Research Article

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

Table 3

Numerical results for Problem 12.

Init Method
Iter/Nf/CPU Iter/Nf/CPU Iter/Nf/CPU Iter/Nf/CPU

CGD_XZ 24/66/0.095 24/66/0.130 21/60/0.205 21/60/0.308
Method 114/34/0.037 15/38/0.070 15/46/0.146 17/56/0.250
Method 226/66/0.063 28/75/0.126 32/102/0.317 41/136/0.612
Method 330/49/0.060 30/49/0.099 30/49/0.191 30/49/0.278
Method 423/43/0.050 23/43/0.085 22/42/0.159 22/42/0.224
Method 524/44/0.051 23/43/0.083 22/42/0.160 22/42/0.222
Method 625/61/0.060 28/76/0.127 33/103/0.320 38/120/0.538

CGD_XZ 19/55/0.056 19/55/0.112 18/53/0.177 18/53/0.260
Method 116/40/0.041 18/54/0.090 13/33/0.112 14/41/0.189
Method 218/36/0.038 18/36/0.068 18/36/0.127 18/36/0.186
Method 319/37/0.040 19/37/0.070 18/36/0.130 18/36/0.188
Method 419/37/0.040 19/37/0.073 18/36/0.128 18/36/0.188
Method 519/37/0.042 19/37/0.072 18/36/0.127 18/36/0.193
Method 618/36/0.039 18/36/0.069 18/36/0.128 18/36/0.188

CGD_XZ 20/57/0.059 19/54/0.095 19/54/0.183 19/54/0.266
Method 115/43/0.041 12/28/0.050 13/34/0.111 18/55/0.251
Method 219/37/0.040 19/37/0.068 20/39/0.141 20/39/0.202
Method 319/36/0.039 19/36/0.068 19/36/0.130 19/36/0.195
Method 421/40/0.046 21/40/0.081 21/40/0.147 21/40/0.213
Method 521/40/0.046 21/40/0.081 21/40/0.148 21/40/0.214
Method 619/37/0.041 19/37/0.073 18/36/0.128 18/36/0.186

CGD_XZ 19/54/0.054 19/54/0.098 19/54/0.181 19/54/0.263
Method 112/28/0.029 12/29/0.054 16/51/0.163 14/36/0.175
Method 219/37/0.041 19/37/0.072 20/39/0.142 20/39/0.205
Method 319/36/0.041 19/36/0.077 19/36/0.134 19/36/0.190
Method 420/38/0.043 20/38/0.076 20/38/0.141 20/38/0.207
Method 520/38/0.043 20/38/0.075 20/38/0.141 20/38/0.204
Method 619/37/0.040 19/37/0.068 18/36/0.128 18/36/0.188

CGD_XZ 20/57/0.058 20/57/0.101 20/57/0.190 20/57/0.273
Method 117/40/0.040 16/49/0.080 12/28/0.097 12/28/0.141
Method 219/37/0.040 19/37/0.072 19/37/0.138 20/39/0.211
Method 320/38/0.042 20/38/0.074 20/38/0.143 20/38/0.204
Method 421/40/0.046 21/40/0.075 21/40/0.149 21/40/0.212
Method 521/40/0.049 21/40/0.077 21/40/0.149 21/40/0.212
Method 620/39/0.043 20/39/0.076 20/39/0.142 19/38/0.196

CGD_XZ 19/54/0.052 19/54/0.094 19/54/0.182 19/54/0.264
Method 115/40/0.038 12/28/0.052 12/30/0.097 17/51/0.233
Method 219/37/0.038 19/37/0.068 19/37/0.136 20/39/0.203
Method 319/36/0.040 19/36/0.075 19/36/0.133 19/36/0.197
Method 420/38/0.043 20/38/0.076 20/38/0.140 20/38/0.202
Method 520/38/0.042 20/38/0.075 20/38/0.142 20/38/0.206
Method 619/37/0.040 19/37/0.072 19/37/0.133 18/36/0.185