Table 4 Test result for Problem 3
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 | \((x_{1},x_{2})\) | 9 | 36 | 0.13993 | 15 | 60 | 0.009012 |
\((x_{2},x_{2})\) | 10 | 40 | 0.016829 | 16 | 64 | 0.012426 | |
\((x_{3},x_{3})\) | 11 | 44 | 0.01805 | 16 | 64 | 0.013702 | |
\((x_{4},x_{4})\) | 11 | 44 | 0.013523 | 17 | 68 | 0.011571 | |
\((x_{5},x_{5})\) | 11 | 44 | 0.011749 | 18 | 72 | 0.016509 | |
\((x_{6},x_{6})\) | 12 | 48 | 0.031454 | 18 | 72 | 0.012098 | |
\((x_{7},x_{7})\) | 259 | 1036 | 0.62134 | 17 | 68 | 0.010712 | |
5000 | \((x_{1},x_{2})\) | 9 | 36 | 0.60992 | 16 | 64 | 0.13774 |
\((x_{2},x_{2})\) | 11 | 44 | 0.050266 | 16 | 64 | 0.12547 | |
\((x_{3},x_{3})\) | 11 | 44 | 0.057844 | 17 | 68 | 0.037555 | |
\((x_{4},x_{4})\) | 12 | 48 | 0.052319 | 18 | 72 | 0.1555 | |
\((x_{5},x_{5})\) | 11 | 44 | 0.12611 | 18 | 72 | 0.2368 | |
\((x_{6},x_{6})\) | 13 | 52 | 0.11407 | 18 | 72 | 0.050688 | |
\((x_{7},x_{7})\) | – | – | – | 17 | 68 | 0.044552 | |
10,000 | \((x_{1},x_{2})\) | 9 | 36 | 0.49181 | 16 | 64 | 0.090626 |
\((x_{2},x_{2})\) | 11 | 44 | 0.14241 | 17 | 68 | 0.10902 | |
\((x_{3},x_{3})\) | 11 | 44 | 0.26172 | 17 | 68 | 0.74438 | |
\((x_{4},x_{4})\) | 13 | 52 | 0.38111 | 18 | 72 | 0.17919 | |
\((x_{5},x_{5})\) | 12 | 48 | 0.17741 | 20 | 80 | 0.10613 | |
\((x_{6},x_{6})\) | 13 | 52 | 0.083221 | 19 | 76 | 0.12769 | |
\((x_{7},x_{7})\) | – | – | – | 18 | 72 | 0.093064 | |
50,000 | \((x_{1},x_{2})\) | 10 | 40 | 0.27835 | 17 | 68 | 0.32105 |
\((x_{2},x_{2})\) | 11 | 44 | 0.24875 | 17 | 68 | 0.30922 | |
\((x_{3},x_{3})\) | 12 | 48 | 0.35821 | 18 | 72 | 0.87847 | |
\((x_{4},x_{4})\) | 13 | 52 | 0.4112 | 20 | 80 | 0.43688 | |
\((x_{5},x_{5})\) | 13 | 52 | 0.38957 | 21 | 84 | 0.46666 | |
\((x_{6},x_{6})\) | 13 | 52 | 0.48965 | 21 | 84 | 1.7167 | |
\((x_{7},x_{7})\) | 15 | 60 | 0.51664 | 18 | 72 | 1.4507 | |
100,000 | \((x_{1},x_{2})\) | 10 | 40 | 0.45116 | 17 | 68 | 0.89372 |
\((x_{2},x_{2})\) | 11 | 44 | 1.1194 | 18 | 72 | 0.86119 | |
\((x_{3},x_{3})\) | 13 | 52 | 1.804 | 19 | 76 | 0.8354 | |
\((x_{4},x_{4})\) | 14 | 56 | 1.0128 | 22 | 88 | 1.1409 | |
\((x_{5},x_{5})\) | 15 | 60 | 1.0246 | 22 | 88 | 0.96899 | |
\((x_{6},x_{6})\) | 15 | 60 | 0.93187 | 22 | 88 | 1.06 | |
\((x_{7},x_{7})\) | 15 | 60 | 1.0907 | 20 | 80 | 1.0702 | |