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zUzyDit|rtDI-K#pd%OP+?H*DZ3T19&b98cLVQmU!Ze(v_Y6>wkG?(w^1FIP_H!%t? zQg3f`ATl5@AW{l1Q)zl-ATcvFm$K*sH-A{3L;%S@GA|jJ7#SEgGctkHjFR*v|1Emj)O=>2ze60=6?txdE`JO`&^u<3fkSB?SXKaJ{&aAdOi~1~ r{XuzwA?YoMophK10H>fY#|mX`WS4yD0~if6I5aXbGzujpMNdWw%U6=v diff --git a/Schenk_Brandenberger_S4_Aufg1.py b/Schenk_Brandenberger_S4_Aufg1.py index e69de29..cc9cee3 100644 --- a/Schenk_Brandenberger_S4_Aufg1.py +++ b/Schenk_Brandenberger_S4_Aufg1.py @@ -0,0 +1,40 @@ +import math +import time + +import numpy as np +import matplotlib.pyplot as plt + +def F(x): + return (230 * math.pow(x, 4) + 18 * math.pow(x, 3) + 9 * math.pow(x, 2) - 9) / 221 + +def FDiff(x): + return (920 * math.pow(x, 3) + 54 * pow(x, 2) + 18 * x) / 221 + + +def calcAlpha(start, stop, FDiff): + x = np.arange(start, stop + abs(((start-stop)/100)), abs(((start-stop)/100))) + y = [FDiff(x_value) for x_value in x] + ymax = max(y) + return ymax + +def iteration(x0, startValue, endValue, function, functionDiff, maxFehler): + alpha = calcAlpha(startValue, endValue, functionDiff) + print("alpha", alpha) + x = [x0] + n = 0 + while(True): + time.sleep(1) + n = n + 1 + x.append(function(x[n-1])) + print("n:", n, "x:", x[n]) + fehlerabschatzung = abs(x[n] - x[n - 1]) # math.pow(alpha, n) / (1 - alpha)) * + print("fehlerabschatzung", fehlerabschatzung) + if(fehlerabschatzung < maxFehler): + print("n: ", n) + return x[n] + + +if __name__ == '__main__': + result = iteration(x0=-0.1, startValue=-1, endValue=0, function=F, functionDiff=FDiff, maxFehler=math.pow(10, -6)) + #result = iteration(x0=-1, startValue=0, endValue=1, function=F, functionDiff=FDiff, maxFehler=math.pow(10, -6)) + print(result) \ No newline at end of file