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Table 1 Numerical results for test problems from the CUTEst library

From: Dai-Kou type conjugate gradient methods with a line search only using gradient

Name (Dim)

Method

Iter/Ng/CPU

ARGLINA (200)

Dai_Kou

14/28/1.673e − 02

PRP+

13/25/2.309e − 02

ARGLINB (200)

Dai_Kou

22 /43/2.577e − 02

PRP+

47/93/6.121e − 02

ARGLINC (200)

Dai_Kou

22/43/2.420e − 02

PRP+

47/92/6.144e − 02

BDQRTIC (500)

Dai_Kou

118/264/3.731e − 02

PRP+

181/317/6.208e − 02

BOX (10,000)

Dai_Kou

30/100/1.662e − 01

PRP+

56/104/2.615e − 01

BROWNAL (200)

Dai_Kou

22/42/1.004e − 02

PRP+

-/-/-

BROWNALE (200)

Dai_Kou

1/1/9.500e − 05

PRP+

1/1/1.070e − 04

BRYBND (5,000)

Dai_Kou

24/34/3.827e − 02

PRP+

32/62/9.025e − 02

CHAINWOO (4,000)

Dai_Kou

223/361/2.337e − 01

PRP+

271/480/4.458e − 01

CHNROSNB (50)

Dai_Kou

344/548/3.404e − 02

PRP+

564/952/8.028e − 02

CRAGGLVY (5,000)

Dai_Kou

142/273/2.638e − 01

PRP+

-/-/-

COSINE (1,000)

Dai_Kou

9/22/6.495e − 03

PRP+

14/25/1.433e − 02

CURLY10 (10,000)

Dai_Kou

-/-/-

PRP+

20,040/39,984/6.169e + 01

CURLY20 (10,000)

Dai_Kou

-/-/-

PRP+

27,216/54,259/1.278e + 02

DIXMAANA (3,000)

Dai_Kou

10/12/5.625e − 03

PRP+

16/27/2.274e − 02

DIXMAANB (3,000)

Dai_Kou

10/12/5.704e − 03

PRP+

11/15/1.145e − 02

DIXMAANC (3,000)

Dai_Kou

12/15/6.271e − 03

PRP+

14/21/1.697e − 02

DIXMAAND (3,000)

Dai_Kou

14/17/1.011e − 02

PRP+

16/24/1.547e − 02

DIXMAANE (3,000)

Dai_Kou

85/123/4.520e − 02

PRP+

80/152/8.792e − 02

DIXMAANF (3,000)

Dai_Kou

31/42/2.522e − 02

PRP+

30/41/4.214e − 02

DIXMAANG (3,000)

Dai_Kou

29/40/2.873e − 02

PRP+

27/35/2.557e − 02

DIXMAANH (3,000)

Dai_Kou

28/37/1.468e − 02

PRP+

26/34/2.635e − 02

DIXMAANI (3,000)

Dai_Kou

124/186/6.319e − 02

PRP+

124/239/1.124e − 01

DIXMAANJ (3,000)

Dai_Kou

36/52/2.502e − 02

PRP+

31/43/3.019e − 02

DIXMAANK (3,000)

Dai_Kou

34/48/2.063e − 02

PRP+

28/37/2.864e − 02

DIXMAANL (3,000)

Dai_Kou

29/40/1.661e − 02

PRP+

30/40/3.369e − 02

DIXMAANM (3,000)

Dai_Kou

104/154/6.135e − 02

PRP+

157/305/1.407e − 01

DIXMAANN (3,000)

Dai_Kou

63/93/3.813e − 02

PRP+

98/164/8.303e − 02

DIXMAANO (3,000)

Dai_Kou

59/86/2.737e − 02

PRP+

80/130/7.730e − 02

DIXMAANP (3,000)

Dai_Kou

56/77/3.176e − 02

PRP+

72/111/6.704e − 02

DIXON3DQ (10,000)

Dai_Kou

620/945/5.557e − 01

PRP+

1,467/2,933/2.524e + 00

DMN15103LS (99)

Dai_Kou

119/206/1.417e + 00

PRP+

39/106/1.053e + 00

DMN15333LS (99)

Dai_Kou

80/171/1.143e + 00

PRP+

-/-/-

DQDRTIC (5,000)

Dai_Kou

53/100/6.594e − 02

PRP+

76/151/1.327e − 01

DQRTIC (5,000)

Dai_Kou

18/31/1.109e − 02

PRP+

25/25/2.123e − 02

EDENSCH (1,000)

Dai_Kou

28/43/1.159e − 02

PRP+

31/51/1.590e − 02

EG2 (1,000)

Dai_Kou

19/37/9.933e − 03

PRP+

32/58/2.803e − 02

EIGENALS (2,550)

Dai_Kou

24,758/37,853/2.181e + 02

PRP+

21,640/41,892/3.618e + 02

ENGVAL1 (1,000)

Dai_Kou

25/35/6.147e − 03

PRP+

20/28/1.253e − 02

ERRINROS (50)

Dai_Kou

111/171 /1.860e − 02

PRP+

25,995/48,312/3.756e + 00

ERRINRSM (50)

Dai_Kou

419/805/4.634e − 02

PRP+

-/-/-

EXTROSNB (1,000)

Dai_Kou

652/1,063/1.300e − 01

PRP+

906/1,611/2.639e − 01

FLETBV3M (5,000)

Dai_Kou

115/263/4.331e − 01

PRP+

33/61/1.482e − 01

FLETCBV2 (5,000)

Dai_Kou

1/1/1.099e − 03

PRP+

1/1/1.283e − 03

FMINSRF2 (5,625)

Dai_Kou

251/386/2.966e − 01

PRP+

338/567/6.821e − 01

FREUROTH (5,000)

Dai_Kou

191/331 /2.437e − 01

PRP+

75/133/1.523e − 01

GENHUMPS (5,000)

Dai_Kou

9,378/20,870/3.155e + 01

PRP+

10,235/17,320/3.504e + 01

GENROSE (1,000)

Dai_Kou

3,054/4,706/7.083e − 01

PRP+

4,947/8,388/1.792e + 00

HYDC20LS (99)

Dai_Kou

2,541/3,952/4.016e − 01

PRP+

-/-/-

INDEF (5,000)

Dai_Kou

-/-/-

PRP+

-/-/-

INDEFM (1,000)

Dai_Kou

-/-/-

PRP+

628/1,271/5.722e − 01

JIMACK (3,549)

Dai_Kou

716/1,098/4.231e + 01

PRP+

401/725/4.284e + 01

LIARWHD (5,000)

Dai_Kou

50/150/8.031e − 02

PRP+

124/223/1.945e − 01

MANCINO (100)

Dai_Kou

8/17/5.880e − 02

PRP+

31/59/2.788e − 01

MODBEALE (10,000)

Dai_Kou

371/738/1.879e + 00

PRP+

-/-/-

MOREBV (5,000)

Dai_Kou

1/1/5.170e − 04

PRP+

1/1/7.230e − 04

MSQRTALS (1,024)

Dai_Kou

749/1,148/1.534e + 00

PRP+

520/969/1.854e + 00

MSQRTBLS (1,024)

Dai_Kou

783/1,196/1.639e + 00

PRP+

681/1279/2.391e + 00

NCB20 (5,010)

Dai_Kou

365/688/1.466e + 00

PRP+

148/248/8.941e − 01

NCB20B (5,000)

Dai_Kou

98/172/3.661e − 01

PRP+

77/131/4.434e − 01

NONCVXU2 (5,000)

Dai_Kou

1,159/1,751/1.945e + 00

PRP+

4,582/8,610/1.396e + 01

NONCVXUN (5,000)

Dai_Kou

1,247/1,887/2.110e + 00

PRP+

9,929/18,942/3.063e + 01

NONDIA (5,000)

Dai_Kou

13/23/1.189e − 02

PRP+

54/103/8.099e − 02

NONDQUAR (5,000)

Dai_Kou

66/129/5.082e − 02

PRP+

139/202/1.238e − 01

OSCIGRAD (10,000)

Dai_Kou

31/44/5.616e − 02

PRP+

-/-/-

OSCIPATH (500)

Dai_Kou

30/78/6.678e − 03

PRP+

-/-/-

PENALTY1 (1,000)

Dai_Kou

18/28/4.520e − 03

PRP+

-/-/-

PENALTY2 (200)

Dai_Kou

112/164 /2.145e − 02

PRP+

173/304/5.560e − 02

PENALTY3 (200)

Dai_Kou

-/-/-

PRP+

-/-/-

POWELLSG (5,000)

Dai_Kou

118/225/7.709e − 02

PRP+

147/260/1.233e − 01

POWER (10,000)

Dai_Kou

22/25/1.965e − 02

PRP+

-/-/-

QUARTC (5,000)

Dai_Kou

18/31/9.852e − 03

PRP+

25/25/2.080e − 02

SCHMVETT (5,000)

Dai_Kou

38/68/1.145e − 01

PRP+

33/63/1.478e − 01

SENSORS (100)

Dai_Kou

-/-/-

PRP+

32/65/4.099e − 01

SINQUAD (5,000)

Dai_Kou

117/270/2.988e − 01

PRP+

182/342/5.408e − 01

SPARSINE (5,000)

Dai_Kou

875/1348/1.708e + 00

PRP+

-/-/-

SPARSQUR (10,000)

Dai_Kou

21/22/4.845e − 02

PRP+

16/16/6.262e − 02

SPMSRTLS (4,999)

Dai_Kou

136/219/1.742e − 01

PRP+

161/278/3.338e − 01

SROSENBR (5,000)

Dai_Kou

26/63/2.904e − 02

PRP+

33/57/4.532e − 02

SSBRYBND (5,000)

Dai_Kou

6,337/9,751/9.184e + 00

PRP+

-/-/-

SSCOSINE (5,000)

Dai_Kou

-/-/-

PRP+

-/-/-

TESTQUAD (5,000)

Dai_Kou

5,068/7,734/1.948e + 00

PRP+

1,624/3,247/9.661e − 01

TOINTGOR (50)

Dai_Kou

131/195/1.998e − 02

PRP+

105/180/2.060e − 02

TOINTGSS (5,000)

Dai_Kou

18/37/2.997e − 02

PRP+

14/27/2.830e − 02

TOINTPSP (50)

Dai_Kou

142/268/2.158e − 02

PRP+

115/194/2.190e − 02

TOINTQOR (50)

Dai_Kou

43/64/7.463e − 03

PRP+

41/81/9.627e − 03

TQUARTIC (5,000)

Dai_Kou

35/103/4.848e − 02

PRP+

68/120/7.646e − 02

TRIDIA (5,000)

Dai_Kou

1,633/2,491/7.701e − 01

PRP+

628/1,255/5.693e − 01

VARDIM (200)

Dai_Kou

18/18/1.765e − 03

PRP+

-/-/-

VAREIGVL (50)

Dai_Kou

19/29/4.227e − 03

PRP+

23/39/6.727e − 03

WOODS (4,000)

Dai_Kou

36/67/3.083e − 02

PRP+

22/28/2.143e − 02