Write a MATLAB program for compute the value of following function using normal method, avoid inner loop, avoid both loop

Write a MATLAB program for compute the value of following function using normal method, avoid inner loop, avoid both loop

Code:

 

Method1: clc clear;  y = zeros(20,1); y(1) = 1; temp=0; for n = 2:20 for m = 1:n         temp = temp + m^3; end     y(n) = y(n-1)*temp;     temp = 0; end disp('y(1)'); disp(y(1)); disp('y(2)'); disp(y(2)); disp('y(3)'); disp(y(3));

Method 2 (avoid inner loop): clc clear;  y = zeros(20,1); y(1) = 1; for n = 2:20     temp = 1:n;     y(n) = y(n-1)*sum(temp.^3); end disp('y(1)'); disp(y(1)); disp('y(2)'); disp(y(2)); disp('y(3)'); disp(y(3));

Method 3 (avoid both loop): clc clear; X = tril(ones(20)*diag(1:20)); x = sum(X.^3,2); Y = tril(ones(20)*diag(x))+... triu(ones(20)) - eye(20); y = prod(Y,2); disp('y(1)'); disp(y(1)); disp('y(2)'); disp(y(2)); disp('y(3)'); disp(y(3));

 

Output: