40
=
x x
+
1
0
k
−
k
k − = + = 2 0 δ δ x −
2
y
y
+
1
k
k
k
z
z
+
1
k
k
k
4.6
where
and
n z will approximate our quotient
(the larger
=
=
,4
4.6
x
y
0
0
4
n, the number of iterations, then the better the approximation). The above iteration scheme is encoded as a computer program (FORTAN 77) and the iteration scheme is allowed to execute 50 times: the results are in displayed in Graphs 1 and 2.
Graph 1 - plot of z sequence values against k
2
1.5
1
0
5
10 15 20 25 30 35 40 45 50
k
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