Research Article

A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation

Table 2

Comparison of various iterative methods.

, (SS-14) (SGG-16) (SSS-16) (FNMS-16)

.1 .1 .1
.1 .6 .1 .5
.6 .6 .7 .6
.1 .3 .3
.4 .1 .2 .1
.1 .3 .2 .5
.95 .95 .64 .3
.1 .1 .3 .5
.2 .5 .1 .4
.2 .1 .3 .2
.8 .8 .2 .9
.5 .6 .3 .9
.8 .3 .4 .6
.2 .1 .1
.2 .2 .2 .1
.2 .6 .1 .6
.3 .8 .2
.8 .25 .8 .1
.4 .1 .3 .3
.1 .7 .9 .1
.92 .9 2.51
.4 .1 .6
.1 .6 0
.1 .1 .8 .7
.2 .5 .9 .4
.4 .8 .1 .6
.2 .4 .2 .1
.4 .4 .7 .3
.5 .4 .2 .8
.6 .9 .3 .1
.8 .1 .7 .1
.1 .7 .9 .1
.7 .53 .79 0.7
.9 .4 .2 .2
.7 .1 .5 0.3
.1 .2 .1 .8
.5 .3 .6 .1
.3 .6 .5 .3
1 .9 1 .8
1 .6 D .9
D .5 D .4
.1 .97 .1 1.0
16856.81 .2 16856.81 .8
183.46 .3 183.46 .1
.2 .5 .2 .6
.2 .1 .2 .7
.6 .1 .6 .1

D stands for divergence.