Research Article

An Adaptive Prediction-Correction Method for Solving Large-Scale Nonlinear Systems of Monotone Equations with Applications

Table 2

Numerical results for MSG-V/HSG-V methods on Problem 1.

Init ( ) MSG-V HSG-V
NI/NF/Time/BK NI/NF/Time/BK

(100) 48/162/0.031/0 139/471/0.14/0
(100) 37/120/0.016/0 165/572/0.079/7
(100) 29/93/0.015/0 158/522/0.062/2
(100) 22/61/0.016/0 134/461/0.063/0
(100) 8/22/0.016/0 8/22/0.015/0
(100) 9/26/0.015/0 9/26/0.015/0
(100) 8/22/0.016/0 8/22/0.016/0
(100) 8/21/0.015/0 8/21/0.016/0
(100) 8/20/0.015/0 8/20/0.016/0
(100) 24/75/0.031/1 24/75/0.031/1
(100) 8/21/0.015/0 8/21/0.016/0
(100) 6/16/0.016/0 6/16/0.016/0
(200) 43/134/0.047/0 174/587/0.172/0
(200) 39/142/0.047/0 184/640/0.172/0
(200) 35/118/0.031/1 205/693/0.188/0
(200) 19/59/0.031/0 148/519/0.125/0
(200) 8/23/0.296/0 8/23/0.015/0
(200) 9/27/0.016/0 9/27/0.016/0
(200) 8/23/0.016/0 8/23/0.016/0
(200) 8/22/0.015/0 8/22/0.016/0
(200) 8/21/0.016/0 8/21/0.015/0
(200) 25/79/0.046/1 25/79/0.031/1
(200) 8/22/0.016/0 8/22/0.016/0
(200) 6/17/0.015/0 6/17/0.016/0
(300) 50/200/0.094/0 246/865/0.375/4
(300) 56/196/0.093/1 265/977/0.375/8
(300) 33/119/0.047/0 345/1253/0.515/7
(300) 28/90/0.031/0 244/825/0.329/0
(300) 8/23/0.016/0 8/23/0.015/0
(300) 9/27/0.015/0 9/27/0.016/0
(300) 8/23/0.016/0 8/23/0.015/0
(300) 8/22/0.016/0 8/22/0.016/0
(300) 8/21/0.016/0 8/21/0.016/0
(300) 26/82/0.031/1 26/82/0.031/1
(300) 8/23/0.016/0 8/23/0.016/0
(300) 6/18/0.015/0 6/18/0.015/0
(500) 51/218/0.188/0 290/1054/0.765/8
(500) 41/132/0.125/0 330/1159/0.953/0
(500) 47/164/0.14/1 383/1394/0.969/0
(500) 28/91/0.125/0 246/864/0.609/0
(500) 9/26/0.047/0 9/26/0.032/0
(500) 9/28/0.031/0 9/28/0.015/0
(500) 9/26/0.047/0 9/26/0.032/0
(500) 8/23/0.032/0 8/23/0.015/0
(500) 8/22/0.031/0 8/22/0.016/0
(500) 27/86/0.062/1 27/86/0.062/1
(500) 8/23/0.016/0 8/23/0.032/0
(500) 6/19/0.016/0 6/19/0.015/0
(1000) 49/205/0.547/0 437/1656/3.094/2
(1000) 41/138/0.344/0 506/1824/3.406/0
(1000) 49/181/0.437/1 607/2137/4.094/2
(1000) 37/121/0.282/1 426/1582/3/0
(1000) 9/27/0.062/0 9/27/0.062/0
(1000) 9/29/0.063/0 86/308/0.579/6
(1000) 9/27/0.046/0 9/27/0.046/0
(1000) 8/24/0.063/0 8/24/0.047/0
(1000) 8/23/0.047/0 12/44/0.078/2
(1000) 29/93/0.172/1 29/93/0.188/1
(1000) 8/24/0.047/0 8/24/0.078/0
(1000) 6/20/0.031/0 6/20/0.078/0