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Table 4 Cases of Abbas iteration

From: A comparative study on the convergence rate of some iteration methods involving contractive mappings

Step

Abbas ( 3.17 )

Abbas ( 3.18 )

Abbas ( 3.19 )

Abbas ( 3.20 )

Abbas ( 3.21 )

Abbas ( 3.22 )

Abbas ( 3.23 )

Abbas ( 3.24 )

1

20.933947

23.074444

29.706456

30.294581

42.622758

43.000492

74.725586

74.829373

2

3.501533

3.915728

4.912771

5.052334

6.872931

6.975246

14.057893

14.097781

3

1.650123

1.789347

2.07514

2.127569

2.605814

2.644699

4.919453

4.938021

4

1.218545

1.278689

1.392374

1.417334

1.596596

1.615195

2.581994

2.592232

5

1.080705

1.109014

1.161005

1.174049

1.254442

1.264388

1.750749

1.757015

6

1.030883

1.044439

1.069469

1.076461

1.115609

1.121158

1.389425

1.39348

7

1.011982

1.018426

1.030642

1.034379

1.054109

1.057231

1.212285

1.214975

8

1.004673

1.007695

1.013649

1.015622

1.025684

1.02743

1.119022

1.120821

9

1.001827

1.003223

1.006106

1.007132

1.012273

1.013239

1.067815

1.069015

10

1.000715

1.001351

1.002737

1.003264

1.005884

1.006411

1.038999

1.039794

11

1.00028

1.000567

1.001228

1.001495

1.002825

1.00311

1.022548

1.02307

12

1.000109

1.000238

1.000551

1.000685

1.001357

1.00151

1.013078

1.013417

13

1.000043

1.0001

1.000247

1.000314

1.000653

1.000733

1.007599

1.007818

14

1.000017

1.000042

1.000111

1.000144

1.000314

1.000356

1.00442

1.00456

15

1.000007

1.000018

1.00005

1.000066

1.000151

1.000173

1.002572

1.002661

16

1.000003

1.000007

1.000022

1.00003

1.000073

1.000084

1.001498

1.001554

17

1.000001

1.000003

1.00001

1.000014

1.000035

1.000041

1.000872

1.000907

18

 

1.000001

1.000005

1.000006

1.000017

1.00002

1.000508

1.00053

19

 

1.000001

1.000002

1.000003

1.000008

1.00001

1.000296

1.00031

20

 

1

1.000001

1.000001

1.000004

1.000005

1.000172

1.000181

21

 

1

1

1.000001

1.000002

1.000002

1.0001

1.000106

22

 

1

1

1

1.000001

1.000001

1.000058

1.000062

23

 

1

1

1

1

1.000001

1.000034

1.000036

24

  

1

1

1

1

1.00002

1.000021

25

   

1

1

1

1.000012

1.000012

26

   

1

1

1

1.000007

1.000007

27

    

1

1

1.000004

1.000004

28

    

1

1

1.000002

1.000002

29

    

1

1

1.000001

1.000001

30

      

1.000001

1.000001

31

      

1

1

32

      

1

1

33

      

1

1

34

      

1

1

35

      

1

1

36

      

1

1

37

      

1

1