A comparison of Picard–S hybrid with other iterative processes
| Step | Picard–S hybrid | Picard–Ishikawa hybrid | Picard–Mann hybrid | Picard–Krasnoselskii hybrid | S-iteration |
|---|---|---|---|---|---|
| 0 | 5.0000000000000 | 5.0000000000000 | 5.000000000000 | 5.000000000000 | 5.000000000000 |
| 1 | 2.053665985829 | 2.053665985829 | 2.251284354073 | 2.251284354073 | 2.330713309124 |
| 2 | 2.001174310362 | 2.001174310362 | 2.024068969098 | 2.024068969098 | 2.042698929425 |
| 3 | 2.000024999687 | 2.000024999687 | 2.002336639386 | 2.002336639386 | 2.005602850705 |
| 4 | 2.000000433332 | 2.000000549760 | 2.000227141158 | 2.000227141158 | 2.000738954904 |
| 5 | 2.000000009450 | 2.000000012089 | 2.000022082864 | 2.000022082864 | 2.000097495596 |
| 6 | 2.000000000207 | 2.000000000265 | 2.000002146942 | 2.000002146942 | 2.000012863908 |
| 7 | 2.000000000000 | 2.000000000005 | 2.000000208730 | 2.000000208730 | 2.000001697319 |
| 8 | 2.000000000000 | 2.000000020293 | 2.000000020293 | 2.000000223951 | |
| 9 | 2.000000001973 | 2.000000001973 | 2.000000029549 | ||
| 10 | 2.000000000191 | 2.000000000191 | 2.000000003898 | ||
| 11 | 2.000000000018 | 2.000000000018 | 2.000000000514 | ||
| 12 | 2.000000000002 | 2.000000000002 | 2.000000000067 | ||
| 13 | 2.000000000000 | 2.000000000000 | 2.000000000008 | ||
| 14 | 2.000000000000 |
| Step | Picard–S hybrid | Picard–Ishikawa hybrid | Picard–Mann hybrid | Picard–Krasnoselskii hybrid | S-iteration |
|---|---|---|---|---|---|
| 0 | 5.0000000000000 | 5.0000000000000 | 5.000000000000 | 5.000000000000 | 5.000000000000 |
| 1 | 2.053665985829 | 2.053665985829 | 2.251284354073 | 2.251284354073 | 2.330713309124 |
| 2 | 2.001174310362 | 2.001174310362 | 2.024068969098 | 2.024068969098 | 2.042698929425 |
| 3 | 2.000024999687 | 2.000024999687 | 2.002336639386 | 2.002336639386 | 2.005602850705 |
| 4 | 2.000000433332 | 2.000000549760 | 2.000227141158 | 2.000227141158 | 2.000738954904 |
| 5 | 2.000000009450 | 2.000000012089 | 2.000022082864 | 2.000022082864 | 2.000097495596 |
| 6 | 2.000000000207 | 2.000000000265 | 2.000002146942 | 2.000002146942 | 2.000012863908 |
| 7 | 2.000000000000 | 2.000000000005 | 2.000000208730 | 2.000000208730 | 2.000001697319 |
| 8 | 2.000000000000 | 2.000000020293 | 2.000000020293 | 2.000000223951 | |
| 9 | 2.000000001973 | 2.000000001973 | 2.000000029549 | ||
| 10 | 2.000000000191 | 2.000000000191 | 2.000000003898 | ||
| 11 | 2.000000000018 | 2.000000000018 | 2.000000000514 | ||
| 12 | 2.000000000002 | 2.000000000002 | 2.000000000067 | ||
| 13 | 2.000000000000 | 2.000000000000 | 2.000000000008 | ||
| 14 | 2.000000000000 |
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