Journal of Applied Mathematics / 2012 / Article / Tab 3

Research Article

On the Rate of Convergence of Kirk-Type Iterative Schemes

Table 3

Functions with multiple zeros.

Kirk-CR iterationKirk-SP iterationKirk-Noor iterationKirk-Mann iterationKirk-Ishikawa iteration
𝑛 𝑓 π‘₯ 𝑛 π‘₯ 𝑛 + 1 𝑓 π‘₯ 𝑛 π‘₯ 𝑛 + 1 𝑓 π‘₯ 𝑛 π‘₯ 𝑛 + 1 𝑓 π‘₯ 𝑛 π‘₯ 𝑛 + 1 𝑓 π‘₯ 𝑛 π‘₯ 𝑛 + 1

00.010.1297630.010.1814070.010.1942680.010.09010.01βˆ’0.04247
10.7573120.4196040.6700950.384790.6492050.4879410.8279180.5690451.0867430.695256
20.3368590.3821040.3784840.3819660.2622040.3632230.1857220.4020060.0928690.341163
30.3817950.3819660.3819660.3819660.4054850.3819130.3575960.3851390.4340660.381282
40.3819650.3819660.3819660.3819660.3820310.381960.3780540.3827210.3828120.381873
50.3819660.3819660.3819660.3819660.3819740.3819650.3810330.3821950.3820810.381946
60.3819660.3819660.3819660.3819660.3819680.3819660.3816830.3820470.3819910.38196
70.3819660.3819660.3819660.3819660.3819660.3819660.3818660.3819980.3819730.381964
80.3819660.3819660.3819660.3819660.3819660.3819660.3819260.381980.3819680.381965
90.3819660.3819660.3819660.3819660.3819660.3819660.3819490.3819720.3819670.381966
100.3819660.3819660.3819660.3819660.3819660.3819660.3819580.3819690.3819660.381966
110.3819660.3819660.3819660.3819660.3819660.3819660.3819620.3819680.3819660.381966
120.3819660.3819660.3819660.3819660.3819660.3819660.3819640.3819670.3819660.381966
130.3819660.3819660.3819660.3819660.3819660.3819660.3819650.3819660.3819660.381966
140.3819660.3819660.3819660.3819660.3819660.3819660.3819650.3819660.3819660.381966
150.3819660.3819660.3819660.3819660.3819660.3819660.3819660.3819660.3819660.381966

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