Gauss algorithmus zum Lösen von Ax=b

gauss.py

@@ -0,0 +1,44 @@
+def gauss(A,b,offset=(0,0)):
+    ox,oy = offset
+    if len(A)-1 < oy:
+        return A,b
+
+    for i in range(oy,len(A)):
+        if A[i][ox] != 0:
+            if i > oy:
+                A[i], A[oy] = A[oy], A[i]
+                b[i], b[oy] = b[oy], b[i]
+            break
+
+    for i in range(oy+1,len(A)):
+        if A[i][ox] != 0:
+            c = A[i][0]/A[oy][0]
+            A[i] = [ (A[i][x] - A[oy][x]*c) for x in range(ox,len(A[i])) ]
+            b[i] = b[i] - b[oy]*c
+
+    return gauss(A,b,offset=(ox+1,oy+1))
+
+
+def vprint(A):
+    for i in range(len(A)):
+        print("%3d" % A[i])
+
+def pprint(A):
+    for i in range(len(A)):
+        print( " ".join(["%3d" % (A[i][j]) for j in range(len(A[i])) ]) )
+
+
+A = [ [ 1, 1 ],
+      [ 1,-1 ] ]
+
+b = [ 5,
+      3 ]
+
+pprint(A)
+vprint(b)
+
+
+A, b = gauss(A,b)
+
+pprint(A)
+vprint(b)