Research Article
An Adaptive Prediction-Correction Method for Solving Large-Scale Nonlinear Systems of Monotone Equations with Applications
Table 1
Numerical results for SG/MSG methods on Problem
1.
| | Init () | SG | MSG | | NI/NF/Time/BK | NI/NF/Time/BK |
| | (100) | 7935/56267/7.375/6 | 1480/9774/1.609/1 | | (100) | 4365/25627/3.125/2 | 981/6223/0.906/1 | | (100) | 3131/18028/2.11/7 | 1139/8240/1.266/1 | | (100) | 2287/13025/1.453/4 | 294/1091/0.172/1 | | (100) | 1685/9535/1.188/3 | 212/640/0.093/1 | | (100) | 1788/10238/1.156/3 | 243/745/0.11/1 | | (100) | 1608/9236/1.047/2 | 220/664/0.109/1 | | (100) | 1629/9283/1.172/4 | 185/558/0.078/1 | | (100) | 1478/8407/0.953/4 | 8/20/0.016/0 | | (100) | 1611/9131/1.031/3 | 184/555/0.078/1 | | (100) | 1475/8404/0.938/4 | 39/99/0.016/0 | | (100) | 1226/6938/0.797/5 | 19/46/0.016/0 | | (200) | F | 2846/20922/6.328/1 | | (200) | 8506/50896/11.985/4 | 1535/11707/3.5/1 | | (200) | 6193/37063/8.687/7 | 1826/15256/4.5/0 | | (200) | 4563/27333/6.5/7 | 266/1055/0.312/1 | | (200) | 3343/19760/5.078/4 | 376/1133/0.422/1 | | (200) | 3620/21536/6.11/7 | 200/617/0.172/1 | | (200) | 3249/19340/4.531/6 | 148/444/0.125/0 | | (200) | 3253/19383/4.5/5 | 323/973/0.344/1 | | (200) | 2974/17649/4.109/4 | 8/21/0.015/0 | | (200) | 3256/19214/5.062/4 | 308/928/0.391/1 | | (200) | 2995/17784/5.266/4 | 42/110/0.047/0 | | (200) | 2483/14698/3.453/3 | 27/63/0.047/0 | | (300) | F | F | | (300) | F | 3374/29158/12.782/1 | | (300) | 9334/57185/20.985/2 | 1293/10136/4.656/1 | | (300) | 6734/41348/14.735/4 | 406/1601/0.687/1 | | (300) | 5011/30857/11.265/7 | 235/706/0.282/1 | | (300) | 5380/33167/11.875/6 | 300/919/0.546/1 | | (300) | 4812/29977/10.657/6 | 187/559/0.235/0 | | (300) | 4825/29770/10.656/4 | 158/466/0.187/0 | | (300) | 4396/27551/10.062/3 | 8/21/0.016/0 | | (300) | 4774/29731/10.969/3 | 203/610/0.266/1 | | (300) | 4411/27366/9.859/8 | 52/144/0.062/0 | | (300) | 3656/23021/8.36/6 | 32/75/0.031/0 | | (500) | F | F | | (500) | F | 4915/46911/37.906/1 | | (500) | F | 1754/15152/12.375/1 | | (500) | F | 489/1905/1.547/1 | | (500) | 8360/51414/37.485/6 | 269/803/0.797/1 | | (500) | 8996/56185/39.75/6 | 295/900/0.734/1 | | (500) | 8128/50525/35.703/2 | 256/766/0.672/1 | | (500) | 8089/50688/36.484/4 | 387/1163/1.156/0 | | (500) | 7453/46083/33.75/2 | 8/22/0.016/0 | | (500) | 8118/50185/35.985/4 | 403/1211/1.187/1 | | (500) | 7525/46275/33.14/4 | 55/149/0.11/0 | | (500) | 6235/38408/28.047/9 | 38/95/0.11/0 | | (1000) | F | F | | (1000) | F | 8998/93619/200.78/0 | | (1000) | F | 2939/26376/55.86/0 | | (1000) | F | 783/3016/6.438/0 | | (1000) | F | 364/1085/2.75/0 | | (1000) | F | 429/1309/3.266/0 | | (1000) | F | 499/1500/3.687/1 | | (1000) | F | 481/1444/3.969/0 | | (1000) | F | 8/23/0.047/0 | | (1000) | F | 346/1032/2.515/0 | | (1000) | F | 74/201/0.391/0 | | (1000) | F | 50/124/0.234/0 |
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