Which of the following iterations will converge to the indicated fixed point a (provided xo is...

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Which of the following iterations will converge to the indicated fixed point a (provided xo is chosen sufficiently close to a). If the iteration does converge, give the order of convergence. For linear convergence, give the rate of linear convergence. If the iteration does not converge, re-write the iteration in another form so that it does converge (provided xo is sufficiently close to a). -16 + 6xn+ Zxn + 1 1/2 a. Xn+1 b. Xn+1 = = C. Xn+1 = 12 1+xn a= 12 In a = 3¹/3~ 1.4422 3 α = 2 Which of the following iterations will converge to the indicated fixed point a (provided xo is chosen sufficiently close to a). If the iteration does converge, give the order of convergence. For linear convergence, give the rate of linear convergence. If the iteration does not converge, re-write the iteration in another form so that it does converge (provided xo is sufficiently close to a). -16 + 6xn+ Zxn + 1 1/2 a. Xn+1 b. Xn+1 = = C. Xn+1 = 12 1+xn a= 12 In a = 3¹/3~ 1.4422 3 α = 2

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Lets examine each situation in turn to find the convergence and order of convergence for the specifi... View the full answer