am new in MATLAB adn I am trying to calculate 3 different equations root using bisection method with the code below. it only calculates first equation and does not loop. can you haelp me?
clc,clear, clear all
fs = {@(x)sin(x^2)+x-1;
@(x)x^10-1;
@(x)x^5-2*x^3+x^2-1};
xl=[0 0 0]; %lower bound
xu=[1.2 1.5 1.6]; %upper bound
e=[0.01e-2 0.005e-2 0.002e-2]; %specified error tolerances
iter=0;
err=1;
for i=1:3
if fs{i}(xl(i))*fs{i}(xu(i))>0
fprintf('No Root at specified interval\n')
else
lower=xl(i);
upper=xu(i);
while(err>e)
iter = iter+ 1;
xr = (lower+upper)/2;
if fs{i}(xl(i))*fs{i}(xr)<0
upper=xr;
else
lower=xr;
end
err=abs((upper-lower)/upper);
fprintf('%d %3.6f %3.4f %3.4f %3.8f%%\n',iter,lower,upper,xr,err*100);
end
end
end

 Accepted Answer

You need to move your err initialization inside your loop. I.e., these lines need to move:
iter=0;
err=1;
Also, you need to index into your e vector. E.g., this line
while(err>e(i)) % <-- e changed to e(i)

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