77 39 39 S 5.631e-08 -8.893e-03 9.71 TORSION5 >>P-ASA<< 37 63 39 2 S 5.364e-07 -2.859e+00 5.88 (14884) TRON 12 12 12 12 S 1.762e-07 -2.859e+00 7.87 TORSION6 >>P-ASA<< 38 54 41 2 S 3.954e-07 -2.859e+00 5.77 (14884) TRON 16 16 16 16 S 1.762e-07 -2.859e+00 13.69 DGL2_A >>P-ASA<< 124 249 125 1 S 8.271e-07 1.623e+01 4.75 (2500) TRON 8 8 8 8 S 4.627e-07 1.623e+01 9.04 DODC_A >>P-ASA<< 175 354 182 2 S 9.387e-07 -1.136e-02 4.73 (2500) TRON 27 39 27 27 S 6.624e-07 -1.136e-02 5.59 DMSA_C P-ASA 186 348 195 18 S 6.084e-07 5.161e+00 4.95 (2500) >>TRON<< 22 31 22 22 S 1.078e-07 5.161e+00 3.98 DMSA_B >>P-ASA<< 128 243 138 8 S 3.606e-07 2.289e+00 3.75 (2500) TRON 26 46 26 26 S 7.285e-07 2.289e+00 6.10 NCVXBQP2 >>P-ASA<< 22 62 47 2 S 2.910e-11 -1.334e+10 2.85 (10000) TRON 13 13 13 13 S 5.821e-11 -1.334e+10 5.44 DSSC_B >>P-ASA<< 97 143 98 5 S 4.361e-07 -5.493e+00 2.54 (2500) TRON 23 23 23 23 S 2.394e-07 -5.493e+00 3.87 DSSC_A >>P-ASA<< 72 125 76 6 S 2.951e-07 -5.608e+00 2.53 2500) TRON 15 15 15 15 S 1.049e-07 -5.608e+00 2.85 NCVXBQP3 >>P-ASA<< 34 59 43 2 S 5.821e-11 -6.548e+09 2.31 (10000) TRON 10 10 10 10 S 8.731e-11 -6.559e+09 4.12 LINVERSE >>P-ASA<< 71 142 93 1 S 9.574e-07 6.820e+02 1.80 (1999) TRON 22 39 22 22 S 4.061e-07 6.810e+02 4.12 NONSCOMP >>P-ASA<< 21 34 22 4 S 3.024e-13 3.207e-27 1.72 (10000) TRON 9 9 9 9 S 4.388e-09 2.493e-16 2.36 DSSC_C >>P-ASA<< 65 97 66 4 S 5.203e-07 -5.285e+00 1.69 (2500) TRON 20 20 20 20 S 8.954e-07 -5.285e+00 2.93 DEPT_2 >>P-ASA<< 130 198 134 2 S 6.338e-07 -4.177e-01 1.64 (2500) TRON 20 20 20 20 S 8.265e-07 -4.177e-01 1.93 DODC_B >>P-ASA<< 49 100 51 1 S 7.597e-07 -1.565e-02 1.41 (2500) TRON 17 28 17 17 S 7.379e-08 -1.565e-02 3.88 DMSO_A P-ASA 71 143 72 1 S 7.213e-07 1.892e+00 1.78 (2500) >>TRON<< 8 8 8 8 S 5.581e-07 1.892e+00 1.38 DMSO_C >>P-ASA<< 62 127 65 1 S 8.688e-07 2.477e+00 1.32 (2500) TRON 15 27 15 15 S 2.381e-07 2.477e+00 2.95 DMSA_A >>P-ASA<< 43 88 45 1 S 6.061e-07 1.421e+00 1.25 (2500) TRON 14 18 14 14 S 7.987e-07 1.421e+00 2.78 BIGGSB1 >>P-ASA<< 572 970 573 2 S 1.110e-15 1.500e-02 1.24 (1000) TRON 501 501 501 501 S 1.332e-15 1.500e-02 6.41 DEPT_1 >>P-ASA<< 73 115 75 2 S 5.931e-07 -1.753e-02 1.18 (2500) TRON 17 17 17 17 S 8.588e-08 -1.753e-02 2.07 DPJB_1 >>P-ASA<< 62 121 64 2 S 7.529e-07 -1.794e-01 1.10 (2500) TRON 22 22 22 22 S 8.935e-08 -1.794e-01 2.54 DMSO_B >>P-ASA<< 48 85 49 2 S 7.201e-07 1.964e+00 1.06 (2500) TRON 21 22 21 21 S 5.203e-08 1.964e+00 3.31 NCVXBQP1 P-ASA 1 7 4 1 S 0.000e+00 -1.986e+10 1.22 (10000) >>TRON<< 2 2 2 2 S 0.000e+00 -1.986e+10 0.95 DPJB_2 >>P-ASA<< 35 95 36 2 S 4.942e-07 -4.115e+00 0.81 (2500) TRON 13 13 13 13 S 4.136e-07 -4.115e+00 1.87 CVXBQP1 >>P-ASA<< 13 14 14 0 S 0.000e+00 2.250e+06 0.77 (10000) TRON 2 2 2 2 S 0.000e+00 2.250e+06 0.95 BDEXP >>P-ASA<< 13 27 14 1 S 5.617e-07 1.831e-04 0.76 (5000) TRON 13 13 13 13 S 6.419e-07 1.693e-04 2.71 DPJB_3 >>P-ASA<< 23 77 24 2 S 8.707e-07 -2.019e+01 0.61 (2500) TRON 7 7 7 7 S 3.106e-07 -2.019e+01 0.71 DEPT_3 >>P-ASA<< 38 65 39 2 S 3.077e-07 -1.203e+00 0.57 (2500) TRON 14 14 14 14 S 1.212e-08 -1.203e+00 1.05 DGL1_B >>P-ASA<< 10 27 25 1 S 7.750e-07 -4.810e+04 0.23 (2500) TRON 13 13 13 13 S 6.890e-07 -4.810e+04 1.04 DGL1_A >>P-ASA<< 11 27 22 1 S 8.515e-07 -8.456e+03 0.21 (2500) TRON 13 13 13 13 S 1.158e-07 -8.456e+03 0.91 SINEALI >>P-ASA<< 47 99 84 1 S 8.308e-07 -4.990e+04 0.16 (500) TRON 14 18 14 14 S 1.616e-08 -4.990e+04 0.17 CHENHARK >>P-ASA<< 6 10 7 1 S 1.150e-08 -2.000e+00 0.05 (1000) TRON 267 267 267 267 S 1.732e-14 -2.000e+00 5.73 QRTQUAD >>P-ASA<< 48 99 80 5 S 9.313e-07 -3.625e+06 0.03 (120) TRON 135 265 135 135 S 1.592e-12 -3.624e+06 0.37 PENTDI >>P-ASA<< 1 3 2 0 S 0.000e+00 -7.500e-01 0.03 (1000) TRON 2 2 2 2 S 0.000e+00 -7.500e-01 0.06 EXPQUAD >>P-ASA<< 26 57 33 5 S 4.250e-07 -3.626e+06 0.02 (120) TRON 13 1001 13 13 F 8.132e-06 -3.626e+06 *.** EXPLIN >>P-ASA<< 27 55 39 5 S 6.569e-07 -7.238e+05 0.01! (120) >>TRON<< 13 13 13 13 S 1.368e-09 -7.238e+05 0.01! EXPLIN2 >>P-ASA<< 24 43 31 4 S 2.911e-07 -7.245e+05 0.01! (120) TRON 10 1001 10 10 F 1.590e-06 -7.245e+05 *.**! BQPGABIM >>P-ASA<< 9 24 10 1 S 8.652e-07 -3.790e-05 0.01! (50) >>TRON<< 4 4 4 4 S 5.361e-07 -3.790e-05 0.01! BQPGASIM >>P-ASA<< 11 27 12 1 S 1.700e-07 -5.520e-05 0.01! (50) >>TRON<< 4 4 4 4 S 7.798e-07 -5.520e-05 0.01! =============================================================== In the tables above, we give the total number of iterations, function evaluations, and gradient evaluations for ASA. In the following table we partition this data into two sets corresponding to whether a CG (conjugate gradient) or a GP (gradient projection) iteration is performed. Problem GP Iter CG Iter GP Func CG Func GP Grad CG Grad BDEXP 0 12 0 25 0 13 DECONVB 49 213 79 452 50 250 EXPLIN 18 32 35 66 19 44 EXPLIN2 18 16 25 32 19 22 EXPQUAD 7 66 16 137 7 123 HADAMALS 4 7 10 20 4 12 HS110 1 0 2 0 2 0 LINVERSE 1 52 1 120 1 65 MCCORMCK 2 10 2 19 2 15 NONSCOMP 14 20 15 40 15 21 PROBPENL 0 2 0 5 0 3 QR3DLS 0 39320 0 78642 0 50547 QRTQUAD 11 94 25 186 11 159 S368 6 6 7 15 7 10 SINEALI 0 25 0 52 0 59 BIGGSB1 556 2536 838 5077 557 2562 BQPGABIM 6 13 18 26 7 14 BQPGASIM 7 14 19 28 8 14 BQPGAUSS 432 30496 1342 63979 433 51496 CHENHARK 5 58101 7 116202 6 58101 CVXBQP1 13 0 14 0 14 0 HARKERP2 4 7 5 35 5 13 JNLBRNG1 645 230 887 527 646 254 JNLBRNG2 58 681 114 1394 59 693 JNLBRNGA 58 501 94 1003 59 507 JNLBRNGB 100 2881 241 5754 101 2938 NCVXBQP1 0 1 0 12 0 7 NCVXBQP2 18 30 22 56 18 57 NCVXBQP3 29 40 40 67 30 73 NOBNDTOR 309 266 425 627 310 324 OBSTCLAE 322 182 442 437 323 233 OBSTCLAL 127 75 160 166 128 93 OBSTCLBL 277 112 360 256 278 138 OBSTCLBM 238 73 295 162 239 82 OBSTCLBU 233 74 294 169 234 89 TORSION1 299 163 407 356 300 187 TORSION2 178 161 251 336 179 176 TORSION3 61 103 92 216 62 114 TORSION4 81 91 106 187 82 97 TORSION5 26 50 36 100 27 52 TORSION6 34 30 43 67 35 35 TORSIONA 203 175 297 423 204 217 TORSIONB 239 205 305 415 240 213 TORSIONC 73 93 107 195 74 104 TORSIOND 79 101 100 206 80 107 TORSIONE 26 50 36 99 27 52 TORSIONF 31 36 37 75 32 39 ODNAMUR 20121 56060 33876 107187 20122 86669 PENTDI 1 0 3 0 2 0 DEPT_1 88 116 137 247 89 119 DEPT_2 116 131 157 266 117 134 DEPT_3 42 58 60 122 43 61 DPJB_1 45 317 76 653 45 328 DPJB_2 24 737 49 1427 25 791 DPJB_3 13 3530 35 6447 14 4170 DMSA_A 0 205 0 411 0 206 DMSA_B 34 476 53 954 34 484 DMSA_C 227 576 398 1263 227 748 DMSO_A 0 241 0 483 0 242 DMSO_B 16 221 18 443 16 223 DMSO_C 0 340 0 681 0 341 DODC_A 0 320 0 641 0 321 DODC_B 0 242 0 486 0 244 DODC_C 0 286 0 573 0 287 DSSC_A 79 203 108 416 80 224 DSSC_B 64 146 78 292 65 150 DSSC_C 50 85 56 169 51 89 DGL1_A 0 20661 0 30584 0 31421 DGL1_B 0 14225 0 26054 0 16633 DGL2_A 0 2503 0 5006 0 2506 DGL2_B 0 2966 0 5933 0 2968 DGL2_C 0 2934 0 5869 0 2936