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Math Help - An Urgent Question Please Help!

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    Smile An Urgent Question Please Help!

    the
    Last edited by eminedeniz; May 16th 2009 at 12:35 PM.
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  2. #2
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    Quote Originally Posted by eminedeniz View Post
    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.
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    Last edited by eminedeniz; May 16th 2009 at 12:36 PM.
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