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cd88f40805
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6c528077ac
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@ -31,7 +31,8 @@ def Schenk_Brandenberger_S6_Aufg2(A, b):
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countRowSwitch += 1
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countRowSwitch += 1
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else:
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else:
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A, b = calculateRow(A, b, row, column)
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A, b = calculateRow(A, b, row, column)
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#print("\nObere Dreiecksmatrix A:\n", A, "\nb:\n", b)
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print("\nObere Dreiecksmatrix A:\n", A, "\nb:\n", b)
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# Rückwärtseinsetzen
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# Rückwärtseinsetzen
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columnsToEdit = []
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columnsToEdit = []
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@ -40,7 +41,7 @@ def Schenk_Brandenberger_S6_Aufg2(A, b):
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for column in columnsToEdit:
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for column in columnsToEdit:
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A, b = calculateRow(A, b, row, column)
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A, b = calculateRow(A, b, row, column)
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row -= 1
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row -= 1
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#print("\nA:\n", A, "\nb:\n", b)
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print("\nA:\n", A, "\nb:\n", b)
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det = 1
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det = 1
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result = []
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result = []
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@ -1,16 +0,0 @@
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import numpy as np
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import scipy
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if __name__ == '__main__':
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# Aufgabe 2c
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A = np.array([[0.8, 2.2, 3.6],
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[2.0, 3.0, 4.0],
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[1.2, 2.0, 5.8]])
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b = np.array([[2.4],
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[1.0],
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[4.0]])
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p, l, u = scipy.linalg.lu(A)
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print("\np:\n", p, "\nl:\n", l, "\nu:\n", u)
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@ -1,52 +0,0 @@
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from Schenk_Brandenberger_S7_Aufg1 import Schenk_Brandenberger_S6_Aufg2
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import numpy as np
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import matplotlib.pyplot as plt
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if __name__ == '__main__':
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# Aufgabe 3a
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x_plt_label_offset = 1997
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x = np.array([0, 2, 9, 13])
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y = np.array([150, 104, 172, 152])
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A = np.array([
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[x[0]**3, x[0]**2, x[0]**1, x[0]**0],
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[x[1]**3, x[1]**2, x[1]**1, x[1]**0],
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[x[2]**3, x[2]**2, x[2]**1, x[2]**0],
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[x[3]**3, x[3]**2, x[3]**1, x[3]**0]])
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b = np.array([
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[y[0]],
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[y[1]],
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[y[2]],
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[y[3]]])
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p1 = Schenk_Brandenberger_S6_Aufg2(A, b)[0]
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x_plt1_min = np.min(x)
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x_plt1_max = np.max(x)
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x_plt1_steps = (float(x_plt1_max) - float(x_plt1_min)) / 100.0
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x_plt = np.arange(x_plt1_min, x_plt1_max + x_plt1_steps, x_plt1_steps)
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plt.plot(x_plt + x_plt_label_offset, np.polyval(p1, x_plt), label="Aufgabe 3a")
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# Aufgabe 3b
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print("Schätzwert Aufgabe 3b für das Jahr 2003:", np.polyval(p1, 2003 - x_plt_label_offset))
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print("Schätzwert Aufgabe 3b für das Jahr 2004:", np.polyval(p1, 2004 - x_plt_label_offset))
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print()
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# Aufgabe 3c
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p2 = np.polyfit(x, y, 3)
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x_plt2_min = np.min(x)
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x_plt2_max = np.max(x)
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x_plt2_steps = (float(x_plt2_max) - float(x_plt2_min)) / 100.0
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x_plt = np.arange(x_plt2_min, x_plt2_max + x_plt2_steps, x_plt2_steps)
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plt.plot(x_plt + x_plt_label_offset, np.polyval(p2, x_plt), label="Aufgabe 3c")
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print("Schätzwert Aufgabe 3c für das Jahr 2003:", np.polyval(p2, 2003 - x_plt_label_offset))
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print("Schätzwert Aufgabe 3c für das Jahr 2004:", np.polyval(p2, 2004 - x_plt_label_offset))
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# Plots anzeigen
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plt.title("Aufgabe 3")
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plt.grid()
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plt.legend()
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plt.show()
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