Skip to main content

Theory and Modern Applications

Table 3 Numerical results of the TTRMIL and TTRMIL+ methods using weak Wolfe line search

From: On three-term conjugate gradient method for optimization problems with applications on COVID-19 model and robotic motion control

Number

TTRMIL

TTRMIL+

 

NOI

NOF

CPU

NOI

NOF

CPU

1

93

358

0.1801

23

150

0.0711

2

9929

29,974

12.2849

84

513

0.2698

3

88

342

1.3363

30

181

0.6683

4

4957

14,979

76.0681

45

307

1.4779

5

78

295

0.0782

35

175

0.0473

6

120

467

0.1551

54

313

0.0894

7

108

384

0.7369

30

163

0.2912

8

50

176

0.4424

59

290

0.6383

9

24

120

0.3335

16

87

0.2462

10

24

120

1.0537

27

120

1.0524

11

38

112

0.0976

20

75

0.0503

12

34

101

0.0697

46

148

0.1227

13

59

183

0.8012

24

100

0.6058

14

37

109

0.4909

48

154

1.0408

15

70

164

0.0186

19

65

0.0015

16

122

302

0.0133

39

197

0.0039

17

109

329

0.0205

110

333

0.0402

18

179

539

0.0533

173

541

0.0511

19

369

1110

0.3641

17

80

0.0435

20

414

1216

0.4525

18

83

0.0447

21

488

1419

0.7491

17

80

0.048

22

293

935

0.4831

23

104

0.0648

23

14

39

0.0254

11

30

0.0114

24

19

53

0.0171

13

36

0.0157

25

14

39

0.0223

7

19

0.012

26

19

53

0.0234

13

35

0.0186

27

9

32

0.0359

9

34

0.0144

28

13

58

0.0297

15

60

0.0254

29

10

41

0.1842

9

39

0.1533

30

11

50

0.202

13

57

0.1416

31

73

288

0.0248

72

290

0.005

32

139

699

0.018

141

729

0.0115

33

F

F

F

F

F

F

34

F

F

F

F

F

F

35

31

95

0.014

12

44

0.0023

36

29

102

0.0049

22

100

0.0013

37

8

24

0.0141

5

16

4.05E−04

38

10

40

0.0018

9

35

6.82E−04

39

11

43

0.0039

9

35

0.0032

40

13

73

0.0053

9

47

0.0037

41

27

95

0.0177

23

85

0.014

42

22

83

2.70E − 03

16

66

0.0043

43

F

F

F

26

104

0.0103

44

20

107

0.3942

10

46

0.0066

45

23

60

0.0095

24

63

0.0014

46

34

89

0.0057

32

86

0.0019

47

42

206

0.0132

47

261

0.0057

48

51

213

0.005

50

275

0.0073

49

7

26

0.0071

6

25

3.28E−04

50

8

41

5.62E − 04

9

44

4.61E−04

51

27

85

0.0073

19

275

0.0078

52

F

F

F

23

393

0.0133

53

2

6

1.98E − 02

2

6

4.81E−04

54

2

6

2.60E − 03

2

6

1.71E−04

55

1

3

6.50E − 03

1

3

1.87E−04

56

13

48

5.90E − 03

10

37

9.83E−04

57

21

59

0.0095

17

61

0.0026

58

25

80

9.51E − 04

13

50

7.63E−04

59

27

71

0.371

13

39

0.012

60

40

124

0.1116

19

78

0.0245

61

34

98

2.2351

26

74

0.1941

62

60

195

0.4584

24

82

0.1785

63

F

F

F

F

F

F

64

F

F

F

F

F

F

65

80

261

0.2371

79

268

0.0158

66

90

361

0.019

81

318

0.0186

67

214

703

0.0263

17

94

0.0012

68

125

586

0.0222

54

371

0.0042

69

22

69

0.0138

22

69

0.0013

70

32

132

0.005

27

104

0.0027

71

16

42

1.33E − 02

17

46

6.91E−04

72

14

47

7.42E − 04

23

71

0.0013

73

123

369

1.59E − 02

123

369

0.0064

74

139

417

7.80E − 03

139

417

0.0083

75

69

207

0.0162

69

207

0.0084

76

78

234

0.0182

78

234

0.0105

77

447

1341

0.2032

447

1341

0.1934

78

500

1500

0.188

500

1500

0.2052

79

61

419

0.2168

38

320

0.0215

80

163

701

0.0447

41

324

0.0225

81

1516

5038

0.7924

61

594

0.1043

82

84

683

0.1154

82

762

0.1268

83

10

34

1.03E − 02

15

51

0.0011

84

18

71

1.10E − 03

18

71

0.0013

85

580

1890

0.0407

804

2608

0.0368

86

740

2315

0.0271

777

2471

0.0367

87

29

145

9.60E − 03

9

63

6.19E−04

88

37

185

0.0018

11

77

8.07E−04

89

838

3098

0.0527

683

2426

0.0262

90

567

1924

0.017

493

1847

0.023

91

23

75

1.34E − 02

20

68

6.89E−04

92

36

154

0.0023

39

153

0.0021

93

1

3

0.0723

1

3

0.0064

94

1

3

0.008

1

3

0.0058

95

46

138

0.0085

46

138

0.0071

96

81

243

0.0185

81

243

0.0072

97

24

79

0.0159

24

103

0.0048

98

23

76

0.0107

F

F

F

99

14

46

0.2267

F

F

F

100

F

F

F

15

50

0.0131

101

45

365

0.7906

4

31

0.0886

102

46

381

1.5578

4

31

0.1567

103

46

381

2.2696

4

31

0.2059

104

47

397

2.9721

4

31

0.2747