Is there any math operation defined to obtain vector $[4,3,2,1]$ from $[1,2,3,4]$? I mean have it been studied, does it have a name? 
Like Transpose, Inverse, etc.. have names.
I wonder if the "inversion" of the components position have a name so then I could search material on this topic.
Thanks

I do not know anything about reversal specifically, but it is a special case of what is known as a permutation matrix.
