is to write the equation that produces the weight values. Let us rewrite the
ideal performance surface (Eq.1B.10)as
(1B.11)
where
(1B.12)
By computing the gradient of J Eq.1 B.11 , we get
(1B.13)
so the iteration that produces the weight updates Eq.1.11 can be written as
(1B.14)
This is a first-order linear constant-coefficient difference equation, which
can be solved by induction. First, let us subtract w* from both sides to yield
Start with a solution w(0).
which provides by induction the equation
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