From 213f60594a68ab7e50554d8e42cb331cd2e734aa Mon Sep 17 00:00:00 2001 From: schrom01 Date: Thu, 3 Nov 2022 11:34:51 +0100 Subject: [PATCH] created Script for Sekantenverfahren --- Schenk_Brandenberger_S5_Aufg1.py | 14 ++++++++------ 1 file changed, 8 insertions(+), 6 deletions(-) diff --git a/Schenk_Brandenberger_S5_Aufg1.py b/Schenk_Brandenberger_S5_Aufg1.py index 3288ab6..e72b855 100644 --- a/Schenk_Brandenberger_S5_Aufg1.py +++ b/Schenk_Brandenberger_S5_Aufg1.py @@ -12,11 +12,14 @@ 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 newtonStep(xn, function, function_diff): + return xn - (function(xn)) / (function_diff(xn)) -def simpleNewtonStep(x0, function, function_diff_x0): - return x0 - ((function(x0)) / (function_diff_x0)) +def simpleNewtonStep(xn, function, function_diff_x0): + return xn - ((function(xn)) / (function_diff_x0)) + +def secantStep(xn, xn_1, function): + return xn - (xn - xn_1)/(function(xn) - function(xn_1)) * f(xn) def newton(x0, iterations, function, function_diff): print("Newton Verfahren:") @@ -24,14 +27,13 @@ def newton(x0, iterations, function, function_diff): 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)) + x.append(newtonStep(xn=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) \ No newline at end of file