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Results on HZ/CHS/DKB(the code of CG_DESCENT)

标签： numerical   results   (JOTA-D-13-00746)  
2014-04-13 23:03 阅读(?)评论(0)
  Table 2                                                                                                                                                                                                        
               Test results on HZ/CHS/DKB methods performed by      
         the code ofCG DESCENT written by Hager and Zhang          

Acknowledgements： We would like to thank Professor  N. Andrei for his THREECG 
code and Professors W.W.Hager and H. Zhang for their CG-DESCENT code for numerical 
comparison. 

No

Function Name

HZ

CHS

DKB

No

Function Name

NI/NF/NG

NI/NF/NG

NI/NF/NG

1

Extended Freudenstein and Roth

13/31/23

13/33/25

16/36/26

2

Extended Trigonometric

90/186/99

74/153/82

69/139/70

3

Extended Rosenbrock

33/90/69

39/100/74

26/70/49

4

Extended White and Holst            

32/97/72                

27/81/61                 

29/80/57              

5

Extended Beale  

15/32/17

13/29/20

11/23/13      

6

Extended Penalty                

24/47/29         

21/41/24         

25/46/31

7

Perturbed Quadratic

556/1113/557    

556/1113/557

556/1113/557     

8

Raydan 1

694/966/1118

658/918/1058

658/916/1060

9

Raydan 2

4/9/5

4/9/5

4/9/5

10

Diagonal 1

Failed

Failed

Failed

11

Diagonal 2

551/1091/643

503/1030/609

485/954/539

12

Diagonal 3

779/985/1354

758/970/1306

759/973/1306

13

Hager

86/137/135

80/129/125

82/133/127

14

Generalized Tridiagonal 1

22/39/29

22/38/30

22/38/30

15

Extended Tridiagonal 1

12/25/15

21/43/22

21/44/27

16

Extended Three Expo Terms

9/20/13

8/19/14

7/16/11

17

Generalized Tridiagonal 2

96/332/236

72/250/178

106/336/260

18

Diagonal 4

441/1523/1086

135/468/333

273/940/667

19

Diagonal 5

18/64/47

18/64/47

18/64/47

20

Extended Himmelblau

63/221/158

58/204/146

62/228/156

21

Generalized PSC1

389/677/926

304/577/720

658/1086/1543

22

Extended PSC1

40/138/102

35/121/90

37/128/95

23

Extended Powell

662/2271/1613

646/2229/1595

1349/4628/3281

24

Extended Block-Diagonal BD1

13/37/34

17/46/39

15/39/35

25

Extended Maratos

59/189/152

66/225/191

50/163/129

26

Extended Cli?

15/32/18

10/30/22

14/44/35

27

Quadratic Diagonal Perturbed

308/617/380

293/587/350

301/603/368

28

Extended Wood

245/541/314

221/510/319

363/763/412

29

Extended Hiebert

68/242/195

65/258/218

71/218/165

30

Quadratic QF1

558/1117/559

558/1117/559

558/1117/559

31

Extended Quadratic Penalty QP1

17/35/21

18/35/22

16/34/20

32

Extended Quadratic Penalty QP2  

45/140/105

41/126/98

40/109/80

33

Quadratic QF2

1105/2019/1305

1141/2053/1379

1109/2022/1314

34

Extended EP1

2/55/55

2/59/58

2/55/55

35

Extended Tridiagonal 2

33/58/49

32/57/49

31/51/44

36

BDQRTIC (CUTE)

1002/2176/1787

1874/3919/2341

1833/3781/2098

37

TRIDIA (CUTE)

1115/2231/1116

1116/2233/1117

1116/2233/1117

38

ARWHEAD (CUTE)

10/22/15

9/24/18

8/17/11

39

NONDIA (CUTE)

9/28/23

7/27/23

11/25/17

40

NONDQUAR (CUTE)

10001/20006/10006

10004/20012/10012

1221/2259/1252   

41

DQDRTIC (CUTE)

7/15/8

7/15/8

7/15/8

42

EG2 (CUTE)

308/736/791

77/212/169

277/645/455

43

DIXMAANA (CUTE)

9/19/10

7/15/8

8/17/9

44

DIXMAANB (CUTE)

9/19/10

8/17/9

9/19/10

45

DIXMAANC (CUTE)

10/21/11

9/19/10

9/19/10

46

DIXMAANE (CUTE)

377/755/378

377/755/378

378/757/379

47

Partial Perturbed Quadratic PPQ1

10/21/11

9/19/10

10/21/12

48

Broyden Tridiagonal

33/67/34

37/75/38

36/73/37

49

Almost Perturbed Quadratic

558/1117/559

558/1117/559

558/1117/559

50

Tridiagonal Perturbed Quadratic

527/1055/528

527/1055/528

527/1055/528

51

EDENSCH (CUTE)

25/45/38

24/42/32

23/40/34

52

VARDIM (CUTE)

8/18/11

10/26/16

9/22/13

53

STAIRCASE S1

19400/38801/19401

19923/39847/19925

19864/39729/19865

54

LIARWHD (CUTE)

17/43/30

17/42/31

18/43/29

55

Diagonal 6

4/9/5

4/9/5

4/9/5

56

DIXON3DQ (CUTE)

10000/20001/10002

10000/20001/10002

10000/20001/10002

57

DIXMAANF (CUTE)

22/40/30

23/45/35

25/45/36

58

DIXMAANG (CUTE)

11/23/12

11/23/12

11/23/12

59

DIXMAANH (CUTE)

12/28/17

14/35/23

13/28/15

60

DIXMAANI (CUTE)

7/15/8

8/17/9

7/15/8

61

DIXMAANJ (CUTE)

10/21/11

11/23/12

10/22/12

62

DIXMAANK (CUTE)

Failed

Failed

Failed

63

DIXMAANL (CUTE)

5000/10001/5001

5000/10001/5001

5000/10001/5001

64

ENGVAL1 (CUTE)

11/23/12

13/27/17

13/27/17

65

FLETCHCR (CUTE)

10/21/11

10/21/11

9/19/10

66

COSINE (CUTE)

4/13/11

5/15/13

3/11/9

67

Extended DENSCHNB (CUTE)

4/9/5

4/9/5

4/9/5

68

Extended DENSCHNF (CUTE)

2/5/3

2/5/3

2/5/3

69

SINQUAD (CUTE)

12/26/15

10/21/12

10/21/11

70

BIGGSB1 (CUTE)

37/76/39

27/56/29

27/56/29

71

Partial Perturbed Quadratic PPQ2

6145/12624/6567

20007/40009/20123

13930/27957/14038

72

Scaled Quadratic SQ1

3/7/5

4/8/7

4/8/7

73

Scaled Quadratic SQ2

21/46/26

24/52/29

23/50/28


\begin{center} \textbf{Table 1} \textcolor[rgb]{0.00,0.00,1.00}{\textbf{Test~~  results~~  on~~  HZ/CHS/DKB~~ methods~~   performed~  ~ by~  ~ the~ ~code~   of ~     CG\_DESCENT
~  ~ written ~by  ~ Hager ~and  ~Zhang }}
\end{center}
%$$\mathbf{Table  ~ 1}: Test~~  results~~  on~~  HZ/CHS/DKB~~
% methods~~   performed~  ~ by~  ~ the~ ~   CG\_DESCENT  $$
 
 
\small 
\begin{longtable}{|c|c|c|c|c|}\hline


\multirow{2}*{No }&\multirow{2}*{Function Name } &HZ&CHS&DKB\\
\cline{3-5} && NI/NF/NG& NI/NF/NG&NI/NF/NG \\
\hline 1 & Extended Freudenstein  and Roth   & 13/31/23 & 13/33/25 & 16/36/26 \\
\hline 2 & Extended Trigonometric & 90/186/99 & 74/153/82 & 69/139/70 \\
\hline 3 & Extended Rosenbrock & 33/90/69 & 39/100/74 & 26/70/49 \\
\hline 4 & Extended White and Holst & 32/97/72 & 27/81/61 & 29/80/57 \\
\hline 5 & Extended Beale & 15/32/17 & 13/29/20 & 11/23/13 \\
\hline 6 & Extended Penalty & 24/47/29 & 21/41/24 & 25/46/31 \\
\hline 7 & Perturbed Quadratic & 556/1113/557 & 556/1113/557 & 556/1113/557 \\
\hline 8 & Raydan 1 & 694/966/1118 & 658/918/1058 & 658/916/1060 \\
\hline 9 & Raydan 2 & 4/9/5 & 4/9/5 & 4/9/5 \\
\hline 10 & Diagonal 1                         & Failed & Failed & Failed \\
\hline 11 & Diagonal 2   & 551/1091/643 & 503/1030/609 & 485/954/539 \\
\hline 12 & Diagonal 3   & 779/985/1354 & 758/970/1306 & 759/973/1306 \\
\hline 13 & Hager   & 86/137/135 & 80/129/125 & 82/133/127 \\
\hline 14 & Generalized Tridiagonal 1 & 22/39/29 & 22/38/30 & 22/38/30 \\
\hline 15 & Extended Tridiagonal 1 & 12/25/15 & 21/43/22 & 21/44/27 \\
\hline 16 & Extended Three Expo Terms & 9/20/13 & 8/19/14 & 7/16/11 \\
\hline 17 & Generalized Tridiagonal 2 & 96/332/236 & 72/250/178 & 106/336/260 \\
\hline 18 & Diagonal 4 & 441/1523/1086 & 135/468/333 & 273/940/667 \\
\hline 19 & Diagonal 5 & 18/64/47 & 18/64/47 & 18/64/47 \\
\hline 20 & Extended Himmelblau       & 63/221/158 & 58/204/146 & 62/228/156 \\
\hline 21 & Generalized PSC1 & 389/677/926 & 304/577/720 & 658/1086/1543 \\
\hline 22 & Extended PSC1 & 40/138/102 & 35/121/90 & 37/128/95 \\
\hline 23 & Extended Powell & 662/2271/1613 & 646/2229/1595 & 1349/4628/3281 \\
\hline 24 & Extended Block-Diagonal BD1 & 13/37/34 & 17/46/39 & 15/39/35 \\
\hline 25 & Extended Maratos & 59/189/152 & 66/225/191 & 50/163/129 \\
\hline 26 & Extended Cliff & 15/32/18 & 10/30/22 & 14/44/35 \\
\hline 27 & Quadratic Diagonal Perturbed & 308/617/380 & 293/587/350 & 301/603/368 \\
\hline 28 & Extended Wood & 245/541/314 & 221/510/319 & 363/763/412 \\
\hline 29 & Extended Hiebert & 68/242/195 & 65/258/218 & 71/218/165 \\
\hline 30 & Quadratic QF1                 & 558/1117/559 & 558/1117/559 & 558/1117/559 \\
\hline 31 & Extended Quadratic Penalty QP1 & 17/35/21 & 18/35/22 & 16/34/20 \\
\hline 32 & Extended Quadratic Penalty QP2 & 45/140/105 & 41/126/98 & 40/109/80 \\
\hline 33 & Quadratic QF2 & 1105/2019/1305 & 1141/2053/1379 & 1109/2022/1314 \\
\hline 34 & Extended EP1 & 2/55/55 & 2/59/58 & 2/55/55 \\
\hline 35 & Extended Tridiagonal 2 & 33/58/49 & 32/57/49 & 31/51/44 \\
\hline 36 & BDQRTIC (CUTE) & 1002/2176/1787 & 1874/3919/2341 & 1833/3781/2098 \\
\hline 37 & TRIDIA (CUTE) & 1115/2231/1116 & 1116/2233/1117 & 1116/2233/1117 \\
\hline 38 & ARWHEAD (CUTE) & 10/22/15 & 9/24/18 & 8/17/11 \\
\hline 39 & NONDIA (CUTE) & 9/28/23 & 7/27/23 & 11/25/17 \\
\hline 40 & NONDQUAR (CUTE)                 & 10001/20006/10006 & 10004/20012/10012 & 1221/2259/1252 \\
\hline 41 & DQDRTIC (CUTE) & 7/15/8 & 7/15/8 & 7/15/8 \\
\hline 42 & EG2 (CUTE) &  308/736/791 &  77/212/169 & 277/645/455 \\
\hline 43 & DIXMAANA (CUTE) & 9/19/10 & 7/15/8 & 8/17/9 \\
\hline 44 & DIXMAANB (CUTE) & 9/19/10 & 8/17/9 & 9/19/10 \\
\hline 45 & DIXMAANC (CUTE) & 10/21/11 & 9/19/10 & 9/19/10 \\
\hline 46 & DIXMAANE (CUTE) & 377/755/378 & 377/755/378 & 378/757/379 \\
\hline 47 & Partial Perturbed Quadratic PPQ1 & 10/21/11 & 9/19/10 & 10/21/12 \\
\hline 48 & Broyden Tridiagonal & 33/67/34 & 37/75/38 & 36/73/37 \\
\hline 49 & Almost Perturbed Quadratic & 558/1117/559 & 558/1117/559 & 558/1117/559 \\
\hline 50 & Tridiagonal Perturbed Quadratic & 527/1055/528 & 527/1055/528 & 527/1055/528 \\
\hline 51 & EDENSCH (CUTE) & 25/45/38 & 24/42/32 & 23/40/34 \\
\hline 52 & VARDIM (CUTE) & 8/18/11 & 10/26/16 & 9/22/13 \\
\hline 53 & STAIRCASE S1 & 19400/38801/19401 & 19923/39847/19925 & 19864/39729/19865 \\
\hline 54 & LIARWHD (CUTE) & 17/43/30 & 17/42/31 & 18/43/29 \\
\hline 55 & Diagonal 6 & 4/9/5 & 4/9/5 & 4/9/5 \\
\hline 56 & DIXON3DQ (CUTE)   & 10000/20001/10002 & 10000/20001/10002 & 10000/20001/10002 \\
\hline 57 & DIXMAANF (CUTE) & 22/40/30 & 23/45/35 & 25/45/36 \\
\hline 58 & DIXMAANG (CUTE) & 11/23/12 & 11/23/12 & 11/23/12 \\
\hline 59 & DIXMAANH (CUTE) & 12/28/17 & 14/35/23 & 13/28/15 \\
\hline 60 & DIXMAANI (CUTE)               & 7/15/8 & 8/17/9 & 7/15/8 \\
\hline 61 & DIXMAANJ (CUTE) & 10/21/11 & 11/23/12 & 10/22/12 \\
\hline 62 & DIXMAANK (CUTE) & Failed & Failed & Failed \\
\hline 63 & DIXMAANL (CUTE) & 5000/10001/5001 & 5000/10001/5001 & 5000/10001/5001 \\
\hline 64 & ENGVAL1 (CUTE) & 11/23/12 & 13/27/17 & 13/27/17 \\
\hline 65 & FLETCHCR (CUTE) & 10/21/11 & 10/21/11 & 9/19/10 \\
\hline 66 & COSINE (CUTE) & 4/13/11 & 5/15/13 & 3/11/9 \\
\hline 67 & Extended DENSCHNB (CUTE) & 4/9/5 & 4/9/5 & 4/9/5 \\
\hline 68 & Extended DENSCHNF (CUTE) & 2/5/3 & 2/5/3 & 2/5/3 \\
\hline 69 & SINQUAD (CUTE)                         & 12/26/15 & 10/21/12 & 10/21/11 \\
\hline 70 & BIGGSB1 (CUTE)                   & 37/76/39 & 27/56/29 & 27/56/29 \\
\hline 71 & Partial Perturbed Quadratic PPQ2 & 6145/12624/6567 & 20007/40009/20123 & 13930/27957/14038 \\
\hline 72 & Scaled Quadratic SQ1 & 3/7/5 & 4/8/7 & 4/8/7 \\
\hline 73 & Scaled Quadratic SQ2 & 21/46/26 & 24/52/29 & 23/50/28 \\
%\hline 74 & HIMMELBG (CUTE) & 1/8/8 & 1/8/8 & 1/8/8 \\
%\hline 75 & HIMMELBH (CUTE) & 8/19/11 & 7/17/10 & 8/19/11 \\
%\hline 76 & DIAGONAL 9 (experiments) & 2/5/3 & 2/5/3 & 2/5/3 \\

\hline


\end{longtable}
  最后修改于 2014-10-02 22:15    阅读(?)评论(0)
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