Test Problem Results For: Limited Memory Conjugate Gradients by William W. Hager and Hongchao Zhang L-CG_DESCENT - Limited memory conjugate gradient algorithm developed in the paper at www.math.lsu.edu/~hozhang/papers/lcg.pdf. This is CG_DESCENT 6.0 with memory = 11. L-BFGS - Limited memory BFGS algorithm (Liu and Nocedal) implemented using the CG_DESCENT line search. This corresponds to running CG_DESCENT 6.0 with Parm->LBFGS = TRUE and memory = 11. CG_DESCENT 5.3 - Version 5.3 of CG_DESCENT. This corresponds to running CG_DESCENT 6.0 with memory = 0. Iter - Number of iterations Nfunc - Number of function evaluations Ngrad - Number of gradient evaluations S - Status returned by the code 0 = error tolerance achieved 4 = line search failure Grad - Final gradient (sup-norm) Func - Final function value Seconds - Solution time in seconds Stopping condition: ||g_k||_{\infty} <= 1.e-6 Test set consists of the 145 CUTEr unconstrained optimization problems for which this stopping criterion could be achieved. The 15 problems where this criterion could not be achieved were: ARGLINC, FLETCBV3, FLETCHBV, HYDC20LS, INDEF, MEYER3, MODBEALE, NONCVXUN, NONMSQRT, OSCIGRAD, SBRYBND, SCOSINE, SCURLY10, SCURLY20, SCURLY30 Computer: Dell Precision T7500 with 96 GB memory and dual six core Intel Xeon Processors (3.46 GZ). Only one core was used. ===================================================================================== Problem Method Iter Nfunc Ngrad S Grad Func Seconds (Dim) ===================================================================================== AKIVA L-CG_DESCENT 10 21 11 0 4.847e-09 6.166e+00 0.000 2 L-BFGS 10 21 11 0 4.847e-09 6.166e+00 0.000 CG_DESCENT 5.3 10 22 12 0 1.917e-07 6.166e+00 0.000 ALLINITU L-CG_DESCENT 12 29 18 0 3.384e-08 5.744e+00 0.001 4 L-BFGS 12 29 18 0 3.384e-08 5.744e+00 0.000 CG_DESCENT 5.3 12 27 16 0 2.390e-07 5.744e+00 0.000 ARGLINA L-CG_DESCENT 1 3 2 0 1.241e-11 2.000e+02 0.002 200 L-BFGS 1 3 2 0 1.241e-11 2.000e+02 0.002 CG_DESCENT 5.3 1 3 2 0 1.241e-11 2.000e+02 0.002 ARGLINB L-CG_DESCENT 5 13 13 0 8.338e-09 9.963e+01 0.007 200 L-BFGS 4 68 67 4 2.993e-06 9.963e+01 0.031 CG_DESCENT 5.3 5 13 13 0 8.338e-09 9.963e+01 0.008 ARWHEAD L-CG_DESCENT 7 15 8 0 9.912e-07 0.000e+00 0.005 5000 L-BFGS 7 15 8 0 2.257e-07 0.000e+00 0.006 CG_DESCENT 5.3 10 20 16 0 6.824e-11 0.000e+00 0.008 BARD L-CG_DESCENT 16 33 17 0 3.673e-09 8.215e-03 0.000 3 L-BFGS 16 33 17 0 3.673e-09 8.215e-03 0.000 CG_DESCENT 5.3 21 44 23 0 1.912e-07 8.215e-03 0.000 BDQRTIC L-CG_DESCENT 136 273 237 0 9.841e-07 2.001e+04 0.156 5000 L-BFGS 83 154 119 0 7.148e-07 2.001e+04 0.091 CG_DESCENT 5.3 761 1530 846 0 8.563e-07 2.001e+04 0.597 BEALE L-CG_DESCENT 15 31 16 0 4.499e-08 2.727e-15 0.000 2 L-BFGS 15 31 16 0 4.499e-08 2.727e-15 0.000 CG_DESCENT 5.3 18 37 19 0 1.497e-07 4.297e-14 0.000 BIGGS6 L-CG_DESCENT 27 57 31 0 2.514e-08 5.656e-03 0.000 6 L-BFGS 27 57 31 0 2.514e-08 5.656e-03 0.000 CG_DESCENT 5.3 85 177 93 0 9.159e-07 5.656e-03 0.001 BOX3 L-CG_DESCENT 11 24 13 0 7.584e-07 3.819e-13 0.000 3 L-BFGS 11 24 13 0 7.584e-07 3.819e-13 0.000 CG_DESCENT 5.3 13 27 14 0 6.003e-07 1.707e-10 0.001 BOX L-CG_DESCENT 8 25 19 0 1.669e-07 -1.865e+03 0.033 10000 L-BFGS 9 26 20 0 9.468e-10 -1.865e+03 0.037 CG_DESCENT 5.3 14 35 25 0 2.337e-08 -1.865e+03 0.045 BRKMCC L-CG_DESCENT 5 11 6 0 6.220e-08 1.690e-01 0.000 2 L-BFGS 5 11 6 0 6.220e-08 1.690e-01 0.000 CG_DESCENT 5.3 4 9 5 0 5.272e-07 1.690e-01 0.000 BROWNAL L-CG_DESCENT 9 25 18 0 4.540e-08 2.704e-18 0.005 200 L-BFGS 4 9 5 0 6.663e-07 1.473e-09 0.001 CG_DESCENT 5.3 12 28 17 0 1.392e-07 6.562e-11 0.005 BROWNBS L-CG_DESCENT 13 26 15 0 0.000e+00 0.000e+00 0.000 2 L-BFGS 13 26 15 0 0.000e+00 0.000e+00 0.000 CG_DESCENT 5.3 16 40 33 0 8.882e-10 1.972e-31 0.000 BROWNDEN L-CG_DESCENT 16 31 19 0 1.282e-07 8.582e+04 0.001 4 L-BFGS 16 31 19 0 1.282e-07 8.582e+04 0.000 CG_DESCENT 5.3 38 74 48 0 9.083e-07 8.582e+04 0.000 BROYDN7D L-CG_DESCENT 1402 2793 1419 0 7.668e-07 2.006e+03 3.783 5000 L-BFGS 1548 3086 1563 0 7.332e-07 1.987e+03 4.325 CG_DESCENT 5.3 1416 2819 1435 0 9.653e-07 2.016e+03 3.720 BRYBND L-CG_DESCENT 85 174 90 0 4.970e-07 2.559e-14 0.087 5000 L-BFGS 38 79 42 0 3.380e-07 3.529e-14 0.044 CG_DESCENT 5.3 91 186 96 0 6.659e-07 1.169e-13 0.087 CHAINWOO L-CG_DESCENT 318 619 373 0 8.525e-07 4.573e+00 0.228 4000 L-BFGS 348 662 415 0 9.551e-07 4.573e+00 0.278 CG_DESCENT 5.3 542 994 671 0 8.207e-07 1.133e+01 0.363 CHNROSNB L-CG_DESCENT 287 564 299 0 5.414e-07 6.818e-14 0.002 50 L-BFGS 216 427 223 0 5.565e-07 1.582e-13 0.002 CG_DESCENT 5.3 287 564 299 0 5.414e-07 6.818e-14 0.002 CLIFF L-CG_DESCENT 18 70 54 0 2.316e-09 1.998e-01 0.000 2 L-BFGS 18 70 54 0 2.316e-09 1.998e-01 0.000 CG_DESCENT 5.3 19 40 21 0 6.352e-08 1.998e-01 0.000 COSINE L-CG_DESCENT 11 39 32 0 2.074e-07 -9.999e+03 0.049 10000 L-BFGS 12 40 32 0 5.988e-08 -9.999e+03 0.052 CG_DESCENT 5.3 11 39 32 0 1.668e-07 -9.999e+03 0.048 CRAGGLVY L-CG_DESCENT 103 197 147 0 9.092e-07 1.688e+03 0.176 5000 L-BFGS 96 178 125 0 9.081e-07 1.688e+03 0.161 CG_DESCENT 5.3 103 197 147 0 9.556e-07 1.688e+03 0.169 CUBE L-CG_DESCENT 32 77 47 0 1.225e-09 1.269e-21 0.000 2 L-BFGS 32 77 47 0 1.225e-09 1.269e-21 0.000 CG_DESCENT 5.3 33 80 49 0 4.697e-08 6.059e-15 0.000 CURLY10 L-CG_DESCENT 47808 67294 76156 0 9.946e-07 -1.003e+06 67.553 10000 L-BFGS 45569 65091 71635 0 9.812e-07 -1.003e+06 79.169 CG_DESCENT 5.3 47795 67281 76130 0 9.787e-07 -1.003e+06 67.034 CURLY20 L-CG_DESCENT 66587 89245 110540 0 9.824e-07 -1.003e+06 154.113 10000 L-BFGS 69925 92436 117358 0 9.978e-07 -1.003e+06 186.162 CG_DESCENT 5.3 62389 85060 102131 0 9.873e-07 -1.003e+06 142.795 CURLY30 L-CG_DESCENT 79030 102516 134682 0 8.937e-07 -1.003e+06 258.105 10000 L-BFGS 79228 102778 135491 0 9.570e-07 -1.003e+06 285.854 CG_DESCENT 5.3 75438 98914 127490 0 9.749e-07 -1.003e+06 243.703 DECONVU L-CG_DESCENT 475 951 476 0 9.184e-07 1.189e-08 0.009 61 L-BFGS 208 417 209 0 8.924e-07 2.171e-10 0.004 CG_DESCENT 5.3 475 951 476 0 9.078e-07 1.184e-08 0.008 DENSCHNA L-CG_DESCENT 9 19 10 0 3.527e-08 3.167e-16 0.000 2 L-BFGS 9 19 10 0 3.527e-08 3.167e-16 0.000 CG_DESCENT 5.3 9 19 10 0 4.825e-08 7.355e-16 0.000 DENSCHNB L-CG_DESCENT 7 15 8 0 1.034e-08 3.641e-17 0.000 2 L-BFGS 7 15 8 0 1.034e-08 3.641e-17 0.001 CG_DESCENT 5.3 8 17 9 0 4.131e-07 4.702e-14 0.000 DENSCHNC L-CG_DESCENT 12 26 14 0 3.276e-09 3.253e-19 0.000 2 L-BFGS 12 26 14 0 3.276e-09 3.253e-19 0.001 CG_DESCENT 5.3 12 27 15 0 4.143e-07 1.834e-01 0.000 DENSCHND L-CG_DESCENT 47 98 51 0 8.483e-07 4.331e-10 0.000 3 L-BFGS 47 98 51 0 8.483e-07 4.331e-10 0.001 CG_DESCENT 5.3 45 97 54 0 6.115e-07 8.800e-09 0.000 DENSCHNE L-CG_DESCENT 18 49 32 0 2.864e-08 2.504e-16 0.000 3 L-BFGS 18 49 32 0 2.864e-08 2.504e-16 0.000 CG_DESCENT 5.3 11 33 24 0 1.063e-07 5.413e-15 0.000 DENSCHNF L-CG_DESCENT 8 17 9 0 6.455e-07 2.126e-15 0.000 2 L-BFGS 8 17 9 0 6.455e-07 2.126e-15 0.001 CG_DESCENT 5.3 11 24 13 0 6.614e-08 1.104e-17 0.000 DIXMAANA L-CG_DESCENT 7 15 8 0 4.831e-12 1.000e+00 0.002 3000 L-BFGS 7 15 8 0 3.356e-11 1.000e+00 0.003 CG_DESCENT 5.3 7 15 8 0 2.901e-08 1.000e+00 0.003 DIXMAANB L-CG_DESCENT 6 13 7 0 8.977e-08 1.000e+00 0.003 3000 L-BFGS 8 19 12 0 6.309e-08 1.000e+00 0.004 CG_DESCENT 5.3 6 13 7 0 8.977e-08 1.000e+00 0.002 DIXMAANC L-CG_DESCENT 6 13 7 0 7.033e-07 1.000e+00 0.002 3000 L-BFGS 8 19 12 0 8.193e-07 1.000e+00 0.004 CG_DESCENT 5.3 6 13 7 0 7.033e-07 1.000e+00 0.003 DIXMAAND L-CG_DESCENT 7 15 8 0 7.356e-07 1.000e+00 0.003 3000 L-BFGS 10 25 17 0 8.933e-08 1.000e+00 0.006 CG_DESCENT 5.3 7 15 8 0 7.356e-07 1.000e+00 0.002 DIXMAANE L-CG_DESCENT 222 239 429 0 9.840e-07 1.000e+00 0.104 3000 L-BFGS 226 262 418 0 9.585e-07 1.000e+00 0.122 CG_DESCENT 5.3 222 239 429 0 9.840e-07 1.000e+00 0.099 DIXMAANF L-CG_DESCENT 161 323 162 0 8.856e-07 1.000e+00 0.051 3000 L-BFGS 206 415 210 0 9.327e-07 1.000e+00 0.085 CG_DESCENT 5.3 161 323 162 0 8.856e-07 1.000e+00 0.048 DIXMAANG L-CG_DESCENT 157 315 158 0 9.442e-07 1.000e+00 0.050 3000 L-BFGS 202 407 206 0 9.241e-07 1.000e+00 0.083 CG_DESCENT 5.3 157 315 158 0 9.442e-07 1.000e+00 0.048 DIXMAANH L-CG_DESCENT 173 347 174 0 9.920e-07 1.000e+00 0.055 3000 L-BFGS 194 391 198 0 9.381e-07 1.000e+00 0.079 CG_DESCENT 5.3 173 347 174 0 9.920e-07 1.000e+00 0.052 DIXMAANI L-CG_DESCENT 3856 3926 7644 0 9.682e-07 1.000e+00 1.767 3000 L-BFGS 3572 3658 7065 0 9.907e-07 1.000e+00 2.007 CG_DESCENT 5.3 3592 3662 7116 0 9.989e-07 1.000e+00 1.633 DIXMAANJ L-CG_DESCENT 327 655 328 0 9.866e-07 1.000e+00 0.102 3000 L-BFGS 2580 5163 2584 0 9.741e-07 1.000e+00 1.046 CG_DESCENT 5.3 327 655 328 0 9.864e-07 1.000e+00 0.098 DIXMAANK L-CG_DESCENT 43 87 44 0 7.846e-07 1.000e+00 0.001 15 L-BFGS 38 79 42 0 8.065e-07 1.000e+00 0.000 CG_DESCENT 5.3 43 87 44 0 7.846e-07 1.000e+00 0.000 DIXMAANL L-CG_DESCENT 237 475 238 0 9.671e-07 1.000e+00 0.076 3000 L-BFGS 993 1989 997 0 9.484e-07 1.000e+00 0.404 CG_DESCENT 5.3 237 475 238 0 9.669e-07 1.000e+00 0.072 DIXON3DQ L-CG_DESCENT 10000 10007 19995 0 6.664e-08 2.914e-13 6.650 10000 L-BFGS 10000 10007 19995 0 3.291e-08 1.065e-13 9.999 CG_DESCENT 5.3 10000 10007 19995 0 5.299e-08 1.203e-13 6.581 DJTL L-CG_DESCENT 82 917 880 0 8.865e-09 -8.952e+03 0.001 2 L-BFGS 82 917 880 0 8.865e-09 -8.952e+03 0.002 CG_DESCENT 5.3 93 770 714 0 3.521e-07 -8.952e+03 0.000 DQDRTIC L-CG_DESCENT 5 11 6 0 1.995e-08 3.481e-17 0.004 5000 L-BFGS 6 13 7 0 3.876e-19 8.020e-40 0.005 CG_DESCENT 5.3 5 11 6 0 2.018e-08 3.485e-17 0.003 DQRTIC L-CG_DESCENT 17 37 21 0 7.051e-07 2.759e-06 0.007 5000 L-BFGS 41 85 45 0 6.163e-07 3.292e-09 0.018 CG_DESCENT 5.3 17 37 21 0 7.051e-07 2.759e-06 0.006 EDENSCH L-CG_DESCENT 26 52 38 0 7.012e-07 1.200e+04 0.010 2000 L-BFGS 27 55 35 0 6.577e-07 1.200e+04 0.012 CG_DESCENT 5.3 26 52 38 0 6.796e-07 1.200e+04 0.010 EG2 L-CG_DESCENT 5 11 6 0 1.243e-08 -9.989e+02 0.001 1000 L-BFGS 4 9 5 0 1.206e-07 -9.989e+02 0.000 CG_DESCENT 5.3 5 11 6 0 1.243e-08 -9.989e+02 0.001 EIGENALS L-CG_DESCENT 10083 18020 12244 0 7.589e-07 3.261e-10 87.571 2550 L-BFGS 19673 36639 22395 0 8.974e-07 2.260e-11 162.959 CG_DESCENT 5.3 10226 18494 12199 0 8.078e-07 7.302e-11 86.164 EIGENBLS L-CG_DESCENT 15301 30603 15302 0 4.992e-07 1.916e-06 111.508 2550 L-BFGS 22475 44951 22476 0 9.891e-07 4.875e-09 177.466 CG_DESCENT 5.3 16092 32185 16093 0 8.254e-07 1.914e-06 121.234 EIGENCLS L-CG_DESCENT 10136 19292 11118 0 9.995e-07 2.366e-11 93.084 2652 L-BFGS 12611 25225 12615 0 9.392e-07 7.056e-12 113.276 CG_DESCENT 5.3 10236 19639 11071 0 9.040e-07 1.945e-11 90.790 ENGVAL1 L-CG_DESCENT 27 50 36 0 9.328e-07 5.549e+03 0.020 5000 L-BFGS 17 34 23 0 5.868e-07 5.549e+03 0.015 CG_DESCENT 5.3 27 50 36 0 9.052e-07 5.549e+03 0.019 ENGVAL2 L-CG_DESCENT 26 61 37 0 8.236e-07 1.034e-16 0.000 3 L-BFGS 26 61 37 0 8.236e-07 1.034e-16 0.000 CG_DESCENT 5.3 76 161 88 0 5.682e-07 3.185e-14 0.000 ERRINROS L-CG_DESCENT 380 773 425 0 5.157e-07 3.990e+01 0.003 50 L-BFGS 108 214 125 0 6.921e-07 3.990e+01 0.001 CG_DESCENT 5.3 637 1274 669 0 8.420e-07 3.990e+01 0.004 EXPFIT L-CG_DESCENT 13 29 16 0 4.208e-07 2.405e-01 0.000 2 L-BFGS 13 29 16 0 4.208e-07 2.405e-01 0.000 CG_DESCENT 5.3 15 34 20 0 1.758e-07 2.405e-01 0.000 EXTROSNB L-CG_DESCENT 3808 7759 3982 0 9.055e-07 3.070e-07 0.324 1000 L-BFGS 6005 12200 6196 0 5.950e-07 1.052e-09 0.628 CG_DESCENT 5.3 6879 13839 6975 0 8.515e-07 2.965e-07 0.494 FLETCBV2 L-CG_DESCENT 0 1 1 0 7.996e-08 -5.003e-01 0.001 5000 L-BFGS 0 1 1 0 7.996e-08 -5.003e-01 0.001 CG_DESCENT 5.3 0 1 1 0 7.996e-08 -5.003e-01 0.001 FLETCHCR L-CG_DESCENT 152 290 176 0 5.833e-07 7.129e-15 0.019 1000 L-BFGS 48 99 52 0 8.101e-07 1.397e-15 0.007 CG_DESCENT 5.3 152 290 176 0 5.833e-07 7.129e-15 0.018 FMINSRF2 L-CG_DESCENT 346 693 347 0 9.441e-07 1.000e+00 0.278 5625 L-BFGS 294 590 296 0 9.636e-07 1.000e+00 0.283 CG_DESCENT 5.3 346 693 347 0 9.441e-07 1.000e+00 0.268 FMINSURF L-CG_DESCENT 473 947 474 0 9.770e-07 1.000e+00 0.402 5625 L-BFGS 413 828 415 0 8.754e-07 1.000e+00 0.418 CG_DESCENT 5.3 473 947 474 0 9.770e-07 1.000e+00 0.388 FREUROTH L-CG_DESCENT 25 51 38 0 3.333e-07 6.082e+05 0.030 5000 L-BFGS 21 48 36 0 5.261e-07 6.082e+05 0.029 CG_DESCENT 5.3 123 190 198 0 4.283e-08 6.082e+05 0.131 GENHUMPS L-CG_DESCENT 6413 12841 6432 0 1.880e-07 1.649e-13 13.941 5000 L-BFGS 6188 13396 7369 0 3.646e-07 1.918e-12 15.345 CG_DESCENT 5.3 6436 12890 6458 0 8.125e-07 4.743e-12 14.015 GENROSE L-CG_DESCENT 1078 2167 1101 0 7.638e-07 1.000e+00 0.062 500 L-BFGS 1027 2061 1062 0 8.342e-07 1.000e+00 0.071 CG_DESCENT 5.3 1072 2150 1086 0 8.316e-07 1.000e+00 0.058 GROWTHLS L-CG_DESCENT 143 425 299 0 3.317e-07 1.004e+00 0.001 3 L-BFGS 143 425 299 0 3.317e-07 1.004e+00 0.003 CG_DESCENT 5.3 441 997 596 0 1.835e-07 1.004e+00 0.003 GULF L-CG_DESCENT 43 97 56 0 9.833e-08 1.841e-11 0.004 3 L-BFGS 43 97 56 0 9.833e-08 1.841e-11 0.007 CG_DESCENT 5.3 94 198 105 0 4.870e-07 3.444e-09 0.009 HAIRY L-CG_DESCENT 36 99 65 0 7.961e-11 2.000e+01 0.001 2 L-BFGS 36 99 65 0 7.961e-11 2.000e+01 0.000 CG_DESCENT 5.3 14 35 24 0 1.044e-07 2.000e+01 0.000 HATFLDD L-CG_DESCENT 20 43 24 0 1.936e-07 2.547e-07 0.000 3 L-BFGS 20 43 24 0 1.936e-07 2.547e-07 0.000 CG_DESCENT 5.3 40 98 61 0 1.934e-07 6.617e-08 0.000 HATFLDE L-CG_DESCENT 30 72 45 0 1.067e-07 5.120e-07 0.000 3 L-BFGS 30 72 45 0 1.067e-07 5.120e-07 0.000 CG_DESCENT 5.3 53 120 72 0 7.828e-07 5.120e-07 0.000 HATFLDFL L-CG_DESCENT 39 92 55 0 6.758e-07 6.313e-05 0.000 3 L-BFGS 39 92 55 0 6.758e-07 6.313e-05 0.000 CG_DESCENT 5.3 39 89 52 0 8.645e-07 6.357e-05 0.000 HEART6LS L-CG_DESCENT 684 1576 941 0 5.563e-07 2.646e-10 0.002 6 L-BFGS 684 1576 941 0 5.563e-07 2.646e-10 0.001 CG_DESCENT 5.3 2570 5841 3484 0 2.421e-07 1.305e-10 0.004 HEART8LS L-CG_DESCENT 249 524 278 0 5.403e-07 6.388e-14 0.000 8 L-BFGS 249 524 278 0 5.403e-07 6.388e-14 0.000 CG_DESCENT 5.3 378 789 421 0 3.684e-08 1.768e-17 0.001 HELIX L-CG_DESCENT 23 49 27 0 3.135e-07 1.604e-15 0.000 3 L-BFGS 23 49 27 0 3.135e-07 1.604e-15 0.000 CG_DESCENT 5.3 44 90 46 0 6.444e-07 2.427e-13 0.000 HIELOW L-CG_DESCENT 14 31 18 0 4.712e-09 8.742e+02 0.027 3 L-BFGS 14 31 18 0 4.712e-09 8.742e+02 0.027 CG_DESCENT 5.3 60 118 84 0 6.240e-09 8.742e+02 0.127 HILBERTA L-CG_DESCENT 2 5 3 0 2.220e-16 5.752e-32 0.000 2 L-BFGS 2 5 3 0 2.220e-16 5.752e-32 0.000 CG_DESCENT 5.3 2 5 3 0 3.331e-16 7.396e-32 0.000 HILBERTB L-CG_DESCENT 4 9 5 0 2.272e-09 9.948e-19 0.001 10 L-BFGS 4 9 5 0 2.272e-09 9.948e-19 0.000 CG_DESCENT 5.3 4 9 5 0 2.272e-09 9.948e-19 0.000 HIMMELBB L-CG_DESCENT 10 28 21 0 2.375e-07 9.295e-13 0.000 2 L-BFGS 10 28 21 0 2.375e-07 9.295e-13 0.000 CG_DESCENT 5.3 11 23 12 0 1.084e-08 1.584e-15 0.001 HIMMELBF L-CG_DESCENT 26 60 36 0 3.759e-07 3.186e+02 0.001 4 L-BFGS 26 60 36 0 3.759e-07 3.186e+02 0.001 CG_DESCENT 5.3 293 590 358 0 1.642e-07 3.186e+02 0.001 HIMMELBG L-CG_DESCENT 8 20 13 0 5.518e-07 3.173e-14 0.000 2 L-BFGS 8 20 13 0 5.518e-07 3.173e-14 0.000 CG_DESCENT 5.3 10 24 15 0 3.688e-10 1.773e-20 0.000 HIMMELBH L-CG_DESCENT 7 16 9 0 2.892e-11 -1.000e+00 0.000 2 L-BFGS 7 16 9 0 2.892e-11 -1.000e+00 0.000 CG_DESCENT 5.3 7 16 9 0 1.381e-07 -1.000e+00 0.000 HUMPS L-CG_DESCENT 53 165 120 0 8.552e-07 3.682e-12 0.000 2 L-BFGS 53 165 120 0 8.552e-07 3.682e-12 0.000 CG_DESCENT 5.3 48 140 101 0 8.774e-07 3.916e-12 0.000 JENSMP L-CG_DESCENT 15 33 22 0 5.302e-10 1.244e+02 0.000 2 L-BFGS 15 33 22 0 5.302e-10 1.244e+02 0.001 CG_DESCENT 5.3 13 29 19 0 4.206e-09 1.244e+02 0.000 JIMACK L-CG_DESCENT 8309 16619 8310 0 9.530e-07 8.668e-01 1007.761 3549 L-BFGS 8170 16341 8171 0 9.703e-07 8.668e-01 992.642 CG_DESCENT 5.3 8319 16639 8320 0 9.128e-07 8.668e-01 1010.961 KOWOSB L-CG_DESCENT 17 39 23 0 3.704e-07 3.078e-04 0.000 4 L-BFGS 17 39 23 0 3.704e-07 3.078e-04 0.000 CG_DESCENT 5.3 66 139 76 0 8.818e-07 3.078e-04 0.000 LIARWHD L-CG_DESCENT 21 45 25 0 2.209e-07 1.284e-18 0.013 5000 L-BFGS 17 37 21 0 0.000e+00 0.000e+00 0.013 CG_DESCENT 5.3 24 49 25 0 1.040e-08 9.451e-21 0.013 LOGHAIRY L-CG_DESCENT 27 81 58 0 1.762e-10 1.823e-01 0.001 2 L-BFGS 27 81 58 0 1.762e-10 1.823e-01 0.000 CG_DESCENT 5.3 46 136 97 0 7.562e-08 1.823e-01 0.000 MANCINO L-CG_DESCENT 11 23 12 0 7.239e-08 9.245e-21 0.061 100 L-BFGS 9 19 10 0 1.576e-07 3.048e-20 0.050 CG_DESCENT 5.3 11 23 12 0 7.239e-08 9.245e-21 0.061 MARATOSB L-CG_DESCENT 1145 3657 2779 0 3.216e-07 -1.000e+00 0.001 2 L-BFGS 1145 3657 2779 0 3.216e-07 -1.000e+00 0.001 CG_DESCENT 5.3 946 2911 2191 0 3.230e-09 -1.000e+00 0.001 MEXHAT L-CG_DESCENT 20 56 39 0 4.934e-09 -4.001e-02 0.000 2 L-BFGS 20 56 39 0 4.934e-09 -4.001e-02 0.000 CG_DESCENT 5.3 27 61 36 0 3.014e-07 -4.001e-02 0.000 MOREBV L-CG_DESCENT 161 168 317 0 9.941e-07 1.086e-10 0.109 5000 L-BFGS 161 168 317 0 9.941e-07 1.086e-10 0.131 CG_DESCENT 5.3 161 168 317 0 9.941e-07 1.086e-10 0.103 MSQRTALS L-CG_DESCENT 2905 5815 2911 0 7.843e-07 6.994e-10 3.560 1024 L-BFGS 2748 5501 2754 0 9.337e-07 6.465e-10 3.469 CG_DESCENT 5.3 2905 5815 2911 0 7.843e-07 6.994e-10 3.571 MSQRTBLS L-CG_DESCENT 2280 4525 2326 0 9.846e-07 3.092e-10 2.835 1024 L-BFGS 2114 4181 2172 0 9.799e-07 2.192e-10 2.718 CG_DESCENT 5.3 2449 4903 2455 0 9.619e-07 9.325e-11 3.014 NCB20B L-CG_DESCENT 2935 4694 6006 0 9.983e-07 7.351e+03 50.384 5000 L-BFGS 1257 2074 2130 0 9.340e-07 7.351e+03 18.657 CG_DESCENT 5.3 4595 7088 9521 0 9.495e-07 7.351e+03 78.554 NCB20 L-CG_DESCENT 4437 8368 5632 0 8.510e-07 -1.118e+03 54.918 5010 L-BFGS 204 371 265 0 9.821e-07 -1.183e+03 2.539 CG_DESCENT 5.3 391 744 491 0 8.759e-07 -1.118e+03 4.783 NONCVXU2 L-CG_DESCENT 7161 13419 8066 0 9.933e-07 1.159e+04 7.960 5000 L-BFGS 6307 11899 7024 0 9.910e-07 1.158e+04 7.925 CG_DESCENT 5.3 7120 13368 7994 0 9.363e-07 1.159e+04 7.786 NONDIA L-CG_DESCENT 7 25 20 0 8.885e-10 3.955e-25 0.008 5000 L-BFGS 7 17 11 0 4.367e-10 2.260e-25 0.005 CG_DESCENT 5.3 12 31 20 0 1.082e-08 1.339e-18 0.008 NONDQUAR L-CG_DESCENT 1942 3888 1947 0 9.851e-07 4.677e-06 0.703 5000 L-BFGS 2873 5751 2880 0 8.281e-07 5.002e-07 1.379 CG_DESCENT 5.3 2059 4121 2062 0 8.435e-07 2.391e-06 0.640 OSBORNEA L-CG_DESCENT 96 211 119 0 2.318e-08 5.465e-05 0.001 5 L-BFGS 96 211 119 0 2.318e-08 5.465e-05 0.001 CG_DESCENT 5.3 2170 4382 2230 0 8.421e-07 5.465e-05 0.020 OSBORNEB L-CG_DESCENT 62 127 65 0 4.427e-07 4.014e-02 0.003 11 L-BFGS 62 127 65 0 4.427e-07 4.014e-02 0.003 CG_DESCENT 5.3 214 432 219 0 7.485e-07 4.014e-02 0.009 OSCIPATH L-CG_DESCENT 310990 670953 367325 0 9.242e-07 2.249e-05 0.466 10 L-BFGS 310990 670953 367325 0 9.242e-07 2.249e-05 0.452 CG_DESCENT 5.3 1298893 1429622 2771841 0 9.937e-07 2.351e-05 1.764 PALMER1C L-CG_DESCENT 11 26 26 0 1.254e-09 9.761e-02 0.000 8 L-BFGS 11 26 26 0 1.254e-09 9.761e-02 0.000 CG_DESCENT 5.3 126827 224532 378489 0 9.454e-07 9.761e-02 0.756 PALMER1D L-CG_DESCENT 11 25 25 0 5.819e-08 6.527e-01 0.001 7 L-BFGS 11 25 25 0 5.819e-08 6.527e-01 0.000 CG_DESCENT 5.3 3971 5428 10036 0 8.632e-07 6.527e-01 0.018 PALMER2C L-CG_DESCENT 11 21 21 0 1.257e-08 1.437e-02 0.000 8 L-BFGS 11 21 21 0 1.257e-08 1.437e-02 0.000 CG_DESCENT 5.3 21362 21455 42837 0 5.761e-07 1.437e-02 0.058 PALMER3C L-CG_DESCENT 11 20 20 0 1.754e-10 1.954e-02 0.000 8 L-BFGS 11 20 20 0 1.754e-10 1.954e-02 0.001 CG_DESCENT 5.3 5536 5777 11379 0 9.753e-07 1.954e-02 0.015 PALMER4C L-CG_DESCENT 11 20 20 0 3.928e-09 5.031e-02 0.000 8 L-BFGS 11 20 20 0 3.928e-09 5.031e-02 0.000 CG_DESCENT 5.3 44211 49913 96429 0 9.657e-07 5.031e-02 0.125 PALMER5C L-CG_DESCENT 6 13 7 0 3.749e-12 2.128e+00 0.000 6 L-BFGS 6 13 7 0 3.749e-12 2.128e+00 0.001 CG_DESCENT 5.3 6 13 7 0 2.629e-09 2.128e+00 0.000 PALMER6C L-CG_DESCENT 11 24 24 0 5.520e-09 1.639e-02 0.000 8 L-BFGS 11 24 24 0 5.520e-09 1.639e-02 0.000 CG_DESCENT 5.3 14174 14228 28411 0 7.738e-07 1.639e-02 0.022 PALMER7C L-CG_DESCENT 11 20 20 0 7.132e-09 6.020e-01 0.000 8 L-BFGS 11 20 20 0 7.132e-09 6.020e-01 0.000 CG_DESCENT 5.3 65294 78428 149585 0 9.957e-07 6.020e-01 0.117 PALMER8C L-CG_DESCENT 11 18 17 0 2.376e-09 1.598e-01 0.001 8 L-BFGS 11 18 17 0 2.376e-09 1.598e-01 0.000 CG_DESCENT 5.3 8935 9903 19184 0 9.394e-07 1.598e-01 0.014 PARKCH L-CG_DESCENT 700 1434 1158 0 7.220e-07 1.624e+03 23.032 15 L-BFGS 420 815 640 0 2.718e-07 1.624e+03 12.766 CG_DESCENT 5.3 1597 3097 2133 0 3.851e-07 1.624e+03 42.758 PENALTY1 L-CG_DESCENT 28 69 44 0 4.108e-07 9.686e-03 0.002 1000 L-BFGS 29 71 45 0 6.424e-07 9.686e-03 0.003 CG_DESCENT 5.3 33 76 45 0 1.119e-07 9.686e-03 0.002 PENALTY2 L-CG_DESCENT 191 221 354 0 9.356e-07 4.712e+13 0.020 200 L-BFGS 153 185 281 0 9.725e-07 4.712e+13 0.017 CG_DESCENT 5.3 191 221 354 0 9.356e-07 4.712e+13 0.020 PENALTY3 L-CG_DESCENT 99 285 219 0 3.048e-07 1.001e-03 0.799 200 L-BFGS 70 198 150 0 2.806e-07 1.000e-03 0.536 CG_DESCENT 5.3 117 324 241 0 3.185e-07 9.981e-04 0.860 POWELLSG L-CG_DESCENT 26 53 27 0 1.202e-07 8.662e-12 0.010 5000 L-BFGS 20 41 21 0 2.364e-07 1.344e-07 0.009 CG_DESCENT 5.3 39 81 43 0 1.805e-07 1.449e-07 0.011 POWER L-CG_DESCENT 372 754 384 0 9.873e-07 1.898e-09 0.151 10000 L-BFGS 445 899 456 0 9.697e-07 1.336e-09 0.295 CG_DESCENT 5.3 358 717 359 0 9.228e-07 1.718e-09 0.112 QUARTC L-CG_DESCENT 17 37 21 0 7.051e-07 2.759e-06 0.007 5000 L-BFGS 41 85 45 0 6.163e-07 3.292e-09 0.017 CG_DESCENT 5.3 17 37 21 0 7.051e-07 2.759e-06 0.006 ROSENBR L-CG_DESCENT 34 77 44 0 7.167e-08 4.691e-18 0.000 2 L-BFGS 34 77 44 0 7.167e-08 4.691e-18 0.000 CG_DESCENT 5.3 37 86 52 0 1.894e-07 1.004e-14 0.000 S308 L-CG_DESCENT 8 19 12 0 9.454e-07 7.732e-01 0.000 2 L-BFGS 8 19 12 0 9.454e-07 7.732e-01 0.000 CG_DESCENT 5.3 12 25 13 0 1.468e-09 7.732e-01 0.000 SCHMVETT L-CG_DESCENT 43 73 60 0 6.435e-07 -1.499e+04 0.079 5000 L-BFGS 41 68 57 0 9.908e-07 -1.499e+04 0.078 CG_DESCENT 5.3 43 73 60 0 6.435e-07 -1.499e+04 0.075 SENSORS L-CG_DESCENT 21 50 34 0 3.781e-08 -2.102e+03 0.188 100 L-BFGS 25 57 37 0 9.960e-08 -2.102e+03 0.210 CG_DESCENT 5.3 21 49 33 0 8.394e-07 -2.102e+03 0.182 SINEVAL L-CG_DESCENT 60 143 87 0 1.817e-11 1.556e-23 0.000 2 L-BFGS 60 143 87 0 1.817e-11 1.556e-23 0.001 CG_DESCENT 5.3 62 172 122 0 5.757e-07 1.023e-12 0.001 SINQUAD L-CG_DESCENT 14 40 33 0 5.153e-09 -6.757e+06 0.027 5000 L-BFGS 13 43 36 0 2.759e-08 -6.757e+06 0.029 CG_DESCENT 5.3 50 98 104 0 4.930e-08 -6.757e+06 0.078 SISSER L-CG_DESCENT 6 18 14 0 2.220e-08 6.830e-12 0.001 2 L-BFGS 6 18 14 0 2.220e-08 6.830e-12 0.000 CG_DESCENT 5.3 6 13 7 0 3.663e-10 3.026e-14 0.000 SNAIL L-CG_DESCENT 97 228 134 0 9.927e-09 4.685e-17 0.000 2 L-BFGS 97 228 134 0 9.927e-09 4.685e-17 0.000 CG_DESCENT 5.3 78 202 128 0 3.136e-09 2.459e-18 0.001 SPARSINE L-CG_DESCENT 28384 28673 56483 0 8.224e-07 7.126e-11 50.582 5000 L-BFGS 33616 33924 66928 0 9.896e-07 8.035e-11 67.222 CG_DESCENT 5.3 27049 27338 53813 0 9.056e-07 1.356e-10 49.495 SPARSQUR L-CG_DESCENT 28 61 35 0 1.157e-07 9.720e-10 0.072 10000 L-BFGS 33 69 37 0 7.428e-07 3.247e-10 0.083 CG_DESCENT 5.3 22 49 29 0 1.098e-07 5.246e-10 0.056 SPMSRTLS L-CG_DESCENT 203 412 210 0 9.863e-07 2.957e-11 0.162 4999 L-BFGS 199 403 205 0 8.474e-07 2.633e-11 0.185 CG_DESCENT 5.3 203 412 210 0 9.863e-07 2.957e-11 0.157 SROSENBR L-CG_DESCENT 11 23 12 0 4.830e-10 4.238e-19 0.004 5000 L-BFGS 10 22 12 0 1.795e-08 6.341e-16 0.005 CG_DESCENT 5.3 16 33 17 0 6.747e-08 1.030e-11 0.005 STRATEC L-CG_DESCENT 176 364 201 0 3.101e-07 2.212e+03 3.670 10 L-BFGS 176 364 201 0 3.101e-07 2.212e+03 3.676 CG_DESCENT 5.3 4782 9469 6153 0 8.058e-07 2.212e+03 112.153 TESTQUAD L-CG_DESCENT 1577 1584 3149 0 8.813e-07 1.324e-13 0.425 5000 L-BFGS 1898 1905 3791 0 7.168e-07 1.256e-13 0.795 CG_DESCENT 5.3 1509 1516 3013 0 9.094e-07 4.971e-13 0.375 TOINTGOR L-CG_DESCENT 135 233 174 0 9.931e-07 1.374e+03 0.003 50 L-BFGS 123 220 161 0 7.043e-07 1.374e+03 0.002 CG_DESCENT 5.3 135 233 174 0 9.968e-07 1.374e+03 0.002 TOINTGSS L-CG_DESCENT 4 9 5 0 2.287e-07 1.000e+01 0.005 5000 L-BFGS 4 9 5 0 2.288e-07 1.000e+01 0.005 CG_DESCENT 5.3 4 9 5 0 2.287e-07 1.000e+01 0.005 TOINTPSP L-CG_DESCENT 143 279 182 0 6.877e-07 2.256e+02 0.002 50 L-BFGS 81 162 101 0 8.749e-07 2.256e+02 0.000 CG_DESCENT 5.3 136 262 179 0 9.065e-07 2.256e+02 0.000 TOINTQOR L-CG_DESCENT 29 36 53 0 4.467e-07 1.175e+03 0.000 50 L-BFGS 28 35 51 0 7.482e-07 1.175e+03 0.000 CG_DESCENT 5.3 29 36 53 0 4.464e-07 1.175e+03 0.000 TQUARTIC L-CG_DESCENT 14 40 27 0 4.429e-11 2.756e-26 0.010 5000 L-BFGS 12 34 23 0 5.177e-08 3.752e-19 0.009 CG_DESCENT 5.3 16 41 26 0 4.424e-12 7.416e-17 0.009 TRIDIA L-CG_DESCENT 782 789 1559 0 9.302e-07 4.150e-15 0.284 5000 L-BFGS 782 789 1559 0 9.925e-07 5.114e-15 0.388 CG_DESCENT 5.3 782 789 1559 0 9.268e-07 4.183e-15 0.256 VARDIM L-CG_DESCENT 10 21 11 0 2.582e-07 4.168e-19 0.001 200 L-BFGS 7 31 27 0 3.070e-10 5.890e-25 0.000 CG_DESCENT 5.3 10 21 11 0 2.582e-07 4.168e-19 0.000 VAREIGVL L-CG_DESCENT 23 47 24 0 8.477e-07 3.798e-13 0.001 50 L-BFGS 21 43 22 0 6.634e-07 2.598e-13 0.000 CG_DESCENT 5.3 23 47 24 0 8.477e-07 3.798e-13 0.000 VIBRBEAM L-CG_DESCENT 144 338 210 0 1.097e-07 1.749e+00 0.005 8 L-BFGS 144 338 210 0 1.097e-07 1.749e+00 0.006 CG_DESCENT 5.3 64568 107606 102383 0 9.327e-07 6.055e+00 2.951 WATSON L-CG_DESCENT 49 102 54 0 8.026e-07 1.592e-07 0.001 12 L-BFGS 48 97 49 0 1.319e-07 9.340e-08 0.000 CG_DESCENT 5.3 726 1453 727 0 8.115e-07 1.139e-07 0.006 WOODS L-CG_DESCENT 22 51 30 0 3.140e-08 1.555e-15 0.010 4000 L-BFGS 29 62 34 0 3.929e-07 2.841e-13 0.015 CG_DESCENT 5.3 229 462 234 0 7.594e-07 1.779e-10 0.075 YFITU L-CG_DESCENT 75 177 106 0 3.910e-07 8.074e-10 0.000 3 L-BFGS 75 177 106 0 3.910e-07 8.074e-10 0.000 CG_DESCENT 5.3 147 327 189 0 5.681e-07 2.969e-11 0.001 ZANGWIL2 L-CG_DESCENT 1 3 2 0 3.790e-15 -1.820e+01 0.000 2 L-BFGS 1 3 2 0 3.790e-15 -1.820e+01 0.000 CG_DESCENT 5.3 1 3 2 0 3.790e-15 -1.820e+01 0.000