the

2. Originally Posted by eminedeniz
The question is as follows:

y=H(x) where x and y are both vectors.

The function Q(x) is defined as follows: Q(x)=x+H(x)-y

I need to show 1) x is fixed point of Q(x)
That's kind of trivial, isn't it? Since y= H(x), Q(x)= x+ H(x)- y= x+ y- y= x.

2) What is the necessary condition for the iterative series
Xn+1=Q(Xn) to converge to x.

Thank you very much in advance!
In general, $X_{n+1}= F(X_n)$ will converge as long as |F'|< 1.

3. the