MATLAB: Fibonacci.m for Fibonacci Series

fibonacci series

Here is a .m file what I made for Fibonacci Series:
function F = Fibonacci(n)
%Fibonacci Series: Calculate the nth term 
%The Fibonacci numbers are the sequence 0, 1, 1, 2, 3, 5, 8, 13, 21….
%Given that the first two numbers are 0 and 1, the nth Fibonacci number is
%Fn = Fn–1 + Fn–2.
%Applying this formula repeatedly generates the Fibonacci numbers.
F(1) = 0;
F(2) = 1;
i = 3;
while i <= n
      F(i) = F(i-1)+F(i-2);
      i = i+1;
end
F = F(n);
end
If I input n is single number such as:
n=10;
Fibonacci(n)
It can give me the correct answer:
ans = 34
However, if I input n is an array, such as:
n=1:10;
Fibonacci(n)
It gives the error warning:
Index exceeds the number of array elements (2).
Error in Fibonacci (line 15)
F = F(n);
I just wonder why it occurs this information?

Best Answer

You function is not vectorized ... that is, it is not written to handle anything other than a scalar input. As written, you would need to call your function in a loop. E.g.,
n=1:10;
for k=1:numel(n)
    F(k) = Fibonacci(n(k));
end
The alternative would be to rewrite your function so that it can handle non-scalar inputs. E.g., suppose you did this:
m = max(n);
while i <= m
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