MATLAB: How to count how many iterations the root is in a smaller interval

bisectionmethod

In my code I need to display in the command line how many of the iterations my root was in the smaller interval. I am not entirely sure what this means, but I'm hoping someone does and can give me a hand to work out what I'm missing. At the moment the command line displays the same number of iterations for both the iterations to the root and how many iterations the root was in the smaller interval.

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In each iteration you have two intervals, [a,c] and [c,b]. Compute the size of both intervals and use the last if-else condition in your code to increment itc.

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MATLAB: 5th root with Newton-Raphson code

If n is the number whose 5th root has to be calculated:
function f = fifth_root(n)
  xold=10;
  for i = 1:100
  xnew = xold - (xold*xold*xold*xold*xold-n)/(5*xold*xold*xold*xold);
  xold=xnew;
  end
  f=xnew
  end

MATLAB: Writing code for bisection method; then storing values for each iteration of the loop.

Bradley - look closely at the condition for the while loop

while err > toll

. Since toll (the tolerance) is fixed, how or where does err get set? You initialize it on the previous line but never reset this variable using the new a and b. A couple of other things:

try and avoid using something like f(c) == 0 when comparing floats/doubles. Try a tolerance check instead similar to abs(f(c)) < eps.
only iterate for a maximum number of iterations so that you don't get stuck in the while loop: so either iterate until the error is less than the tolerance OR unti the max number of iterations has been reached.
use arrays to store values that you may want to plot outside of the loops.

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Related Solutions

MATLAB: 5th root with Newton-Raphson code

MATLAB: Writing code for bisection method; then storing values for each iteration of the loop.

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