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Table 1 Test problems

From: A modified three-term PRP conjugate gradient algorithm for optimization models

No.

Problems

\(\boldsymbol{x_{0}}\)

1

Extended Freudenstein and Roth function

[0.5,−2,…,0.5,−2]

2

Extended trigonometric function

[0.2,0.2,…,0.2]

3

Extended Rosenbrock function

[−1.2,1,−1.2,1,…,−1.2,1]

4

Extended White and Holst function

[−1.2,1,−1.2,1,…,−1.2,1]

5

Extended Beale function

[1,0.8,…,1,0.8]

6

Extended penalty function

[1,2,3,…,n]

7

Perturbed quadratic function

[0.5,0.5,…,0.5]

8

Raydan 1 function

[1,1,…,1]

9

Raydan 2 function

[1,1,…,1]

10

Diagonal 1 function

[1/n,1/n,…,1/n]

11

Diagonal 2 function

[1/1,1/2,…,1/n]

12

Diagonal 3 function

[1,1,…,1]

13

Hager function

[1,1,…,1]

14

Generalized tridiagonal 1 function

[2,2,…,2]

15

Extended tridiagonal 1 function

[2,2,…,2]

16

Extended three exponential terms function

[0.1,0.1,…,0.1]

17

Generalized tridiagonal 2 function

[−1,−1,…,−1,−1]

18

Diagonal 4 function

[1,1,…,1,1]

19

Diagonal 5 function

[1.1,1.1,…,1.1]

20

Extended Himmelblau function

[1,1,…,1]

21

Generalized PSC1 function

[3,0.1,…,3,0.1]

22

Extended PSC1 function

[3,0.1,…,3,0.1]

23

Extended Powell function

[3,−1,0,1,…]

24

Extended block diagonal BD1 function

[0.1,0.1,…,0.1]

25

Extended Maratos function

[1.1,0.1,…,1.1,0.1]

26

Extended Cliff function

[0,−1,…,0,−1]

27

Quadratic diagonal perturbed function

[0.5,0.5,…,0.5]

28

Extended Wood function

[−3,−1,−3,−1,…,−3,−1]

29

Extended Hiebert function

[0,0,…,0]

30

Quadratic QF1 function

[1,1,…,1]

31

Extended quadratic penalty QP1 function

[1,1,…,1]

32

Extended quadratic penalty QP2 function

[1,1,…,1]

33

Quadratic QF2 function

[0.5,0.5,…,0.5]

34

Extended EP1 function

[1.5.,1.5.,…,1.5]

35

Extended tridiagonal-2 function

[1,1,…,1]

36

BDQRTIC function (CUTE)

[1,1,…,1]

37

TRIDIA function (CUTE)

[1,1,…,1]

38

ARWHEAD function (CUTE)

[1,1,…,1]

39

NONDIA (Shanno-78) function (CUTE)

[−1,−1,…,−1]

40

NONDQUAR function (CUTE)

[1,−1,1,−1,…,1,−1]

41

DQDRTIC function (CUTEr)

[3,3,3...,3]

42

EG2 function (CUTE)

[1,1,1...,1]

43

DIXMAANA function (CUTE)

[2,2,2,…,2]

44

DIXMAANB function (CUTE)

[2,2,2,…,2]

45

DIXMAANC function (CUTE)

[2,2,2,…,2]

46

DIXMAANE function (CUTE)

[2,2,2,…,2]

47

Partial perturbed quadratic function

[0.5,0.5,…,0.5]

48

Broyden tridiagonal function

[−1,−1,…,−1]

49

Almost perturbed quadratic function

[0.5,0.5,…,0.5]

50

Tridiagonal perturbed quadratic function

[0.5,0.5,…,0.5]

51

EDENSCH function (CUTE)

[0,0,…,0]

52

VARDIM function (CUTE)

[1 − 1/n,1 − 2/n,…,1 − n/n]

53

STAIRCASE S1 function

[1,1,…,1]

54

LIARWHD function (CUTEr)

[4,4,…,4]

55

DIAGONAL 6 function

[1,1,…,1]

56

DIXON3DQ function (CUTE)

[−1,−1,…,−1]

57

DIXMAANF function (CUTE)

[2,2,2,…,2]

58

DIXMAANG function (CUTE)

[2,2,2,…,2]

59

DIXMAANH function (CUTE)

[2,2,2,…,2]

60

DIXMAANI function (CUTE)

[2,2,2,…,2]

61

DIXMAANJ function (CUTE)

[2,2,2,…,2]

62

DIXMAANK function (CUTE)

[2,2,2,…,2]

63

DIXMAANL function (CUTE)

[2,2,2,…,2]

64

DIXMAAND function (CUTE)

[2,2,2,…,2]

65

ENGVAL1 function (CUTE)

[2,2,2,…,2]

66

FLETCHCR function (CUTE)

[0,0,…,0]

67

COSINE function (CUTE)

[1,1,…,1]

68

Extended DENSCHNB function (CUTE)

[1,1,…,1]

69

DENSCHNF function (CUTEr)

[2,0,2,0,…,2,0]

70

SINQUAD function (CUTE)

[0.1,0.1,…,0.1]

71

BIGGSB1 function (CUTE)

[0,0,…,0]

72

Partial perturbed quadratic PPQ2 function

[0.5,0.5,…,0.5]

73

Scaled quadratic SQ1 function

[1,2,…,n]

74

Scaled quadratic SQ2 function

[1,2,…,n]