Research Article

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

Table 6

Numerical results for MSG-V/HSG-V methods on Problem 3.

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

(100) 92/377/0.078/1 55/172/0.047/6
(100) 93/374/0.079/1 59/177/0.031/0
(100) 86/360/0.078/1 40/120/0.031/0
(100) 83/363/0.062/1 40/111/0.032/1
(100) 45/173/0.047/1 20/56/0.015/0
(100) 57/204/0.047/2 42/121/0.016/2
(100) 53/202/0.031/1 30/87/0.031/0
(100) 47/181/0.047/2 22/61/0.016/0
(100) 49/194/0.047/1 33/100/0.015/1
(100) 48/165/0.031/1 30/97/0.032/3
(100) 49/181/0.031/1 26/75/0.015/0
(100) 37/125/0.032/0 29/93/0.016/0
(200) 88/335/0.172/1 53/173/0.078/1
(200) 83/330/0.14/1 50/142/0.078/0
(200) 76/290/0.141/1 42/126/0.047/2
(200) 69/266/0.125/1 35/101/0.063/3
(200) 48/190/0.094/1 25/72/0.031/3
(200) 69/294/0.156/2 34/99/0.047/0
(200) 55/215/0.109/5 30/81/0.047/0
(200) 51/217/0.11/1 22/61/0.031/0
(200) 46/153/0.078/1 24/64/0.031/0
(200) 42/129/0.078/1 33/91/0.031/0
(200) 49/180/0.094/0 30/92/0.047/1
(200) 37/125/0.062/2 30/85/0.047/0
(300) 89/322/1.266/1 53/168/0.625/0
(300) 91/348/1.282/1 55/162/0.609/1
(300) 72/278/1.046/1 37/109/0.422/0
(300) 78/339/1.297/1 28/81/0.297/1
(300) 45/178/0.735/2 20/55/0.281/0
(300) 63/248/0.937/3 38/113/0.453/2
(300) 53/208/0.797/1 33/91/0.344/0
(300) 63/295/1.109/1 22/61/0.234/0
(300) 45/177/0.672/1 27/71/0.266/0
(300) 45/148/0.641/1 40/108/0.406/0
(300) 43/144/0.531/2 32/89/0.344/1
(300) 36/129/0.5/0 28/83/0.312/2
(500) 85/289/3.125/1 50/158/1.672/0
(500) 78/245/2.625/0 56/157/1.75/2
(500) 74/289/3.156/2 40/118/1.235/1
(500) 62/223/2.375/1 47/131/1.437/1
(500) 49/194/2.11/1 25/74/0.813/3
(500) 55/181/1.922/2 40/116/1.218/0
(500) 49/163/1.797/1 26/74/0.781/0
(500) 53/219/2.328/1 22/61/0.657/0
(500) 49/184/2/0 25/69/0.781/2
(500) 41/158/1.656/2 35/99/1.062/6
(500) 48/173/1.922/1 31/83/0.891/0
(500) 35/126/1.359/2 27/76/0.812/0
(1000) 97/376/15.688/3 50/165/6.922/3
(1000) 78/263/11.015/1 52/151/6.235/2
(1000) 80/303/12.766/1 44/128/5.343/1
(1000) 73/291/12.219/0 36/101/4.235/0
(1000) 43/165/6.968/1 22/66/2.75/2
(1000) 59/213/9.094/4 44/120/5.016/0
(1000) 55/201/8.438/1 27/78/3.281/3
(1000) 57/250/10.5/1 22/60/2.547/0
(1000) 46/166/7/0 29/80/3.266/4
(1000) 39/126/5.234/0 31/87/3.64/0
(1000) 47/165/6.969/1 35/96/4.032/3
(1000) 36/114/4.797/2 34/91/3.812/0