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Table 1 Numerical results

From: A modified nonmonotone BFGS algorithm for unconstrained optimization

Problem Dim BFGS-WP NI/NFG/Time BFGS-WP-Zhang NI/NFG/Time BFGS-Non NI/NFG/Time BFGS-M-Non NI/NFG/Time
ROSE 2 35/590/4.506480e−002 31/611/4.882020e−002 2/19/6.259000e−003 2/19/6.259000e−003
FROTH 2 9/116/1.376980e−002 7/90/1.001440e−002 2/19/6.259000e−003 2/19/7.510800e−003
BADSCP 2 43/706/5.507920e−002 43/706/5.507920e−002 8/264/2.753960e−002 8/264/2.753960e−002
BADSCB 2 3/60/1.126620e−002 3/60/1.001440e−002 3/32/7.510800e−003 3/32/6.259000e−003
BEALE 2 15/220/2.128060e−002 16/226/2.002880e−002 2/19/6.259000e−003 2/19/6.259000e−003
JENSAM 2 2/42/1.126620e−002 2/42/1.001440e−002 2/19/6.259000e−003 2/19/8.762600e−003
HELIX 3 34/483/4.381300e−002 23/325/3.004320e−002 169/2,191/2.090506e−001 87/1,163/1.114102e−001
BARD 3 16/229/3.004320e−002 14/182/2.503600e−002 72/930/1.226764e−001 72/930/1.226764e−001
GAUSS 3 2/19/6.259000e−003 2/19/6.259000e−003 2/19/7.510800e−003 2/19/7.510800e−003
MEYER 3 2/42/1.376980e−002 2/42/1.251800e−002 2/32/1.126620e−002 2/32/1.251800e−002
GULF 3 2/42/1.502160e−002 2/42/1.502160e−002 2/19/3.755400e−003 2/19/1.001440e−002
BOX 3 2/42/1.251800e−002 2/42/1.126620e−002 2/19/7.510800e−003 2/19/8.762600e−003
SING 4 20/280/2.503600e−002 18/269/2.503600e−002 2/19/6.259000e−003 2/19/7.510800e−003
WOOD 4 19/271/2.628780e−002 20/289/2.753960e−002 2/19/6.259000e−003 2/19/6.259000e−003
KOWOSB 4 21/295/3.505040e−002 23/324/3.630220e−002 83/1,077/1.314390e−001 104/1,345/1.664894e−001
BD 4 17/244/3.505040e−002 19/276/3.880580e−002 2/19/7.510800e−003 2/19/1.001440e−002
OSB1 5 2/42/2.128060e−002 2/42/1.877700e−002 2/19/7.510800e−003 2/19/1.001440e−002
BIGGS 6 25/322/4.506480e−002 7/108/2.253240e−002 15/330/4.381300e−002 21/287/4.130940e−002
OSB2 11 3/56/6.259000e−002 3/56/6.259000e−002 3/33/1.877700e−002 3/33/2.002880e−002
WATSON 20 31/457/3.880580e−001 29/412/3.555112e−001 2/19/2.002880e−002 2/19/2.253240e−002
ROSEX 100 229/3,704/1.268073e+000 276/4,359/1.512174e+000 2/19/1.126620e−002 2/19/1.251800e−002
SINGX 400 65/922/1.174939e+001 155/2,375/2.844465e+001 2/19/2.065470e−001 2/19/2.115542e−001
PEN1 400 2/47/7.247922e−001 2/47/7.310512e−001 2/19/1.940290e−001 2/19/1.927772e−001
PEN2 200 2/25/6.884900e−002 2/25/6.634540e−002 2/19/6.008640e−002 2/19/6.384180e−002
VARDIM 100 2/47/2.879140e−002 2/47/2.879140e−002 2/19/1.001440e−002 2/19/8.762600e−003
TRIG 500 9/138/1.627340e+002 9/144/1.671604e+002 8/146/1.700345e+002 50/876/1.039274e+003
BV 500 2/19/3.492522e−001 2/19/3.492522e−001 2/19/3.480004e−001 2/19/3.517558e−001
IE 500 6/71/7.711088e+000 6/71/7.706081e+000 6/71/7.722354e+000 6/71/7.772426e+000
TRID 500 53/760/1.622333e+001 50/727/1.501159e+001 564/7,325/1.690631e+002 564/7,325/1.692333e+002
BAND 500 12/275/5.551733e+000 12/238/4.696754e+000 2/19/4.781876e−001 2/19/4.431372e−001
LIN 500 2/19/4.719286e−001 2/19/4.744322e−001 2/19/4.806912e−001 2/19/4.719286e−001
LIN1 500 3/32/9.363464e−001 3/32/9.388500e−001 3/31/9.050514e−001 3/31/9.025478e−001
LIN0 500 3/32/1.165426e+000 3/32/1.161670e+000 3/31/1.119109e+000 3/31/1.130375e+000