Question

need a matlab script to show this

1. Apply the bisection routine bisect to find the root of the function f(x)= -1.1 starting from the interval [0,21 (that is, a 0 and b 2), with atol 1.c-8. Gopy 3.6. Exercises 59 required? Does the iteration count match the expectations. (a) How many iterations are based on our convergence analysis? (b) What is the resulting absolute error? Could this absolute error he predicted by our con- vergence analysis?

Answer 1

MATLAB CODE

clc;
clear all;
count=0;
format long
a=0;
b=2;
while abs(a-b)>10^(-8)
f=inline('sqrt(x)-1.1');
c=(a+b)/2;
count=count+1;
if f(a)*f(c)<0
b=c;
elseif f(b)*f(c)<0
a=c;
else
disp('root of the function is ');
c
iterations=count
return
end
end
disp('root of the function is ');
c
iterations=count

ANSWERS

root of the function is

c =

1.210000000894070

iterations =

28