Is the any other method exists for hour-glass-sum problem which yields complexity less than O(r x c)of a given matrix?

Question

Is the any other method exists for hour-glass-sum problem which yields complexity less than O(r x c), where r=#rows and c=#cols of the given matrix ?

Is the any other method exists for hour-glass-sum problem which yields complexity less than O(r x c), where r=#rows and c=#cols of the given matrix ?