Parameter: eps = 1.0000000000000000E-008 STOP = 0: xk is such that |g(xk)|xlarge, with xlarge=1.0d+10. STOP = 11: the maximum allowed number of iterations was exhausted (maxit = 500000 ). STOP = 12: the maximum allowed number of functional evaluations was exhausted (maxfcnt = 5000000 ). STOP = -90: xk is such that there was an error in the evaluation of the objective function. STOP = -91: xk is such that there was an error in the evaluation of the gradient. STOP = -92: xk is such that there was an error in the evaluation of the Hessian. -------------------------------------------------------------------------------------------------------------------------------------------- Dense BPK-based MDMt factorization (using DSYTRF_RK from Lapack) Dense Spectral-based MDMt factorization (using DSYEV from Lapack) -------------------------------------------------------------------------------------------------------------------------------------------- Problem n f |g| it fcnt time stop Problem n f |g| it fcnt time stop -------------------------------------------------------------------------------------------------------------------------------------------- ARGLINA 500 5.0000000000D+02 1.6D-13 1 2 3.63 0 ARGLINA 500 5.0000000000D+02 1.5D-12 1 2 2.90 0 ARGLINC 500 2.5112518757D+02 1.3D+01 4 5 9.17 7 ARGLINC 500 2.5112518761D+02 1.4D-01 3 4 7.39 6 ARWHEAD 1000 0.0000000000D+00 1.2D-12 6 7 0.62 0 ARWHEAD 1000 0.0000000000D+00 1.2D-12 6 7 5.41 0 BDQRTIC 1000 3.9838179506D+03 2.2D-13 10 11 1.11 0 BDQRTIC 1000 3.9838179506D+03 2.2D-13 10 11 18.28 0 BOX 1000 -1.7737059413D+02 1.0D-13 14 26 1.49 4 BOX 1000 -1.7737059413D+02 1.8D-13 11 18 9.45 0 BROWNAL 1000 9.9999999999D-01 1.9D-10 6 7 173.98 0 BROWNAL 1000 4.6017758024D-22 4.7D-10 5 6 138.34 0 BROYDN7D 1000 4.4245049767D+02 2.6D-11 42 52 4.46 0 BROYDN7D 1000 3.6188037652D+02 4.6D-13 17 22 30.44 0 BRYBND 1000 2.2299367689D-18 8.8D-09 10 12 1.07 0 BRYBND 1000 5.0598754690D-27 1.8D-11 12 16 21.64 0 CHAINWOO 1000 7.4242807365D+01 2.8D-11 215 279 23.71 0 CHAINWOO 1000 1.0000000000D+00 2.4D-12 52 80 123.05 0 COSINE 1000 -9.9900000000D+02 3.0D-10 5 6 0.52 0 COSINE 1000 -7.9555860358D+02 1.5D-02 6178 11770 4260.02 3 CRAGGLVY 1000 3.3642314787D+02 5.3D-15 15 16 1.58 4 CRAGGLVY 1000 3.3642314787D+02 5.1D-15 15 16 25.15 4 CURLY10 1000 -1.0031629024D+05 9.5D-13 12 13 1.26 0 CURLY10 1000 -1.0031629024D+05 7.4D-13 20 23 32.73 0 CURLY20 1000 -1.0031629024D+05 1.8D-12 9 10 1.01 0 CURLY20 1000 -1.0031629024D+05 1.8D-12 20 24 32.15 0 CURLY30 1000 -1.0031629024D+05 3.5D-12 9 10 1.07 0 CURLY30 1000 -1.0031629024D+05 4.0D-11 23 27 36.77 0 DIXMAANA 900 1.0000000000D+00 0.0D+00 6 9 0.48 0 DIXMAANA 900 1.0000000000D+00 1.1D-20 6 7 7.10 0 DIXMAANB 900 1.0000000000D+00 1.7D-10 40 50 3.57 0 DIXMAANB 900 1.0000000000D+00 9.5D-19 10 13 13.34 0 DIXMAANC 900 1.0000000000D+00 1.3D-23 23 27 2.32 0 DIXMAANC 900 1.0000000000D+00 7.3D-17 9 11 11.76 0 DIXMAAND 900 1.0000000000D+00 9.9D-10 28 34 2.93 0 DIXMAAND 900 1.0000000000D+00 4.4D-14 17 21 21.27 0 DIXMAANE 900 1.0000000000D+00 7.2D-23 9 10 0.73 0 DIXMAANE 900 1.0000000000D+00 1.0D-10 7 8 9.08 0 DIXMAANF 900 1.0000000000D+00 9.4D-15 23 26 2.11 0 DIXMAANF 900 1.0000000000D+00 1.3D-10 11 13 15.74 0 DIXMAANG 900 1.0000000000D+00 5.4D-11 26 29 2.45 0 DIXMAANG 900 1.0000000000D+00 6.2D-16 17 21 24.13 0 DIXMAANH 900 1.0000000000D+00 8.6D-12 34 39 2.97 0 DIXMAANH 900 1.0000000000D+00 1.0D-08 15 18 21.07 0 DIXMAANI 900 1.0000000000D+00 2.9D-12 17 18 1.37 0 DIXMAANI 900 1.0000000000D+00 1.4D-15 9 10 11.72 0 DIXMAANJ 900 1.0000000000D+00 2.0D-14 31 35 2.81 0 DIXMAANJ 900 1.0000000000D+00 1.0D-10 14 16 20.59 0 DIXMAANK 900 1.0000000000D+00 1.9D-15 29 33 2.54 0 DIXMAANK 900 1.0000000000D+00 4.5D-09 16 20 23.09 0 DIXMAANL 900 1.0000000000D+00 2.7D-09 29 33 2.49 0 DIXMAANL 900 1.0000000000D+00 1.2D-10 16 19 23.41 0 DIXON3DQ 1000 0.0000000000D+00 0.0D+00 1 2 0.12 0 DIXON3DQ 1000 1.1965003973D-21 1.6D-13 1 2 1.93 0 DQDRTIC 1000 0.0000000000D+00 0.0D+00 1 2 0.11 0 DQDRTIC 1000 0.0000000000D+00 0.0D+00 1 2 0.67 0 DQRTIC 1000 2.2354180180D-10 4.3D-09 34 35 3.56 0 DQRTIC 1000 2.2354180180D-10 4.3D-09 34 35 22.23 0 EDENSCH 1000 6.0032845920D+03 1.5D-10 12 13 1.25 0 EDENSCH 1000 6.0032845920D+03 1.5D-10 12 13 22.79 0 EG2 1000 -9.9894739330D+02 2.6D-07 16 353 1.84 9 EG2 1000 -9.9894739330D+02 4.0D-09 5 7 3.88 0 EIGENALS 420 1.4087029968D-24 6.2D-11 414 568 8.81 0 EIGENALS 420 1.9860695825D-21 7.4D-10 133 219 16.98 0 EIGENBLS 420 1.0705498880D-16 4.4D-09 204 283 3.94 0 EIGENBLS 420 4.8235266862D-23 6.2D-12 120 174 16.54 0 EIGENCLS 462 1.4714457866D-27 3.8D-14 283 369 6.99 0 EIGENCLS 462 2.3149406587D-20 2.2D-10 84 115 15.61 0 ENGVAL1 1000 1.1081947188D+03 1.3D-12 8 9 0.86 0 ENGVAL1 1000 1.1081947188D+03 1.3D-12 8 9 15.22 0 EXTROSNB 1000 2.0072722839D-08 8.4D-05 1126 1698 119.81 2 EXTROSNB 1000 2.0757264452D-08 8.2D-06 1120 1703 707.22 2 FLETCBV2 1000 -5.0142903408D-01 8.4D-09 1 2 0.11 0 FLETCBV2 1000 -5.0142903408D-01 8.4D-09 1 2 1.98 0 FLETCBV3 1000 -2.8663460770D+07 3.1D-02 4999 6501 533.40 3 FLETCBV3 1000 -2.8518917393D+07 3.1D-02 4999 6501 3601.99 3 FLETCHBV 1000 -1.4262893396D+10 3.0D+06 4 5 0.46 6 FLETCHBV 1000 -1.4261173657D+10 3.0D+06 4 5 6.24 6 FLETCHCR 1000 1.2942249226D-30 4.4D-14 1442 1882 167.11 0 FLETCHCR 1000 1.7156295716D-23 5.8D-12 1438 1942 2491.96 0 FMINSRF2 961 9.9999999900D-01 1.9D-15 58 107 6.13 0 FMINSRF2 961 9.9999999900D-01 3.3D-12 74 138 120.93 0 FMINSURF 961 9.9999999900D-01 2.9D-09 110 195 14.66 0 FMINSURF 961 9.9999999900D-01 1.5D-12 74 131 123.33 0 FREUROTH 1000 1.2146971011D+05 1.3D-11 23 25 2.70 0 FREUROTH 1000 1.2146971011D+05 1.3D-06 28 553 53.76 9 GENHUMPS 1000 6.2155978104D-26 1.3D-13 3022 3938 340.37 0 GENHUMPS 1000 1.6548125539D-24 8.0D-13 1544 2015 1619.88 0 GENROSE 1000 1.0000000000D+00 5.4D-13 707 1037 75.25 0 GENROSE 1000 1.0000000000D+00 1.1D-09 624 1053 1066.10 0 HILBERTB 500 5.3842983233D-26 1.3D-13 1 2 0.05 0 HILBERTB 500 2.3299429989D-25 7.4D-13 1 2 0.24 0 INDEF 1000 -1.0453172651D+10 1.5D+01 35 37 3.78 7 INDEF 1000 -2.3912223367D+17 1.9D+02 4 5 7.02 7 LIARWHD 1000 9.4433750103D-26 2.3D-11 12 13 1.25 0 LIARWHD 1000 9.4433750103D-26 2.3D-11 12 13 10.00 0 MANCINO 1000 6.7317779321D-15 4.5D-04 31 36 848.99 5 MANCINO 1000 6.7536756925D-15 4.5D-04 32 38 899.14 5 MODBEALE 1000 6.4464727099D-28 5.4D-13 24 26 2.38 0 MODBEALE 1000 5.9427369275D-16 3.4D-09 8 10 14.06 0 MOREBV 1000 7.3288664855D-13 4.7D-11 1 2 0.12 0 MOREBV 1000 7.3331800800D-13 4.7D-11 1 2 1.74 0 MSQRTALS 1024 1.4809535969D-25 7.8D-14 308 450 48.27 0 MSQRTALS 1024 1.7636643423D-18 6.7D-10 32 39 67.16 0 MSQRTBLS 1024 5.1117084254D-18 4.6D-09 336 475 52.17 0 MSQRTBLS 1024 2.0481088587D-22 1.9D-11 26 30 54.93 0 NCB20 1010 9.2120965805D+02 2.5D-14 92 119 9.67 0 NCB20 1010 9.2793195089D+02 3.8D-10 24 30 38.89 0 NCB20B 1000 1.6760112151D+03 2.3D-11 42 77 4.29 0 NCB20B 1000 1.6760112071D+03 3.9D-09 15 16 27.68 0 NONCVXU2 1000 2.3171026408D+03 2.8D-09 2020 2626 199.39 0 NONCVXU2 1000 2.3189383309D+03 1.2D-13 180 240 327.17 0 NONCVXUN 1000 2.3490522864D+03 6.0D-11 2445 3171 242.67 0 NONCVXUN 1000 2.3203196162D+03 2.7D-06 266 310 471.17 1 NONDIA 1000 1.7872679188D-26 4.2D-11 6 7 0.56 0 NONDIA 1000 1.7872679188D-26 4.2D-11 6 7 4.90 0 NONDQUAR 1000 3.1849289202D-13 9.5D-09 22 23 2.06 0 NONDQUAR 1000 3.1849289200D-13 9.5D-09 22 23 41.43 0 NONMSQRT 1024 8.9904856557D+01 3.5D-04 1897 410715 271.38 8 NONMSQRT 1024 8.9904890655D+01 5.3D-03 2876 393328 2161.30 8 OSCIGRAD 1000 6.6071899098D-24 2.0D-08 11 15 1.03 5 OSCIGRAD 1000 1.3411115370D-23 2.9D-08 15 4051 32.70 5 OSCIPATH 500 9.9996666552D-01 1.3D-12 2 3 0.03 0 OSCIPATH 500 9.9996666552D-01 1.3D-12 2 3 0.47 0 PENALTY1 1000 9.6861754324D-03 2.4D-13 41 51 4.91 0 PENALTY1 1000 9.6861754326D-03 3.0D-09 40 50 35.65 0 PENALTY2 1000 3.9503576139D+82 1.3D+67 155 3423 19.19 8 PENALTY2 1000 1.0127718562D+83 4.7D+67 21 2253 37.45 8 PENALTY3 200 3.9857536557D+04 1.5D-07 647 1459 14.57 9 PENALTY3 200 9.9547004700D-04 1.3D-07 26 286 1.16 9 POWELLSG 1000 3.2920404303D-10 8.7D-09 20 21 1.93 0 POWELLSG 1000 3.2920404307D-10 8.7D-09 20 21 11.80 0 POWER 1000 1.4281110130D-12 7.4D-09 33 34 3.81 0 POWER 1000 1.4281110130D-12 7.4D-09 33 34 65.76 0 QUARTC 1000 2.2354180180D-10 4.3D-09 34 35 3.28 0 QUARTC 1000 2.2354180180D-10 4.3D-09 34 35 20.67 0 SBRYBND 1000 3.6656911363D-27 1.4D-06 23 35 2.17 5 SBRYBND 1000 4.4888638476D-27 1.8D-06 28 115 59.16 5 SCHMVETT 1000 -2.9940000000D+03 1.9D-13 3 4 0.28 0 SCHMVETT 1000 -2.9940000000D+03 1.9D-13 3 4 5.72 0 SCOSINE 1000 -9.9231885709D+02 2.0D+13 87 32910 9.78 8 SCOSINE 1000 -9.9605692128D+02 1.1D+13 174 1321 184.22 9 SCURLY10 1000 -1.0031629024D+05 2.9D-08 64 73 6.39 9 SCURLY10 1000 -1.0031629024D+05 5.7D-08 147 182 227.01 9 SCURLY20 1000 -1.0031629024D+05 2.8D-08 64 73 6.20 9 SCURLY20 1000 -1.0031629024D+05 1.1D-07 69 82 102.79 9 SCURLY30 1000 -1.0031629024D+05 4.4D-08 64 73 6.44 9 SCURLY30 1000 -1.0031629024D+05 1.0D-07 71 84 106.64 9 SENSORS 1000 -2.1089615625D+05 2.6D-12 88 112 61.13 0 SENSORS 1000 -2.0937740625D+05 4.9D-12 13 16 29.69 0 SINQUAD 1000 -2.9425049403D+05 1.0D-09 15 19 1.44 0 SINQUAD 1000 -2.9425049403D+05 4.4D-10 12 15 10.25 4 SPARSINE 1000 3.4454342478D-18 1.1D-09 1244 1613 123.38 0 SPARSINE 1000 9.8630559821D-16 6.2D-09 19 20 33.14 0 SPARSQUR 1000 4.4922696396D-11 7.6D-09 22 23 2.28 0 SPARSQUR 1000 4.4922696396D-11 7.6D-09 22 23 40.36 0 SPMSRTLS 1000 5.6084967190D-02 8.9D-11 47 61 4.51 0 SPMSRTLS 1000 4.3475087725D-16 2.0D-15 13 15 24.57 0 SROSENBR 1000 3.3416765517D-18 1.9D-09 8 18 0.75 0 SROSENBR 1000 3.8917905294D-18 1.4D-09 8 18 4.81 0 TESTQUAD 1000 0.0000000000D+00 0.0D+00 1 2 0.10 0 TESTQUAD 1000 0.0000000000D+00 0.0D+00 1 2 0.58 0 TOINTGSS 1000 1.0000000020D+01 1.9D-15 1 2 0.10 0 TOINTGSS 1000 1.0000000020D+01 2.5D-13 1 2 1.82 0 TQUARTIC 1000 1.3575742497D-24 1.1D-10 1 2 0.10 0 TQUARTIC 1000 3.3491479194D-23 5.0D-10 1 2 0.78 0 TRIDIA 1000 2.3799033716D-26 2.3D-12 1 2 0.10 0 TRIDIA 1000 9.7716743436D-23 8.3D-11 1 2 2.13 0 VARDIM 1000 1.9658586457D-23 8.9D-09 80 81 11.32 0 VARDIM 1000 1.9658585594D-23 8.9D-09 82 83 110.58 0 VAREIGVL 1000 2.5512450808D-26 8.9D-13 17 23 1.98 0 VAREIGVL 1000 1.8762090081D-26 6.9D-14 8 9 14.07 0 WOODS 1000 1.0036097977D-26 1.6D-13 39 52 3.95 0 WOODS 1000 4.5081984943D-20 1.6D-10 38 52 22.77 0