Question

Problem 2 [35]

Use the function file named NewtonSqrtCS3.m posted on D2L as a starting template to accomplish the following criteria.

(a) Change the function name to your surname

(b) Ensure that the long format statement is included in the function file.

(c) Introduce a variable called it outside the loop and initialize to 0

(d) Within the loop update it by 1 (e) Modify the statement in the while loop so that it allows you to check the termination of the loop when the conditional is > delta and it is < maxit

(f) Run your function to compute the square root of 59 using a delta value of 5E-3 and maxit of 3.

(g) Repeat step f with a delta value of 5E-9 and maxit of 7.

Answer 1

function NewtonSqrtCS3(x,delta,maxit)

%The simple square root function with added functionality%

%Synopsis:Call the function NewtonSqrt and pass a numerical value 'a' whiose square root we need to approximate.Pass also delta and maxit for convergence control

if nargin<2,delta=5E-6;end

if nargin<3,maxit=5;end

r=x/2;

rold=x;

%Use fprintf command as a place holder

fprintf("\n the estimate for the aquare root of x is \n')

%disp({'The approach to sqrt(a) for a=',num2str(a)]);

%i=0;

while abs((r-rold)/rold)>delta

%while i<6

rold=r;

r=0.5*(rold+x/rold);

disp(r)

%i=i+1;

end

fprintf('%14.6f\n',r)

%disp('Matlab"s value:')

fprintf('Matlab"s value is:')

disp(sqrt(x))