Table 1 This table shows the values of the sequence \(\pmb{\{x_{n}\}_{n\in\Bbb{N}}}\) on 30th iteration steps (initial value \(\pmb{x_{0}=1}\) )
n | \(\boldsymbol{x_{n}}\) | \(\boldsymbol{u_{n}}\) | \(\boldsymbol{y_{n}}\) |
|---|---|---|---|
1 | 1.000000000000000e+000 | 5.000000000000000e−001 | 2.500000000000000e−001 |
2 | 6.250000000000000e−001 | 3.125000000000000e−001 | 1.562500000000000e−001 |
3 | 3.906250000000000e−001 | 1.953125000000000e−001 | 9.765625000000000e−002 |
4 | 2.441406250000000e−001 | 1.220703125000000e−001 | 6.103515625000000e−002 |
5 | 1.525878906250000e−001 | 7.629394531250000e−002 | 3.814697265625000e−002 |
6 | 9.536743164062500e−002 | 4.768371582031250e−002 | 2.384185791015625e−002 |
7 | 5.960464477539063e−002 | 2.980232238769531e−002 | 1.490116119384766e−002 |
8 | 3.725290298461914e−002 | 1.862645149230957e−002 | 9.313225746154785e−003 |
9 | 2.328306436538696e−002 | 1.164153218269348e−002 | 5.820766091346741e−003 |
10 | 1.455191522836685e−002 | 7.275957614183426e−003 | 3.637978807091713e−003 |
11 | 9.094947017729282e−003 | 4.547473508864641e−003 | 2.273736754432321e−003 |
12 | 5.684341886080802e−003 | 2.842170943040401e−003 | 1.421085471520200e−003 |
13 | 3.552713678800501e−003 | 1.776356839400251e−003 | 8.881784197001252e−004 |
14 | 2.220446049250313e−003 | 1.110223024625157e−003 | 5.551115123125783e−004 |
15 | 1.387778780781446e−003 | 6.938893903907228e−004 | 3.469446951953614e−004 |
16 | 8.673617379884036e−004 | 4.336808689942018e−004 | 2.168404344971009e−004 |
17 | 5.421010862427522e−004 | 2.710505431213761e−004 | 1.355252715606881e−004 |
18 | 3.388131789017201e−004 | 1.694065894508601e−004 | 8.470329472543003e−005 |
19 | 2.117582368135751e−004 | 1.058791184067875e−004 | 5.293955920339377e−005 |
20 | 1.323488980084844e−004 | 6.617444900424221e−005 | 3.308722450212111e−005 |
21 | 8.271806125530277e−005 | 4.135903062765138e−005 | 2.067951531382569e−005 |
22 | 5.169878828456423e−005 | 2.584939414228212e−005 | 1.292469707114106e−005 |
23 | 3.231174267785264e−005 | 1.615587133892632e−005 | 8.077935669463161e−006 |
24 | 2.019483917365790e−005 | 1.009741958682895e−005 | 5.048709793414475e−006 |
25 | 1.262177448353619e−005 | 6.310887241768094e−006 | 3.155443620884047e−006 |
26 | 7.888609052210119e−006 | 3.944304526105059e−006 | 1.972152263052530e−006 |
27 | 4.930380657631324e−006 | 2.465190328815662e−006 | 1.232595164407831e−006 |
28 | 3.081487911019577e−006 | 1.540743955509789e−006 | 7.703719777548944e−007 |
29 | 1.925929944387236e−006 | 9.629649721936179e−007 | 4.814824860968089e−007 |
30 | 1.203706215242023e−006 | 6.018531076210113e−007 | 3.009265538105056e−007 |