The Convergence of a Class of Parallel Newton-Type Iterative Methods

Table 1

Numerical results of Example 2.

Iterative method	Number of iterations	Results
		Method (2)	1	0.200000000000	0.375000000000	1.176470588235
2	0.243808087597		0.323805689748	1.183011463275
3	0.249955665119		0.317035707337	1.183012701892
4	0.249999999979		0.316987298131	1.183012701892
5	0.250000000000		0.316987298108	1.183012701892
Method (4) with (25)	1	0.217105263158	0.345588235294	1.184859154930
	2	0.249398039932	0.317688644132	1.183012708464
	3	0.249999999474	0.316987298719	1.183012701892
	4	0.250000000000	0.316987298108	1.183012701892
Method (4) with (26)	1	0.231729055258	0.346042471043	1.183941605839
	2	0.249920728625	0.317052319337	1.183012700566
	3	0.250000000000	0.316987298108	1.183012701892
Method (4) with (27)	1	0.234609565063	0.331231334248	1.182746284452
	2	0.249997316046	0.316989331975	1.183012701890
	3	0.250000000000	0.316987298108	1.183012701892
Newton method	8	0.250000000000	0.316987298108	1.183012701892