A New Family of Fourth-Order Optimal Iterative Schemes and Remark on Kung and Traub’s Conjecture

Table 1

The comparison of different iterative schemes on the error equations.

Algorithm				Error equation
(12)	–2	1	0
(13)	–2	2	0
(14)	0	0	1
(15)	0	0	0
(16)		0	0
(17)	–1/2	–1/4	3/4
(18)	–1	0	0
(19)	–2	0	0
(20)	–1	0	–1
(21)	2	1	4
(22)	–2	1	–1