Solved Task 2b

Schenk_Brandenberger_S8_Aufg2.py

@@ -55,20 +55,42 @@ def Serie8_Aufg2(A):
 
 
 if __name__ == '__main__':
-    A = np.array([[1, 2, -1], [4, -2, 6], [3, 1, 0]])
+    # Beispiel
+    # A = np.array([[1, 2, -1], [4, -2, 6], [3, 1, 0]])
+    # b = np.array([
+    #     [9],
+    #     [-4],
+    #     [9]
+    # ])
 
     # Example from Task 1
-    # A = np.array([
+    A = np.array([
-    #     [1, -2, 3],
+        [1, -2, 3],
-    #     [-5, 4, 1],
+        [-5, 4, 1],
-    #     [2, -1, 3]
+        [2, -1, 3]
-    # ])
+    ])
-    # b = np.array([
+    b = np.array([
-    #     [1],
+        [1],
-    #     [9],
+        [9],
-    #     [5]
+        [5]
-    # ])
+    ])
 
     [Q,R]=Serie8_Aufg2(A)
+
+    n = len(b) - 1
+    QTb = Q.T @ b
+    result = [0 for i in range(n+1)]
+    row = n
+    while row >= 0:
+        value = QTb[row][0]
+        column = n
+        while column > row:
+            value -= R[row][column] * result[column]
+            column -= 1
+        value = value / R[row,row]
+        result[row] = value
+        row -= 1
+
     print("\nQ:\n", Q)
-    print("\nR:\n", R)
+    print("\nR:\n", R)
+    print("\Result:\n", result)