recursive function with array as an input in matlab

A recursive function is a function that calls itself either directly or indirectly. In Matlab, a recursive function can be written to operate on arrays by utilizing element-wise operations.

Here is an example of a recursive function in Matlab that takes an array as input:

main.m
function output = recursiveArray(input)

% Check termination condition
if length(input) == 1
    output = input;
    return
end

% Divide input into two halves
mid = ceil(length(input)/2);
firstHalf = input(1:mid);
secondHalf = input(mid+1:end);

% Recursively call function on each half
firstHalfOutput = recursiveArray(firstHalf);
secondHalfOutput = recursiveArray(secondHalf);

% Combine outputs and return
output = [firstHalfOutput, secondHalfOutput];

end
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This function recursively divides the input array in half until the length of the input array is one. When the input length is one, the function simply returns the array. When the input length is greater than one, the function divides the input into two halves and calls itself on each half. The outputs of the recursive calls are combined and returned.

Note that recursive functions can be computationally expensive and can potentially lead to stack overflow errors if the recursion depth is too large. Therefore, it's important to always include a termination condition to prevent infinite recursion.