the
Last edited by eminedeniz; May 16th 2009 at 11:35 AM.
Follow Math Help Forum on Facebook and Google+
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, will converge as long as |F'|< 1.
Last edited by eminedeniz; May 16th 2009 at 11:36 AM.
View Tag Cloud