Creating table with all iterations of function

I am trying to run this code and get it to show each of the iterations for the function up until itmax = 4. Any idea how I can get it to print separate iterations in the same table using the code I have as of now?

es = 1E-6;                          % Stopping criterion (%).
itmax = 4;                          % Maximum number of iterations.
xl = 0.5; 		                    % Initial lower bound of the interval.
xu = 1;                             % Initial upper bound of the interval.
xr = 0.8; 		                    % Initial approximation of the root.
fx = @(x) sin(x) - (x.^2);          % Function of interest.
for it = 1:itmax
  xrold = xr;
  xr =(xl+xu)/2;                    % Approximation of the root.
  if (xr~=0)
    ea = abs((xr-xrold)/xr)*100;    % Approximate relative error.
  end
  test = fx(xl)*fx(xr);             % Half-interval test. 
  if (test<0)
    xu=xr;
  elseif (test>0)
    xl=xr;
  else
    ea = 0;
  end
  if (ea<=es), break, end
end
disp('Bisection method results:')

Bisection method results:

root = xr;                          % Estimated root via the Bisection method when converge
func = fx(xr);                      % Function value at the estimated root
ea;                                 % Relative error
T = table(root', func', ea', 'VariableNames', {'Root Value', 'Function Value', 'Relative Error'})

T = 1×3 table
    Root Value    Function Value    Relative Error
    __________    ______________    ______________

     0.90625        -0.034092           3.4483    

Answer 1

[Amey Waghmare]

Hi,

As per my understanding, you are trying to display the values of variables root, func and ea in the Table T for each iteration.

In order to store the values for each variable, you can initialize an empty array for each variable at the beginning of the code using:

xr_arr = zeros(1, itmax);

where the index of the array corresponds to the iteration number, and then update values at each index in the for loop using:

xr_arr(it) = xr;

At the end when you are creating the table, you can pass xr_arr instead of xr to the table function. Similar workflow can be done for other variables in your code.

I hope this resolves the issue.