A Triparametric Family of Optimal Fourth-Order Multiple-Root Finders and Their Dynamics

Table 2

Stability check from of strange fixed points for special -values with .

							Number of
		: t
1							4
		: r	: r	: r
							3
		: r	: r
							3
		: r	: r
		1					5
		: r	: r	: r
		1					5
		: r	: r	: r
							4
		: r	: r
2	−2						5
		: r	: r	: r
	−4						4
		: p	11/3: r
						−0.424696	8
		: r	6.04594: r	4.98848: r	6.04594: r	834.411: r

: t implies that is attractive, parabolic, and repulsive, if , , and , respectively.