Higher-Order Root-Finding Algorithms and Their Basins of Attraction

Table 1

Comparison of NM, HM, TM, MHM, and Algorithms 1–3.

Method
,
NM	54			2
HM	58			3
TM	27			4
MHM	22			5
Algorithm 1	6			9
Algorithm 2	5			9
Algorithm 3	5			9
,
NM	13			2
HM	9			3
TM	7			4
MHM	7			5
Algorithm 1	2			9
Algorithm 2	3			9
Algorithm 3	3			9
,
NM	9			2
HM	5			3
TM	5			4
MHM	5			5
Algorithm 1	3			9
Algorithm 2	4			9
Algorithm 3	4			9
,
NM	8			2
HM	4			3
TM	4			4
MHM	41			5
Algorithm 1	3			9
Algorithm 2	3			9
Algorithm 3	2			9
,
NM	7			2
HM	4			3
TM	4			4
MHM	3			5
Algorithm 1	2			9
Algorithm 2	3			9
Algorithm 3	3			9