Research Article
On Some Efficient Techniques for Solving Systems of Nonlinear Equations
Table 2
Performance of methods.
| | Methods | | | | | CPUtime |
| | Problem 1 | | | | | | | | 7 | 3.0000 | 883.0 | 1.001245 | 0.205573 | | 7 | 3.0000 | 876.0 | 1.001255 | 0.192909 | | 7 | 3.0000 | 880.8 | 1.001248 | 0.203215 | | 7 | 3.0000 | 888.8 | 1.001237 | 0.218364 | | 7 | 5.0000 | 1468.8 | 1.000748 | 0.460909 | | 5 | 5.0000 | 1190.2 | 1.001353 | 0.176545 | | 5 | 5.0000 | 1174.4 | 1.001370 | 0.172728 | | 5 | 6.0000 | 1205.8 | 1.001487 | 0.166418 | | 5 | 6.0000 | 1186.4 | 1.001511 | 0.162545 | | Problem 2 | | | | | | | 6 | 3.0000 | 49.0 | 1.022674 | 0.052327 | | 6 | 3.0000 | 45.0 | 1.024714 | 0.050854 | | 7 | 3.0000 | 46.8 | 1.023752 | 0.051545 | | 7 | 3.0000 | 54.8 | 1.020250 | 0.052173 | | 7 | 3.0000 | 76.8 | 1.014408 | 0.102091 | | 5 | 5.0000 | 80.2 | 1.020271 | 0.052734 | | 5 | 5.0000 | 64.4 | 1.025306 | 0.050727 | | 5 | 6.0000 | 95.8 | 1.018879 | 0.053545 | | 5 | 6.0000 | 76.4 | 1.023730 | 0.051182 | | Problem 3 | | | | | | | 6 | 3.0000 | 1187.2 | 1.000926 | 0.489455 | | 6 | 3.0000 | 1072.0 | 1.001025 | 0.398545 | | 6 | 3.0000 | 1188.6 | 1.000925 | 0.540818 | | 6 | 3.0000 | 1203.6 | 1.000913 | 0.566636 | | 6 | 3.0000 | 2041.7 | 1.000538 | 1.023910 | | 5 | 5.0000 | 1537.9 | 1.001047 | 0.379364 | | 5 | 5.0000 | 1512.9 | 1.001064 | 0.376345 | | 4 | 6.0000 | 1567.3 | 1.001144 | 0.365864 | | 4 | 6.0000 | 1536.9 | 1.001167 | 0.364636 | | Problem 4 | | | | | | | 7 | 3.0000 | 535.2 | 1.002055 | 0.340364 | | 7 | 3.0000 | 439.2 | 1.002505 | 0.228364 | | 7 | 3.0000 | 681.6 | 1.001613 | 0.370091 | | 7 | 3.0000 | 761.6 | 1.001444 | 0.387273 | | 7 | 3.0000 | 913.6 | 1.001203 | 0.393000 | | 5 | 5.0000 | 780.0 | 1.002066 | 0.237091 | | 5 | 5.0000 | 776.0 | 1.002076 | 0.295000 | | 5 | 6.0000 | 938.4 | 1.001911 | 0.262727 | | 5 | 6.0000 | 920.0 | 1.001949 | 0.240543 | | Problem 5 | | | | | | | 6 | 3.0000 | 4606.9 | 1.000238 | 1.660450 | | 6 | 3.0000 | 4412.1 | 1.000249 | 1.618180 | | 6 | 3.0000 | 5293.3 | 1.000208 | 2.425090 | | 6 | 3.0000 | 5488.3 | 1.000200 | 2.437910 | | 6 | 3.0000 | 7802.1 | 1.000141 | 3.006550 | | 4 | 5.0000 | 6226.7 | 1.000259 | 1.515910 | | 4 | 5.0000 | 6538.7 | 1.000246 | 1.799640 | | 4 | 6.0000 | 6614.1 | 1.000271 | 1.435450 | | 4 | 6.0000 | 6902.7 | 1.000260 | 1.510730 | | Problem 6 | | | | | | | | 8 | 3.0000 | 6658.0 | 1.000165 | 15.81950 | | 8 | 3.0000 | 6403.0 | 1.000172 | 12.79912 | | 8 | 3.0000 | 7727.0 | 1.000142 | 18.29325 | | 8 | 3.0000 | 7982.0 | 1.000138 | 18.29750 | | 8 | 3.0000 | 11312.0 | 1.000097 | 28.52323 | | 6 | 5.0000 | 8932.0 | 1.000180 | 11.58340 | | 6 | 5.0000 | 9509.0 | 1.000169 | 13.87700 | | 6 | 6.0000 | 9439.0 | 1.000190 | 11.37760 | | 6 | 6.0000 | 9989.0 | 1.000179 | 12.69813 | | Problem 7 | | | | | | | 7 | 3.0000 | 4474.0 | 1.000246 | 0.697636 | | 7 | 3.0000 | 4014.0 | 1.000274 | 0.592818 | | 7 | 3.0000 | 7056.0 | 1.000156 | 0.882182 | | 7 | 3.0000 | 7496.0 | 1.000147 | 0.975636 | | 7 | 3.0000 | 8076.0 | 1.000136 | 0.978727 | | 5 | 5.0000 | 5806.0 | 1.000277 | 0.584010 | | 5 | 5.0000 | 7532.0 | 1.000214 | 0.753091 | | 5 | 6.0000 | 6682.0 | 1.000268 | 0.643909 | | 5 | 6.0000 | 8372.0 | 1.000214 | 0.779636 |
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