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HM1_Aufgabenserie5
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Schenk_Brandenberger_S5_Aufg1.py
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import math
import numpy as np
import matplotlib.pyplot as plt
def f(x):
return math.pow(math.e, math.pow(x, 2)) + math.pow(x, -3) - 10
def f_diff(x):
return 2 * x * math.pow(math.pow(math.e, x), 2) - 3 * math.pow(x, -4)
def newtonStep(x0, function, function_diff):
return x0 - (function(x0)) / (function_diff(x0))
def simpleNewtonStep(x0, function, function_diff_x0):
return x0 - ((function(x0)) / (function_diff_x0))
def newton(x0, iterations, function, function_diff):
print("Newton Verfahren:")
x = []
x.append(x0)
print("x" + str(0) + ":", str(x[0]))
for i in range(iterations):
x.append(newtonStep(x0=x[i], function=function, function_diff=function_diff))
print("x" + str(i + 1) + ":", str(x[i + 1]))
if __name__ == '__main__':
newton(x0=2, iterations=4, function=f, function_diff=f_diff)
simpleNewton(x0=0.5, iterations=4, function=f, function_diff=f_diff)