Abstract and Applied Analysis

Research Article

Sufficient Descent Conjugate Gradient Methods for Solving Convex Constrained Nonlinear Monotone Equations

Table 1

Numerical results for Problem 10.
Init Method
Iter/Nf/CPU Iter/Nf/CPU Iter/Nf/CPU Iter/Nf/CPU
CGD_XZ 10/26/0.036 10/26/0.052 10/26/0.052 10/26/0.071
Method 113/38/0.026 13/38/0.038 13/38/0.063 13/38/0.089
Method 215/32/0.024 19/38/0.047 19/38/0.073 31/74/0.179
Method 310/22/0.017 10/22/0.023 10/22/0.039 10/22/0.052
Method 413/25/0.022 13/25/0.028 13/25/0.048 13/25/0.061
Method 513/25/0.019 13/25/0.028 13/25/0.058 13/25/0.063
Method 619/33/0.030 19/34/0.040 19/34/0.062 29/67/0.162
CGD_XZ 5/10/0.007 5/10/0.012 5/10/0.020 5/10/0.027
Method 17/19/0.011 7/19/0.017 7/19/0.029 7/19/0.039
Method 25/10/0.006 5/10/0.010 7/14/0.022 7/14/0.035
Method 34/5/0.004 4/5/0.006 4/5/0.011 4/5/0.016
Method 45/6/0.006 5/6/0.008 5/6/0.014 5/6/0.020
Method 55/6 /0.005 5/6/0.008 5/6/0.013 5/6/0.020
Method 65/6/0.005 5/6/0.009 6/8/0.017 6/8/0.023
CGD_XZ 4/8/0.006 4/8/0.010 4/8/0.016 4/8/0.021
Method 17/18/0.010 7/18/0.015 7/18/0.029 7/18/0.037
Method 24/7/0.005 4/7/0.008 4/7/0.013 4/7/0.018
Method 33/4/0.003 3/4/0.005 3/4/0.009 3/4/0.012
Method 44/5/0.005 4/5/0.007 4/5/0.011 4/5/0.015
Method 54/5/0.005 4/5/0.006 4/5/0.012 4/5/0.015
Method 64/5/0.004 4/5/0.007 4/5/0.011 4/5/0.014
CGD_XZ 15/47/0.027 19/60/0.055 17/51/0.080 21/76/0.141
Method 114/47/0.025 17/59/0.048 17/58/0.077 21/75/0.137
Method 214/28/0.016 14/28/0.026 14/28/0.047 14/28/0.064
Method 318/28/0.022 18/28/0.031 18/28/0.053 18/28/0.076
Method 414/21/0.017 14/21/0.023 14/21/0.043 14/21/0.056
Method 510/15/0.012 10/15/0.017 10/15/0.028 10/15/0.040
Method 621/33/0.025 21/33/0.038 21/33/0.060 21/33/0.085
CGD_XZ 16/41/0.027 24/65/0.066 19/49/0.084 19/51/0.118
Method 117/49/0.029 17/55/0.044 19/60/0.084 18/58/0.111
Method 213/26/0.017 13/26/0.026 13/26/0.045 13/26/0.060
Method 323/35/0.028 23/35/0.040 23/35/0.067 23/35/0.096
Method 422/34/0.025 22/34/0.040 22/34/0.068 22/34/0.093
Method 521/30/0.023 21/30/0.036 21/30/0.060 21/30/0.082
Method 625/41/0.033 24/40/0.046 24/40/0.070 24/40/0.095
CGD_XZ 16/41/0.027 23/56/0.060 18/47/0.073 19/51/0.112
Method 116/51/0.027 15/47/0.038 17/54/0.075 17/54/0.101
Method 213/26/0.015 13/26/0.026 13/26/0.043 13/26/0.058
Method 323/35/0.026 23/35/0.040 23/35/0.067 23/35/0.092
Method 422/34/0.025 22/34/0.042 22/34/0.067 22/34/0.088
Method 521/30/0.024 21/30/0.035 21/30/0.060 21/30/0.085
Method 625/41/0.029 24/40/0.042 24/40/0.072 24/40/0.097