I have a function "Func(X)" which operations on n-by-1 single column matrix "X" and outputs a scalar quantity. I also have a n-by-m matrix "A" that I would like to apply "Func" for all m columns in "A" and obtain 1-by-m matrix, say B, as a result without using for loop or any iterative definitions. What is the best way to proceed with this?
Here is it, as an example. The actual function is complicated and there is a little room for modification but for illustration I will just define a much simpler operation that is essentially equivalent.
% example for "A" A = [1 2 3 4;5 6 7 8;9 10 11 12]; % definition for "Func" function Result = Func(X) Result = sum(X) Paolo on 6 Sep 2018The actual calculation of B is much more complicated that takes cascades of multiple functions and B is an optimization fitness product for given population A in neural network. But all this detail is highly irrelevant for my question here. I just want a simple, elegant way that is non-iterative definition that applies a function to each column of a given matrix for all columns without iterative definition.
There is no general way that is more efficient than a for-loop, but if you are just trying to hide the loop, then you can do things like this: