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Table 3 Numerical comparisons of four CG methods (continued)

From: Least-squares-based three-term conjugate gradient methods

Problems

LSTT+

MLSTT+

TTPRP

TTHS

Name/n

Itr/NF/NG/Tcpu/\(\|g_{*}\|\)

Itr/NF/NG/Tcpu/\(\|g_{*}\| \)

Itr/NF/NG/Tcpu/\(\|g_{*}\|\)

Itr/NF/NG/Tcpu/\(\|g_{*}\|\)

raydan2 20,000

14/78/29/0.169/3.19e-07

17/54/19/0.139/8.35e-07

17/54/19/0.136/6.26e-07

NaN/NaN/NaN/NaN/3.32e-05

diagonal1 60

NaN/NaN/NaN/NaN/5.01e-06

96/343/215/0.015/9.09e-07

71/219/161/0.010/9.47e-07

NaN/NaN/NaN/NaN/5.78e-06

diagonal2 15,000

828/548/1076/4.042/6.21e-07

807/447/1004/3.878/7.15e-07

832/742/1176/4.435/8.85e-07

899/527/1135/4.248/5.79e-07

diagonal2 20,000

947/676/1259/6.252/8.52e-07

1028/633/1319/6.707/8.60e-07

1075/893/1496/7.451/9.85e-07

1031/566/1288/6.366/7.35e-07

diagonal2 50,000

1425/829/1813/21.910/8.79e-07

1504/895/1925/23.985/9.63e-07

NaN/NaN/NaN/NaN/1.68e-06

NaN/NaN/NaN/NaN/1.97e-06

diagonal3 30

62/61/66/0.006/9.25e-07

59/64/64/0.005/5.95e-07

63/62/67/0.005/8.85e-07

61/98/78/0.006/7.47e-07

diagonal3 100

NaN/NaN/NaN/NaN/1.05e-05

122/754/474/0.035/7.10e-07

NaN/NaN/NaN/NaN/1.10e-05

NaN/NaN/NaN/NaN/1.26e-06

bv 300

1679/801/2072/1.434/8.06e-07

1193/589/1481/1.027/9.41e-07

1687/1256/2307/1.620/9.17e-07

NaN/NaN/NaN/NaN/2.92e-06

bv 1500

13/10/15/0.280/7.37e-07

27/22/35/0.653/7.83e-07

24/18/30/0.554/8.09e-07

26/12/29/0.517/9.28e-07

bv 2000

5/5/5/0.174/8.10e-07

5/5/5/0.173/8.31e-07

7/7/8/0.274/7.81e-07

7/5/7/0.232/8.75e-07

ie 10

15/37/15/0.005/4.09e-07

9/38/9/0.004/4.36e-07

15/40/15/0.005/5.67e-07

13/39/13/0.005/4.44e-07

ie 100

19/43/19/0.244/7.49e-07

13/42/13/0.203/2.63e-07

16/41/16/0.219/6.58e-07

19/44/19/0.248/2.70e-07

ie 200

16/42/16/0.861/7.41e-07

14/43/14/0.818/1.22e-08

19/41/19/0.916/8.60e-07

15/44/15/0.853/5.61e-07

singx 100

149/255/242/0.037/8.69e-07

305/420/482/0.071/9.92e-07

245/656/539/0.085/7.28e-07

248/464/447/0.064/8.44e-07

singx 800

182/306/299/3.003/8.08e-07

137/189/196/1.992/6.79e-07

188/517/413/4.136/7.94e-07

211/395/372/3.683/7.38e-07

singx 3000

250/433/432/60.254/7.77e-07

247/385/402/56.118/3.19e-07

262/707/578/82.289/6.97e-07

238/465/433/61.068/7.24e-07

woods 100

308/549/539/2.939/5.14e-07

248/411/409/2.277/9.23e-07

308/721/625/3.447/4.62e-07

192/414/356/2.014/9.92e-07

band 3

19/63/20/0.003/9.34e-07

20/66/22/0.003/2.01e-07

19/62/19/0.003/2.06e-07

19/63/19/0.003/3.26e-07

band 50

28/68/29/0.014/5.93e-07

26/70/27/0.014/7.08e-07

48/71/49/0.019/7.50e-07

37/70/38/0.016/8.95e-07

bard 3

146/231/236/0.044/9.52e-07

84/119/116/0.024/7.55e-07

141/353/290/0.053/9.71e-07

82/165/136/0.027/1.92e-07

beale 2

46/136/87/0.007/6.62e-07

55/123/91/0.007/5.02e-07

55/217/133/0.009/8.50e-07

42/117/73/0.005/5.77e-07

box 3

76/246/171/0.016/8.42e-07

48/106/76/0.008/2.48e-07

56/183/124/0.011/7.91e-07

47/71/56/0.006/5.32e-07

froth 2

92/283/204/0.014/4.19e-07

77/322/196/0.013/7.76e-07

56/400/216/0.014/9.58e-07

48/243/137/0.009/9.42e-07

jensam 2

45/141/89/0.007/9.89e-07

66/130/103/0.008/8.59e-07

43/149/89/0.007/2.82e-07

40/169/95/0.007/3.18e-07

kowosb 4

246/384/420/0.037/4.44e-07

189/264/304/0.028/9.95e-07

211/541/464/0.040/9.10e-07

199/452/408/0.035/9.51e-07

lin 500

2/2/2/0.028/1.10e-13

2/2/2/0.029/1.10e-13

2/2/2/0.028/1.10e-13

2/2/2/0.028/1.10e-13

osb2 11

547/436/741/0.138/9.70e-07

513/403/690/0.128/9.17e-07

620/638/914/0.165/9.72e-07

409/325/546/0.100/6.25e-07

pen1 80

79/255/156/0.160/4.38e-07

173/495/368/0.332/1.41e-07

80/285/175/0.173/3.16e-07

89/318/197/0.194/1.38e-07

rosex 1100

89/224/165/2.938/4.86e-07

94/253/185/3.234/9.68e-07

71/271/169/3.085/2.45e-07

56/302/174/3.146/5.25e-07

trid 100

81/78/91/0.031/9.37e-07

77/84/90/0.031/9.50e-07

100/96/118/0.038/7.88e-07

91/77/100/0.033/9.27e-07

trid 1000

94/81/103/1.019/7.08e-07

93/79/103/1.018/9.02e-07

96/91/110/1.077/9.02e-07

105/77/113/1.084/9.01e-07

vardim 8

15/86/15/0.003/7.29e-08

15/86/15/0.003/7.29e-08

15/86/15/0.003/7.29e-08

15/86/15/0.003/7.29e-08

watson 3

47/76/56/0.010/2.35e-07

49/80/61/0.010/7.77e-07

55/129/91/0.014/3.63e-07

53/121/85/0.013/4.29e-07

wood 4

241/434/418/0.030/6.55e-07

200/348/335/0.025/6.91e-07

243/563/484/0.033/9.17e-07

132/247/217/0.016/7.56e-07