Vectorized Multi-Dimensional Matrix Multiplication

Take Any N-D Matrix and Multiply it by another N-D Matrix Without a For-Loop

If you want to multiply multi-dimensional matrices together without having to write a for-loop to cycle through each additional dimension beyond two, this routine is for you. Not a single for-loop was used in the development of this routine. Consequently, you should see a significant runtime improvement when using the multi-dimensional matrix multiply operations contained in this code.
mntimes will support 2-D matrix multiplication much like the built-in mtimes.m routine (so you can overload it if desired), it will support 3-D matrix multiplication, 4-D multiplication, and so on (until you run out of system memory). Matrices don't have to be the same size (i.e. 3x3 * 3x3) they can be 1x3 * 3x1, 1x3 * 3x3, 3x3 * 3x1, the choices are unlimited as long as it is a valid 2-D operation. If you are sure to identify which dimension corresponds to a row, and which to a column there shouldn't be a N-D matrix case this code can't handle.
Example Function call:
z = mntimes(x,y,xrowdim,xcoldim,yrowdim,ycoldim);
Input List:
x - N-D input matrix
y - N-D input matrix
xrowdim - row dimension specifier for x
xcoldim - column dimension specifier for x
yrowdim - row dimension specifier for y
ycoldim - column dimension specifier for y
Output List:
z - N-D output matrix (resulting product of the z = x*y operation)