How to run a for loop n times with a different size matrix inside the loop

I am attempting to run the four values of x_o and y_o through the loop to do conformal mapping. The matrix size of the circle in the loop is different, but I need to run it four times, with four different output graphs. Is this possible in MATLAB? Thanks

Here is what I have so far:

x_o = [0.1, 0.15, 0.2, 0.25]; y_o = [0.1, 0.15, 0.2, 0.25]; n = length(x_o);

for i = 1:n

    R = 1;
    theta = linspace(0,2*pi,100);

    x = R*cos(theta) - x_o;
    y = R*sin(theta) + y_o;

    b = sqrt(R^2 - y_o.^2) + x_o;

    A = x + [(x.*b.^2)./(x.^2 + y.^2)];
    B = y - [(y.*b.^2)./(x.^2 + y.^2)];

    figure
    plot(x,y,'--',A,B)
    grid on

end

[Stephen23]

"...I need to run it four times, with four different output graphs. Is this possible in MATLAB?"

Of course, that is what loops are for: just change the plotted data inside the loop, and you will get four different plots (the data you currently plot is exactly the same on each loop iteration).

[BryanE]

My problem is that the matrix don't agree, is there a way to setup the loop to avoid this?

[Stephen23]

"My problem is that the matrix don't agree"

Don't agree with what?

Please given an actual example of the inputs and outputs that you expect to get.

Answer 1

[Koundinya]

You must be getting the error ' Matrix dimensions must agree ', this is because

theta = linspace(0,2*pi,100);

creates a vector theta with dimensions 1x100, R*cos(theta) and R*sin(theta) will also have dimensions equal to 1x100 , but your vector x_o is of dimension 1x4, so adding/subtracting vectors of unequal dimensions will result in an error

% Error occurs at these lines 
 x = R*cos(theta) - x_o;    
 y = R*sin(theta) + y_o;  

 b = sqrt(R^2 - y_o.^2) + x_o;

to iterate through each element of the vectors x_o and y_o, change it to

x = R*cos(theta) - x_o(i);    
y = R*sin(theta) + y_o(i);

b = sqrt(R^2 - y_o(i).^2) + x_o(i);