2. Algorithm implementation: Write a MATLAB program to compute the square root using the
following algorithm: y(n) = x(n) - y^2(n - 1) + y(n - 1). Show that the output y(n) of this system
for an input x(n) = alpha u(n) with y(-1) = 1 converges to as n
Solution
%MATLAB PROGRAM FOR CHEGG
%y(n)=x(n)-y^2(n-1) + y(n-1)
%Here n is the input to the function
%Assyming x(n) = n
%y(n) is the square root of n
function result=f(n)
if(n>=0)
result=n-(f(n-1))^2 +f(n-1);
end
end
%Error function
for n=1:10000
error=f(n)-sqrt(n);
end.
2. Algorithm implementation Write a MATLAB program to compute the sq.pdf
1. 2. Algorithm implementation: Write a MATLAB program to compute the square root using the
following algorithm: y(n) = x(n) - y^2(n - 1) + y(n - 1). Show that the output y(n) of this system
for an input x(n) = alpha u(n) with y(-1) = 1 converges to as n
Solution
%MATLAB PROGRAM FOR CHEGG
%y(n)=x(n)-y^2(n-1) + y(n-1)
%Here n is the input to the function
%Assyming x(n) = n
%y(n) is the square root of n
function result=f(n)
if(n>=0)
result=n-(f(n-1))^2 +f(n-1);
end
end
%Error function
for n=1:10000
error=f(n)-sqrt(n);
end
