While loop does not iterate

Hello,

I am trying to write the bisection method manually but having problems with the while loop. I am calculating the error in the loop and i want it to go on until the error reaches 0.05 %.

But the code wont work. It only does the first iteration and the ans =1 , logical appears on the command window and it freezes.

I would appreciate any help.

Here is what i did;

x1=1;
x2=2;
bb=0;
err = 2;
%bisection
while ne(err,0.05)
    y1 = sin(exp(-x1))-cos(x1);
    y2 = sin(exp(-x2))-cos(x2);
    
  carpim = y1*y2;
  if le(carpim,0)
      xm = (x1+x2)/2;
      ym = sin(exp(-xm))-cos(xm);
      cc = y1*ym;
      cc2 = y2*ym;
      if le(cc2,0)
          bb = y2;
         y2 = ym;
         err = (y2-bb)*100/y2;
      else
              le(cc,0)
              bb=y1;
              y1 = ym;
              err = (y1-bb)*100/y1;
      end
  end 
end

[dpb]

while ne(err,0.05)

will run until the value of err is identically equal to 0.05 which probably will never happen. Hence, you've written an infinite loop for all cases other than a fluke, rare event. What you probably intended was something like

while err>0.05

instead altho I've not tried to debug your code, that's likely a good start.

[dpb]

Intended to write

while abs(err)>0.05

Answer 1

[KALYAN ACHARJYA]

No the iteration going on, may be infinite

@dpb already suggested you to use

while err>0.05  

end

and second approach use

err=abs()   % absolute error

Please carefully check the data and expression to validate the data, so that the error reaches the value less than 0.05 and iteration number not goes large or infinite.

As the error value is not changing in large iterations also (check the expression)

err =

220.0063

err =

220.0063

Therefore while loop true always and code running infinite.