Geometrically Constructed Families of Newton's Method for Unconstrained Optimization and Nonlinear Equations

Table 2

Comparison table for nonlinear equations.

Examples	NM	Method (2.5)	Method (2.7)
(1)	9	5	5
	Fails	5	5
(2)	Converges to undesired root (−5𝜋)	7	5
	Converges to undesired root (−6𝜋)	7	5
(3)	Converges to undesired root (9.424696922302246)	6	4
	3	5	3
(4)	Divergent	2	2
	11	11	11
	Fails	1	1
(5)	14	7	7
	6	7	6