How do I create a loop for this expression?

Question

James Smith 2019-12-1

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关闭： MATLAB Answer Bot 2021-8-20

Basically we have xn+1 = 1/2(xn+(a/xn))

stop if n=N where |x^2N −a|<e. e is max error

Here is my working so far i dont understand how to create a loop for this iteration

a=input('Enter a value for a')

e=input('Enter a value for e')

x0=input('Enter a value for x0')

% if n = 0

x = x0

for n = 1:(N-1)

steps = 0

% iteration counter

if mod((xN)^2 -a) < N

end if n=N

i want to get a lot of values to estimate root(a) but i've made mistakes not sure how to fix

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Answer 1

Thiago Henrique Gomes Lobato 2019-12-1

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Those modifications fix your code. Your fogot the actually equation in the iteration and had some variables misplaced.

a=input('Enter a value for a \n');
e=input('Enter a value for e \n');
x0=input('Enter a value for x0 \n');
N=input('Enter a value for N max \n');
x = x0
for n = 1:(N-1)
    
    x = 1/2*(x+(a/x));
% iteration counter 
if abs((x)^2 -a) < e
    NofIterations = n;
    break
end
end 
NofIterations
rootFromA = x