Theory and Modern Applications
From: On q-BFGS algorithm for unconstrained optimization problems
Starting point | q-BFGS algorithm | ||||
---|---|---|---|---|---|
it | fe | ge | \(x^{*}\) | \(f(x^{*})\) | |
\((4 , 3)^{T}\) | 31 | 199 | 33 | \((1.047, 1.088)^{T}\) | 0.0112 |
\((-3, 1)^{T}\) | 13 | 98 | 16 | \((0.914, 0.852)^{T}\) | 0.013401 |
\((-1, 3)^{T}\) | 28 | 179 | 32 | \((1.016, 1.018)^{T}\) | 0.009 |
\((-1.5, 3.7)^{T}\) | 24 | 158 | 29 | \((0.879 , 0.753)^{T}\) | 0.007 |
\((-1 , 4)^{T}\) | 19 | 123 | 19 | \((0.967 , 0.939)^{T}\) | 2.39e − 03 |
\((1, -1)^{T}\) | 16 | 122 | 18 | \((1.037 , 1.066)^{T}\) | 0.010 |
\((-4, 2)^{T}\) | 23 | 151 | 27 | \((0.928 , 0.869)^{T}\) | 0.000 |
\((-1, -4)^{T}\) | 17 | 116 | 18 | \((0.830 , 0.691)^{T}\) | 0.015 |
\((-2, 2)^{T}\) | 16 | 113 | 19 | \((0.721 , 0.496)^{T}\) | 0.001 |
\((-5, 6)^{T}\) | 27 | 178 | 31 | \((0.908 , 0.823)^{T}\) | 0.006 |
\((-3, 6)^{T}\) | 32 | 199 | 36 | \((0.975 , 0.948)^{T}\) | 0.002 |
\((4, -5)^{T}\) | 18 | 125 | 21 | \((0.859 , 0.721)^{T}\) | 0.003 |
\((4, -7)^{T}\) | 20 | 142 | 22 | \((1.046 , 1.084)^{T}\) | 0.011 |
\((-5, -3)^{T}\) | 14 | 111 | 16 | \((0.949 , 0.897)^{T}\) | 0.005 |
\((4, -5.6)^{T}\) | 14 | 109 | 16 | \((0.976 , 0.959)^{T}\) | 0.004 |
\((-8, 2)^{T}\) | 3 | 41 | 4 | \((1.000 , 2.563)^{T}\) | 0.008 |
\((-5, 7)^{T}\) | 26 | 165 | 27 | \((0.991 , 0.964)^{T}\) | 0.006 |
\((-2, 6)^{T}\) | 33 | 199 | 37 | \((0.975 , 0.941)^{T}\) | 0.008 |
\((1, -5)^{T}\) | 19 | 152 | 20 | \((1.057 , 1.113)^{T}\) | 0.014 |
\((-3, -4)^{T}\) | 16 | 115 | 17 | \((0.933 , 0.873)^{T}\) | 0.000 |
\((8, 1)^{T}\) | 21 | 149 | 27 | \((0.723 , 0.499)^{T}\) | 0.000 |
\((3, -7)^{T}\) | 12 | 90 | 13 | \((0.885 , 0.789)^{T}\) | 0.006 |
\((4, -5)^{T}\) | 18 | 125 | 21 | \((0.859 , 0.721)^{T}\) | 0.003 |
\((-5, -2)^{T}\) | 17 | 117 | 18 | \((0.940 , 0.886)^{T}\) | 0.002 |
\((4, -6)^{T}\) | 16 | 119 | 19 | \((1.119 , 1.238)^{T}\) | 0.012 |
\((3, -4)^{T}\) | 12 | 96 | 13 | \((0.993 , 0.978)^{T}\) | 0.003 |
\((4, -4)^{T}\) | 15 | 108 | 16 | \((0.815 ,0.6813)^{T}\) | 0.011 |