Question

MekLelo exercise Yoot mulん Usln* to Co m Com ma

Answer 1

MATLAB code is given below in bold letters.

clc;
close all;
clear all;

float('double');
% define the inital conditions
y0 = 20;
alpha = 620;

% implement the recursive equation using while loop
% initialize y(1)
y(1) = y0;
x = sqrt(alpha); % original value for comparison
n = 1; % counter
while(1)
  
y(n+1) = 1/2*(y(n)+alpha/y(n));
error = double(y(n+1) - x);
if abs(error) < 1e-6 % 6 digits accuracy after decimal
break;
end
n = n+1; % increment the index
end

disp('number of iterations: '),disp(n);

disp('SQRT of 620: '),disp(y(n+1));

RESULT:

number of iterations:
4

SQRT of 620:
24.8998