Consider the function and use the MatLab code below a) With a starting approximation of , use the iteration scheme to approximate the fixed point on 0,1 to within 5 x 10 7 b) Use the theoretical error bound to obtain a theoretical bound on the number of iterations needed to aproximate the fixed point to within 5 x 10 7 How does the number of iterations in part b compare with the theoretical bound g(z) e r g(z) e r

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Question: Consider the function and use the MatLab code below. a) With a starting approximation of , use the iteration scheme to approximate the fixed point

Consider the function Consider the function and use the MatLab code below. a) With a and use the MatLab code below.

a) With a starting approximation of starting approximation of , use the iteration scheme to approximate the fixed , use the iteration scheme to approximate the fixed point on [0,1] to within 5 x 10^-7

b) Use the theoretical error bound error bound to obtain a theoretical bound on the number of iterations to obtain a theoretical bound on the number of iterations needed to aproximate the fixed point to within 5 x 10^-7. How does the number of iterations in part b compare with the theoretical bound?

needed to aproximate the fixed point to within 5 x 10^-7. How

g(z) e-r. = g(z) e-r. =

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