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Table 2 Numerical results

From: A limited memory BFGS subspace algorithm for bound constrained nonsmooth problems

No.dimAlgorithm 1Active-set algorithm
NI/NFf()cpu-timeNI/NFf()cpu-time
1500015/323.486539e − 0035.163633e+000397/8041.061325e − 0011.560166e+002
700013/283.489925e − 0038.143252e+000211/4325.293420e − 0021.418673e+002
10,00013/283.491556e − 0031.987453e+001581/11722.028926e − 0028.082568e+002
11,00013/283.491902e − 0034.258827e+001161/3325.865048e − 0025.825857e+002
250007/164.547255e − 0011.734731e+0017/164.547255e − 0011.712891e+001
70007/164.715477e − 0013.138740e+0017/164.715477e − 0013.159020e+001
10,0007/164.893804e − 0016.361721e+0017/164.893804e − 0016.094959e+001
11,0007/164.941456e − 0018.386614e+0017/164.941456e − 0018.375694e+001
350006/28−4.034727e + 0031.731611e+00016/58−5.766614e + 0032.558416e+000
70006/28−5.648940e + 0032.137214e+00016/58−8.073721e + 0034.258827e+000
10,0006/28−8.070261e + 0034.196427e+00016/58−1.153438e + 0047.488048e+000
11,0006/28−8.877367e + 0038.190052e+00016/58−1.268794e + 0041.755011e+001
4500023/639.998007e + 0035.257234e+00023/639.998007e + 0034.929632e+000
700023/631.399801e + 0046.630042e+00023/631.399801e + 0046.520842e+000
10,00023/631.999801e + 0049.921664e+00023/631.999801e + 0049.406860e+000
11,00023/632.199802e + 0041.096687e+00123/632.199802e + 0041.063927e+001
5500023/639.998007e + 0031.388409e+00023/639.998007e + 0039.828063e−001
700023/631.399801e + 0042.199614e+00023/631.399801e + 0041.887612e+000
10,00023/631.999801e + 0043.759624e+00023/631.999801e + 0043.198020e+000
11,00023/632.199802e + 0044.539629e+00023/632.199802e + 0043.978025e+000
650007/165.525453e + 0002.979619e+0007/165.525453e + 0002.792418e+000
70007/165.860786e + 0004.960832e+0007/165.860786e + 0004.898431e+000
10,0007/166.216606e + 0001.113847e+0017/166.216606e + 0008.767256e+000
11,0007/166.311735e + 0001.753451e+0017/166.311735e + 0002.138774e+001
750009/204.961701e + 0023.603623e+00011/244.961701e + 0024.446029e+000
70009/206.946779e + 0025.350834e+00011/246.946779e + 0026.583242e+000
10,0009/209.924395e + 0029.578461e+00011/249.924395e + 0021.235528e+001
11,0009/201.091693e + 0032.368095e+00111/241.091693e + 0033.383662e+001
850005/12−2.859465e + 0032.028013e+00029/80−2.983598e + 0031.918812e+000
70005/12−4.003716e + 0032.496016e+00029/80−4.177659e + 0032.386815e+000
10,0005/12−5.720094e + 0034.586429e+00029/80−5.968752e + 0034.758031e+000
11,0005/12−6.292219e + 0038.580055e+00029/80−6.565783e + 0031.244888e+001
950009/207.248551e + 0023.478822e+00011/247.248551e + 0025.007632e+000
70009/201.014855e + 0035.272834e+00011/241.014855e + 0036.536442e+000
10,0009/201.449855e + 0039.204059e+00011/241.449855e + 0031.343169e+001
11,00023/481.594855e + 0032.447656e+00125/521.594855e + 0032.750298e+001
1050009/207.248551e + 0023.400822e+00011/247.248551e + 0024.383628e+000
70009/201.014855e + 0034.992032e+00011/241.014855e + 0036.520842e+000
10,0009/201.449855e + 0039.656462e+00011/241.449855e + 0031.171568e+001
11,0009/201.594855e + 0032.772138e+00111/241.594855e + 0032.436736e+001