Skip to main content
Journal of Inequalities and Applications

Table 2 The numerical results of Algorithm 3.1 for some test problems

From: A simple approximated solution method for solving fractional trust region subproblems of nonlinearly equality constrained optimization

Pro

n

Starting point

Algorithm

Iter

nf/ng

Qg

CPU (s)

1

8

(2,1.5,0.5,…,2,1.5,0.5,2,1.5)

CTR

37

37/32

2.325673(−7)

0.065033

FTR

30

30/24

8.903926(−7)

0.265808

2

5

(2,1.5,−1,0.5,2)

CTR

12

12/12

1.923822(−8)

0.069842

FTR

12

12/11

1.208933(−7)

0.179698

3

5

(3,5,−3,3,5)

CTR

29

29/29

7.867587(−7)

0.104208

FTR

28

28/27

7.233105(−7)

0.209572

4

5

(7,7,5,−3,0.2)

CTR

28

28/24

8.816453(−7)

0.056596

FTR

25

25/25

1.794643(−7)

0.187379

5

5

(35,−31,11,5,−5)

CTR

20

20/20

8.080796(−7)

0.054710

FTR

19

19/19

9.688987(−7)

0.208662

6

5

(2.5,0.5,2,−1,0.5)

CTR

10

10/9

2.088608(−7)

0.050139

FTR

10

10/9

5.040703(−7)

0.170110

7

5

(3,3,3,3,3)

CTR

23

23/20

7.777555(−9)

0.058845

FTR

20

20/19

1.238526(−9)

0.191213

8

5

(3,3,3,3,3)

CTR

34

34/24

2.452030(−7)

0.085232

FTR

19

19/17

3.532659(−7)

0.189874

9

4

(−2,2,−2,2)

CTR

110

110/98

8.314982(−11)

0.163601

FTR

74

74/67

1.493034(−8)

0.331437

4

(−3,−1,−3,−1)

CTR

113

113/110

8.342504(−7)

0.167646

FTR

26

26/23

1.415245(−8)

0.209718

10

(−3,−1,…,−3,−1)

CTR

100

100/92

1.493407(−9)

0.203343

FTR

34

34/31

8.041779(−9)

0.285324

80

(−1,1,…,−1,1)

CTR

178

178/164

9.716836(−7)

0.871734

FTR

128

128/119

1.525727(−7)

3.198384

10

6

(−1,1,−1,1,−1,1)

CTR

22

22/19

1.976346(−7)

0.060672

FTR

14

14/12

2.538846(−7)

0.193613

4

(−1.2,1,−1.2,1)

CTR

27

27/24

7.132702(−9)

0.081467

FTR

24

24/22

6.336906(−9)

0.223280

11

4

(−1.2,1,−1.2,1)

CTR

118

118/103

1.144310(−7)

0.142733

FTR

16

16/12

9.425581(−7)

0.191315

4

(0.75,0.5,0.25,0)

CTR

59

59/45

3.391065(−8)

0.080867

FTR

42

42/32

9.504125(−7)

0.230135

4

(−3,−1,−3,−1)

CTR

15

15/15

1.422248(−9)

0.047370

FTR

13

13/13

2.558427(−7)

0.180390

4

(3,4,3,4)

CTR

538

538/515

2.226214(−7)

0.653460

FTR

19

19/17

2.771759(−7)

0.189182

4

(−1,1,−1,1)

CTR

160

160/142

1.398612(−8)

0.184020

FTR

12

12/11

6.116235(−9)

0.190648

Back to article page