Added Babylonian iteration method for finding Phi in Python.

jcla1 · jcla1 · commit 04639b79daed · 2014-04-16T16:45:49.000+02:00
diff --git a/Golden_Ratio_Algorithms/Python/jcla1/golden_ratio.py b/Golden_Ratio_Algorithms/Python/jcla1/golden_ratio.py
@@ -12,4 +12,11 @@ def golden_ratio_fractional_iteration(phi=1.0, acc=1E-8):
     while abs(phi - tmp) > acc:
         tmp = phi
         phi = 1 + (1 / phi)
+    return phi
+
+def golden_ratio_babylonian_iteration(phi=1.0, acc=1E-8):
+    tmp = 0
+    while abs(phi - tmp) > acc:
+        tmp = phi
+        phi = (phi * phi + 1) / (2 * phi - 1)
     return phi
