牛顿法映射图在复分析中的应用

GeoGebra 命令及参数

1. Element(zfnlist, n_f) → F
2. Derivative(g) → g'
3. Sequence(t, t, t_0, t_2, dt) → t_*
4. Element(xfnlist, n_γ) → x_γ
5. Element(yfnlist, n_γ) → y_γ
6. Zip(x_γ(B) + (y_γ(B) * ί) + z_#, B, t_*) → z_*
7. Sequence(t, t, t_0 + dt, t_2 + dt, dt) → t_1
8. Zip(x_γ(B) + (y_γ(B) * ί) + z_#, B, t_1) → z_1
9. Zip(t - u, t, z_1, u, z_*) → dz_*
10. If(Align ≟ 1, z_# - fz_#, 0) → align
11. Sequence(((Element[fz_*, k] - align) * Element[dz_*, k]), k, 1, n) → fdz_*
12. Sequence(Sum[fdz_*, k], k, 1, n) → SUMfdz_*
13. Zip((x(B), y(B), ht), B, fz_*) → fpoint_*
14. Zip((x(Z) + x(align), y(Z) + y(align), ht), Z, SUMfdz_*) → ESum
15. Sequence(Element[dz_*, k], k, 1, n) → dz_n
16. CurveCartesian(x_γ(t) + x(z_#), y_γ(t) + y(z_#), t, t_0, t_2) → γ
17. Textfield(x_γ) → inputxt
18. Textfield(y_γ) → inputyt
19. Vector(z_#, Pfz_#) → u
20. Textfield(F) → InputFz
21. Zip(Vector[A, B], A, z_*, B, fpoint_*) → fvec_*
22. Integral(f) → Int_f
23. Element(z_*, 1) → z_0
24. Element(z_*, n + 1) → z_2
25. Point(γ) → Aγ
26. Locus(FAγ3, Aγ) → fLoc
27. Zip(Vector[A, B], A, z_*, B, ESum) → ESumV_*
28. CurveCartesian(t + x(align), y(align), ht, t, -5, 5) → Xh
29. CurveCartesian(x(align), t + y(align), ht, t, -5, 5) → Yh
30. IterationList(Newton(z), z, {z0}, n_N) → Newtlist
31. Zip((x(A), y(A), ht), A, fnewtlist) → ptfnewtlist
32. Zip(Vector[A, B], A, Newtlist, B, ptfnewtlist) → vecnewtlist
33. Iteration(Newton(z), z, {z0}, n_N) → Newtest