Newton's
p0 : 1
Secant
p0 : 0
p1 : 1
Fixed Point
p0 : -1
g_a(p) = p = (-3x^3 + 2x^2 + 2e^x + 1)/5
g_b(p) = p = sqrt((x^4 - 2)/3)
g_c(p) = p = sqrt(3x - e^x - 2)
i Bisection Newton's Secant Fixed Point
1 0.000000 0.657399 0.390101
2 0.500000 0.484328 0.436927
3 0.250000 0.459865 0.459927
4 0.375000 0.459652 0.459650
5 0.437500 0.459652
6 0.468750
7 0.453125
8 0.460938
9 0.457031
10 0.458984
11 0.459961
12 0.459473
13 0.459717
14 0.459595
15 0.459656
i Bisection Newton's Secant Fixed Point
1 1.000000 0.800000 0.500000
2 0.500000 0.751869 0.686275
3 0.750000 0.749375 0.769025
4 0.625000 0.749368 0.748059
5 0.687500 0.749342
6 0.718750 0.749368
7 0.734375
8 0.742188
9 0.746094
10 0.748047
11 0.749023
12 0.749512
13 0.749268
14 0.749390
15 0.749329
i Bisection Newton's Secant Fixed Point
1 0.000000 0.268941 0.268941
2 1.000000 0.257518 0.257171
3 0.500000 0.257530 0.257531
4 0.250000
5 0.375000
6 0.312500
7 0.281250
8 0.265625
9 0.257812
10 0.253906
11 0.255859
12 0.256836
13 0.257324
14 0.257568
15 0.257446
16 0.257507