Netonverfahlen zur Nullstellensuche
Author: Prof. Dr. Dörte Haftendorn
Date: 206+15 Juli 2013

a

Newton-Verfahren

Ha 2006,2013

f(x) = -3 * x * (x^(2) - 1) - 0.5
a = 0.68 (slider from -5 to 5, step 0.01)
A: (a, f(a))
A': (a, 0)
b = Tangent(A, f)
B = Intersect(b, xAxis)
C: (x(B), f(x(B)))
c = Tangent(C, f)
D = Intersect(c, xAxis)
E: (x(D), f(x(D)))
d = Tangent(E, f)
F = Intersect(d, xAxis)
e = Segment(A', A)
g = Segment(A, B)
h = Segment(B, C)
i = Segment(C, D)
j = Segment(D, E)
k = Segment(E, F)
li: {a, x(B), x(D), x(F)}
Text5: "" + li + ""
Text6: "f(x)=" + f + ""