Table 10 Test result for Problem 9
From: A method with inertial extrapolation step for convex constrained monotone equations
DIM | \((x_{0}, x_{1})\) | IPDY | PDY | ||||
|---|---|---|---|---|---|---|---|
NI | NF | CPU | NI | NF | CPU | ||
1000 | \((x_{1},x_{2})\) | 26 | 104 | 0.25727 | 36 | 144 | 0.23507 |
\((x_{2},x_{2})\) | 25 | 100 | 0.34424 | 35 | 140 | 0.20293 | |
\((x_{3},x_{3})\) | 20 | 80 | 0.23255 | 35 | 140 | 0.18885 | |
\((x_{4},x_{4})\) | 19 | 76 | 0.20691 | 33 | 132 | 0.29419 | |
\((x_{5},x_{5})\) | 16 | 64 | 0.19554 | 31 | 124 | 0.18894 | |
\((x_{6},x_{6})\) | 27 | 108 | 0.28929 | 24 | 96 | 0.19307 | |
\((x_{7},x_{7})\) | 18 | 72 | 0.15421 | 27 | 108 | 0.18974 | |
5000 | \((x_{1},x_{2})\) | 16 | 64 | 0.66807 | 34 | 136 | 0.96072 |
\((x_{2},x_{2})\) | 20 | 80 | 1.0047 | 34 | 136 | 0.98855 | |
\((x_{3},x_{3})\) | 18 | 72 | 0.74354 | 34 | 136 | 0.91487 | |
\((x_{4},x_{4})\) | 19 | 76 | 0.83177 | 31 | 124 | 0.92888 | |
\((x_{5},x_{5})\) | 17 | 68 | 0.77948 | 30 | 120 | 0.80674 | |
\((x_{6},x_{6})\) | 24 | 96 | 1.1869 | 24 | 96 | 0.66125 | |
\((x_{7},x_{7})\) | 18 | 72 | 0.85028 | 27 | 108 | 0.75491 | |
10,000 | \((x_{1},x_{2})\) | 20 | 80 | 1.6479 | 34 | 136 | 1.6326 |
\((x_{2},x_{2})\) | 30 | 120 | 2.6217 | 34 | 136 | 1.7051 | |
\((x_{3},x_{3})\) | 24 | 96 | 1.8867 | 33 | 132 | 1.6473 | |
\((x_{4},x_{4})\) | 16 | 64 | 1.3469 | 30 | 120 | 1.544 | |
\((x_{5},x_{5})\) | 17 | 68 | 1.4065 | 30 | 120 | 1.5837 | |
\((x_{6},x_{6})\) | 27 | 108 | 2.2891 | 24 | 96 | 1.2598 | |
\((x_{7},x_{7})\) | 18 | 72 | 1.4826 | 28 | 112 | 1.6064 | |
50,000 | \((x_{1},x_{2})\) | 26 | 104 | 12.2321 | 34 | 136 | 7.4057 |
\((x_{2},x_{2})\) | 20 | 80 | 6.9478 | 33 | 132 | 7.1126 | |
\((x_{3},x_{3})\) | 17 | 68 | 5.6733 | 32 | 128 | 6.9792 | |
\((x_{4},x_{4})\) | 19 | 76 | 6.8442 | 24 | 96 | 5.7097 | |
\((x_{5},x_{5})\) | 18 | 72 | 6.3233 | 29 | 116 | 6.4302 | |
\((x_{6},x_{6})\) | 19 | 76 | 6.8044 | 31 | 124 | 6.8804 | |
\((x_{7},x_{7})\) | 20 | 80 | 7.1252 | 26 | 104 | 5.7188 | |
100,000 | \((x_{1},x_{2})\) | 33 | 132 | 23.4997 | 33 | 132 | 14.5783 |
\((x_{2},x_{2})\) | 20 | 80 | 13.6641 | 33 | 132 | 14.6661 | |
\((x_{3},x_{3})\) | 21 | 84 | 14.5443 | 40 | 160 | 18.5338 | |
\((x_{4},x_{4})\) | 18 | 72 | 12.7254 | 30 | 120 | 13.2054 | |
\((x_{5},x_{5})\) | 19 | 76 | 13.7186 | 28 | 112 | 12.9061 | |
\((x_{6},x_{6})\) | 28 | 112 | 20.2095 | 26 | 104 | 11.7886 | |
\((x_{7},x_{7})\) | 19 | 76 | 14.2087 | 28 | 112 | 12.1064 | |