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Table 2 Comparison of the iteration processes defined by (1

From: Some Newton-like methods with sharper error estimates for solving operator equations in Banach spaces

N

Newton method

SIP of Newton-like

n

Newton method

SIP of Newton-like

1

1

1

7

0.578358062815874

0.577513680188369

 

1

1

 

0.578358062815874

0.577513680188369

2

0.666666666666667

0.652777777777778

8

0.577775705070475

0.577399387702240

 

0.666666666666667

0.652777777777778

 

0.577775705070475

0.577399387702240

3

0.611111111111111

0.598061698654261

9

0.577529989052300

0.577365035376011

 

0.611111111111111

0.598061698654261

 

0.577529989052300

0.577365035376011

4

0.591049382716049

0.583424704288997

10

0.577426211591592

0.577354708436348

 

0.591049382716049

0.583424704288997

 

0.577426211591592

0.577354708436348

5

0.583046362978205

0.579163300958378

11

0.577382363341750

0.577351603803299

 

0.583046362978205

0.579163300958378

 

0.577382363341750

0.577351603803299

6

0.579741498953815

0.577894163483913

12

0.577363833259364

0.577350670428927

 

0.579741498953815

0.577894163483913

 

0.577363833259364

0.577350670428927