Write program to Find Fixed point iteration Numerical Analysis (Matlab) Write pr

Question

Write program to Find Fixed point iteration

Numerical Analysis (Matlab)

Write program to Find Fixed point iteration clear; %Define g(x) %Define initial guess as first entry in array p. %As p is an array, p(0) does not exist. %Hence, we need to define p(1) as initial guess p_0 P(1) = ???; %Define tolerance tolerance=???; %Define error to be some value > tolerance. error=???; %Define j = 1 as starting point for "counter" in loop %Create while loop for fixed point iteration, while P(j + 1) = ???; ???; ???; end p %Displays array p error %Displays difference between last two approx.

Explanation / Answer

z(1) = 0.75;

for n = 1:20

z(n+1) = (5-z(n)^3)/5;

x(n) = z(n+1);

end

plot(x, '+r');

xlabel('Iteration n');

ylabel('x(n)');

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