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Theory and Modern Applications

Table 6 Comparison of optimal 3rd order methods

From: On iterative techniques for estimating all roots of nonlinear equation and its system with application in differential equation

 

\(\mathbf{F}_{\mathbf{5}}\)

\(\mathbf{F}_{6}\)

\(\mathbf{F}_{\mathbf{5}}\)

\(\mathbf{F}_{6}\)

\(\mathbf{F}_{\mathbf{5}}\)

\(\mathbf{F}_{6}\)

Number of iterations

Method

m = 50

m = 75

m = 100

QQ1

4

4

4

4

4

4

EE1

5

5

5

5

5

5

EE2

4

4

4

4

4

4

EE3

4

4

4

4

4

4

CPU Time

Method

m = 50

m = 75

m = 100

QQ1

0.136

0.234

0.253

0.250

0.406

0.501

EE1

0.125

0.140

0.234

0.250

0.406

0.407

EE2

0.344

0.109

0.172

0.219

0.109

0.391

EE3

0.109

0.157

0.265

0.235

0.532

0.500