36 lines
978 B
Python
36 lines
978 B
Python
#%%
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import numpy as np
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# %%
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print("Aufgabe 4")
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def fixpunkt_iteration(f, x, tol=1e-7):
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x_new = f(x)
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i = 0
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while(np.abs(x_new-x) > tol):
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x = x_new
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x_new = f(x)
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i += 1
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return [x_new, i]
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x0 = 1.0
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f = lambda x: 1-(1/5)*x
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fixpunkt_a, iterationen_a = fixpunkt_iteration(f, x0)
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f = np.cos
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fixpunkt_b, iterationen_b = fixpunkt_iteration(f, x0)
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f = lambda x: np.e**-x
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fixpunkt_c, iterationen_c = fixpunkt_iteration(f, x0)
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# Ausgabe
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print("----------------------------------------------------------------------")
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print(__file__)
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print("----------------------------------------------------------------------")
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print(f"a) f(x) = 1-(1/5)*x\nFixpunkt: {fixpunkt_a}\nIterationen: {iterationen_a}\n")
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print(f"b) f(x) = cos(x)\nFixpunkt: {fixpunkt_b}\nIterationen: {iterationen_b}\n")
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print(f"c) f(x) = e⁻x\nFixpunkt: {fixpunkt_c}\nIterationen: {iterationen_c}\n")
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print("----------------------------------------------------------------------")
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