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Table 1 Numerical comparisons with the known approaches for Examples 1–8

From: A range division and contraction approach for nonconvex quadratic program with quadratic constraints

Example

References

Optimum value

Optimum solution

Iter.

1

This paper

−16.000000000

(5.000000000, 1.000000000)

5

Thoai (2000)

−16.0

(5.0, 1.0)

10

Jiao and Chen (2013)

−16.000000000

(5.000000000, 1.000000000)

5

2

This paper

6.777777779

(2.000000000, 1.666666667)

14

Shen and Liu (2008)

6.777782016

(2.000000000, 1.666666667)

40

Jiao et al. (2014)

6.777778233

(2.0, 1.666666667)

32

Jiao et al. (2014)

6.777778517

(2.0, 1.666666667)

33

Wang and Liang (2005)

6.7780

(2.00003, 1.66665)

44

3

This paper

0.500000394

(0.500000000, 0.500000000)

28

Shen and Liu (2008)

0.500004627

(0.5  0.5)

34

Wang and Liang (2005)

0.5

(0.5, 0.5)

91

Wang et al. (2004)

0.5

(0.5, 0.5)

96

Jiao and Chen (2013)

0.500000442

(0.500000000, 0.500000000)

37

4

This paper

118.383672094

(2.555940349, 3.129963478)

45

Gao et al. (2005b)

118.383756475

(2.5557793695, 3.13016463929)

210

Jiao et al. (2014)

118.383672231

(2.555800904, 3.130134268)

61

Jiao and Chen (2013)

118.383671904

(2.555745855, 3.130201688)

59

5

This paper

−1.162881826

(1.500000000, 1.500000000)

31

Shen (2005)

−1.16288

(1.5, 1.5)

84

Jiao and Chen (2013)

−1.162882693

(1.500000000, 1.500000000)

24

6

This paper

1.177125219

(1.177124344, 2.177124344)

12

Shen and Jiao (2006)

1.177124327

(1.177124327, 2.177124353)

434

Jiao and Chen (2013)

1.177125051

(1.177124344, 2.177124344)

22

7

This paper

−0.999999102

(2.000000000, 1.000000000)

20

Shen and Jiao (2006)

−1.0

(2.000000, 1.000000)

24

Jiao and Chen (2013)

−0.999999410

(2.000000000, 1.000000000)

21

8

This paper

−11.36363579

(1.0, 0.181818133, 0.983332175)

352

Shen and Li (2013)

−10.35

(0.998712,0.196213,0.979216)

1648

Jiao and Chen (2013)

−11.363636364

(1.0, 0.181818470, 0.983332113)

420