Spektral-Norm

src/klausurvorbereitung/spektral_norm.py

@@ -0,0 +1,28 @@
+"""
+Spektral-Norm ||A||2
+
+A Matrix:
+
+[4 9]
+[2 7]
+"""
+
+import numpy as np
+import sympy as sp
+
+# Numpy
+A = np.array([[4, 9], [2, 7]])
+n = np.linalg.norm(A, ord=2)
+print(n.round(4))
+
+# Sympy
+A = sp.Matrix([[4, 9], [2, 7]])
+n = A.norm(ord=2)
+print(n)
+
+"""
+Ausgabe:
+
+12.2201
+sqrt(5*sqrt(221) + 75)
+"""