Journal of Applied Mathematics / 2013 / Article / Tab 1

Research Article

A New Family of Iterative Methods Based on an Exponential Model for Solving Nonlinear Equations

Table 1

Comparison of various third-order methods and Newton’s method.

IT NFE Time

 NM 5 10 0 0.062577
 WF 3 9 0 0.018731
 PP 4 12 0 0.044520
 CHM 4 12 0 0.040102
 HM 3 9 0 0.019876
 LM1 4 12 0 0.029137
 LM2 3 9 0 0.022242
 LM3 3 9 0 0.023550
 LM4 3 9 0 0.019227
 LM5 3 9 0 0.020131
 NM 5 10 0 0.057231
 WF 4 12 0 0.039384
 PP 4 12 0 0.044239
 CHM 4 12 0 0.042782
 HM 3 9 0 0.017733
 LM1 4 12 0 0.032638
 LM2 4 12 0 0.037830
 LM3 4 12 0 0.034087
 LM4 4 12 0 0.038399
 LM5 4 12 0 0.035809
 NM 4 8 0 0.035702
 WF 3 9 0 0.019699
 PP 3 9 0 0.021596
 CHM 3 9 0 0.023312
 HM 3 9 0 0.017431
 LM1 3 9 0 0.016351
 LM2 3 9 0 0.017242
 LM3 3 9 0 0.018978
 LM4 3 9 0 0.016178
 LM5 3 9 0 0.016795
 NM 4 8 0 0.044392
 WF 3 9 0 0.023132
 PP 3 9 0 0.024293
 CHM 3 9 0 0.026689
 HM 3 9 0 0.022199
 LM1 3 9 0 0.024120
 LM2 3 9 0.021035
 LM3 3 9 0 0.021310
 LM4 3 9 0 0.020886
 LM5 3 9 0.021592
 NM 7 14 0.085178
 WF 4 12 0.030341
 PP 5 15 0.063971
 CHM 5 15 0.053064
 HM 5 15 0.055315
 LM1 5 15 0.041370
 LM2 4 12 0.026722
 LM3 3 9 0.019476
 LM4 4 12 0.030513
 LM5 4 12 0.031575
 NM 6 12 0.071738
 WF 4 12 0.039948
 PP 4 12 0.056046
 CHM 4 12 0.036458
 HM 4 12 0.072238
 LM1 4 12 0.033751
 LM2 4 12 0.032997
 LM3 4 12 0.036425
 LM4 4 12 0.034137
 LM5 4 12 0.035087
 NM 6 12 0 0.071353
 WF 4 12 0 0.034140
 PP 4 12 0 0.042598
 CHM 4 12 0 0.036365
 HM 4 12 0 0.038080
 LM1 3 9 0 0.018372
 LM2 4 12 0 0.035562
 LM3 4 12 0 0.036985
 LM4 4 12 0 0.035463
 LM5 4 12 0 0.033362
 NM 7 14 0 2.151288
 WF 5 15 0 0.054803
 PP 5 15 0 0.063380
 CHM 5 15 0 0.061753
 HM 4 12 0 0.046608
 LM1 5 15 0.050909
 LM2 5 15 0 0.048688
 LM3 10 30 0 0.111640
 LM4 4 12 0 0.040109
 LM5 5 15 0 0.043482
 NM 5 10 0 0.050123
 WF 3 9 0 0.023397
 PP 4 12 0 0.038373
 CHM 4 12 0 0.037498
 HM 4 12 0 0.035701
 LM1 4 12 0.028362
 LM2 4 12 0 0.028666
 LM3 6 18 0 0.053924
 LM4 4 12 0 0.028247
 LM5 4 12 0 0.029150
 NM 4 8 0 0.039328
 WF 2 6 0.003092
 PP 3 9 0 0.020461
 CHM 3 9 0 0.019378
 HM 3 9 0 0.018186
 LM1 3 9 0 0.018199
 LM2 3 9 0.017732
 LM3 3 9 0 0.013523
 LM4 3 9 0 0.013782
 LM5 3 9 0.016581