International Journal of Mathematics and Mathematical Sciences / 2012 / Article / Tab 3

Research Article

On a 4-Point Sixteenth-Order King Family of Iterative Methods for Solving Nonlinear Equations

Table 3

Comparison of optimal 4-point sixteenth-order I.F.s.

function16th FK16th G K 1 16th G K 2
| π‘₯ 3 βˆ’ π‘₯ βˆ— | COC | π‘₯ 3 βˆ’ π‘₯ βˆ— | COC | π‘₯ 3 βˆ’ π‘₯ βˆ— | COC

𝑓 _ 1 , π‘₯ _ 0 = 1 0.137e-36215.9890.353e-58115.9810.103e-52215.998
𝑓 _ 2 , π‘₯ _ 0 = 1 . 3 0.898e-67016.0000.994e-78216.0000.723e-81115.987
𝑓 _ 3 , π‘₯ _ 0 = 2 . 5 0.479e-20015.928failfail0.819e-31615.978
𝑓 _ 4 , π‘₯ _ 0 = 0 . 2 5 0.492e-315516.0000.241e-245516.0000.516e-207116.000
𝑓 _ 5 , π‘₯ _ 0 = 2 . 5 0.142e-81016.0000.164e-114715.9930.452e-102016.000
𝑓 _ 6 , π‘₯ _ 0 = 1 / 6 0.224e-170216.0000.172e-100415.9920.782e-89216.000
𝑓 _ 7 , π‘₯ _ 0 = 3 . 5 0.927e-446416.0000.241e-414416.0000.136e-376316.000

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