Journal of Mathematics / 2020 / Article / Tab 2

Research Article

New Investigation for the Liu-Story Scaled Conjugate Gradient Method for Nonlinear Optimization

Table 2

Comparisons of new algorithm against (HS) & (PR) algorithms for the total of (60) test problems with (1000 n 10000, and the increasing size in n is equal to 1000) with (c = 0.1 and 0.001).

Prob.New algorithm (C = 0.1) NOI/NOFG/TIMENew algorithm (C = 0.001) NOI/NOFG/TIMEHS
NOI/NOFG/TIME
PR
NOI/NOFG/TIME

199/252/0.14101/263/0.145902/173484/0.7211798/270815/6.07
2408/884/2.02405/880/1.97362/637/1.83416/720/2.07
3853/2183/1.06830/2171/0.98789/1817/0.86989/1979/1.11
4123/308/0.14123/308/0.15141/281/0.19254/430/0.26
5100/388/0.15100/388/0.20653/17073/3.79410/7948/2.73
6585/995/1.56585/995/1.549881/16243/3.0720010/22091/4.04
730/80/0.1530/80/0.1340/90/0.1840/90/0.18
81032/2705/1.581020/2668/1.42997/2279/1.288780/10109/1.57
92388/4881/2.402503/5048/3.064658/7644/2.4814945/16013/9.92
10477/871/2.66478/858/2.6220010/98744/4.7020010/292528/9.39
11182/423/1.03174/418/1.0914053/39805/1.2815593/489487/8.58
12113/302/0.16113/302/0.20428/6427/2.19609/11752/4.81
1380/226/0.1178/222/0.08113/234/0.08291/509/0.26
1461/131/0.5061/131/0.56906/23792/1.66318/6032/3.76
15460/991/0.62452/969/0.59636/1006/0.73964/1479/1.25
1666/132/0.0366/132/0.0460/120/0.031043/1116/0.38
1770/160/0.1170/160/0.06207/339/0.19110/230/0.10
18753/1577/0.79791/1668/0.85821/1545/0.783732/4630/3.99
1974/158/0.3374/158/0.42108/1352/2.44303/7194/2.66
20110/349/0.41109/349/0.37135/321/0.42154/339/0.45
21806/3224/1.60600/1665/1.26875/14122/5.89929/10442/9.02
2272/275/0.5172/285/0.492104/2442/3.61161/440/0.92
234470/9572/1.335033/10748/2.4218912/38658/8.8720010/25808/6.95
2462/201/0.4262/201/0.401853/6983/3.392527/76854/9.01
25459/1091/0.60521/1192/0.78304/606/0.401199/1793/1.55
2656/153/0.0865/373/0.13128/1103/0.372697/14700/7.09
2785/203/0.1185/203/0.1291/193/0.13132/264/0.16
28534/1139/0.65514/1073/0.68288/558/0.35556/925/0.60
29540/1274/0.62537/1267/0.58852/1783/0.981014/2180/1.14
30576/1440/0.96591/1504/1.0520010/98171/6.4420010/317766/8.02
31113/236/0.16113/236/0.1179/168/0.10147/287/0.13
32813/2181/3.28735/1997/3.0320010/91480/9.4720010/179051/5.16
3398/268/0.1898/268/0.17631/11069/5.15837/17999/8.99
34346/766/0.48348/766/0.50716/1148/0.90744/1213/0.93
357635/12820/8.597554/12715/8.738375/13146/9.988539/12513/15.46
36280/978/0.43280/978/0.35330/695/0.37401/868/0.47
37217/534/0.31217/534/0.27610/6778/2.40820/11112/5.50
38121/287/0.14120/285/0.131565/42467/4.891624/45918/6.43
39150/329/0.64153/328/0.65174/290/0.54193/323/0.69
40107/217/0.65107/217/0.68253/426/1.034281/4461/11.17
41120/330/0.23120/330/0.25118/286/0.19124/298/0.20
423832/9998/2.513373/8928/7.183685/8619/8.3017419/22467/5.83
4340/80/0.1140/80/0.0899/119/0.1999/119/0.19
4450/110/0.1050/110/0.0550/110/0.0270/282/0.13
4543/184/0.0843/184/0.1112047/91618/9.9315601/521624/4.14
46427/1323/2.56427/1320/2.60409/1040/2.07597/1232/2.51
4764/249/0.0964/249/0.06133/380/0.15143/393/0.40
48308/798/1.39293/772/1.282549/27198/2.6115662/156182/6.10
4922/89/0.1122/89/0.131377/37674/8.581571/43940/8.14
5020/50/0.0320/50/0.0220/50/0.0220/50/0.03
5192/1755/2.2542/136/0.171620/5439/3.431680/46332/4.04
52107/418/0.16107/418/0.15125/360/0.14125/360/0.16
536199/52426/6.756199/52426/6.784160/9534/3.232233/8070/9.66
5451/151/0.2051/151/0.1975/173/0.2577/144/0.20
5560/140/0.1960/140/0.1960/120/0.1460/120/0.17
5670/140/0.2070/140/0.1770/140/0.2480/160/0.22
5779/158/0.2279/158/0.2279/158/0.2486/172/0.23
58143/570/0.25143/570/0.25177/506/0.25177/506/0.25
59188/498/0.29172/453/0.27209/460/0.30641/917/1.01
6083/236/0.1383/236/0.111615/43549/5.172005/57225/7.75
Total37602/124896/60.137426/121943/70.14167737/10741186/139.61271227/7136001/214.33

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