Paolo de Leva

Chris, thak you for your rating. What you describe is indeed a useful operation which is described in geometry as a transformation matrix composition (a special kind of function composition), but it is different from what MULTIPROD does. MULTIPROD is designed to operate on 2 block arrays of matrices or vectors or scalars, not on a single block array. You can compare it with DOT and CROSS, which also operate on 2 block arrays. In other words, MULTIPROD, DOT and CROSS can be described as binary operations, while you need a unary operation (operating on a single operand). Possibly, you or some other author will be willing to design and publish an optimized function to do what you need. Such a function would be consistent with what I called the "ARRAYLAB" phylosophy (an evolution of the original MATLAB approach, see MULTIPROD manual).
Sorry for rating myself. I did that by mistake and did not find a way to undo it.

BAXFUN is just a trifling enhancement to the built-in function BSXFUN. The enhanced syntax just allows you to operate a dimension shift before applying the specified binary function. However, I believe it is useful to publish it for two reasons:
1) it teaches to whoever is willing to read the help text how much additional power you can obtain from BSXFUN if you combine it with a dimension shift (see examples), and it provides a compact syntax to do it with a single instruction.
2) AX was first enabled for matrix multiplication, with version 2.0 of MULTIPROD (MATLAB Central, file #8773), and for vectorial operations, with the latest version of the Vector algebra toolbox, (MATLAB Central file #8782). In these applications, it provides a terrific service. For the sake of consistency, however, I felt that it was also necessary to enable AX for element-wise operations.

An excellent "hack", a smart and computationally efficient algorithm. It is equivalent to BSXFUN (a builtin function introduced about a year later in MATLAB R2007a), and of course much slower, but it can be used as a replacement for BSXFUN by those who have earlier versions of MATLAB. This allowed me to ensure backward compatibility for version 2.0 of my MULTIPROD function, a generalization to N dimensions of the matrix product MTIMES (I am debugging it, I will publish it ass soon as it is ready):

http://www.mathworks.fr/matlabcentral/fileexchange/8773

MULTIPROD uses BSXFUN to implement singleton expansion and to increase computational speed.

There's another file in MATLAB Central File Exchange which does approximately the same job as GENOP (and perhaps more quickly), but does it less efficiently as for memory usage, by temporarily allocating a huge amount of additional memory to physically expand the arrays:

http://www.mathworks.com/matlabcentral/fileexchange/18685

Nice program to change all the lines of code into one command. really useful in simulations etc.

Chris, thak you for your rating. What you describe is indeed a useful operation which is described in geometry as a transformation matrix composition (a special kind of function composition), but it is different from what MULTIPROD does. MULTIPROD is designed to operate on 2 block arrays of matrices or vectors or scalars, not on a single block array. You can compare it with DOT and CROSS, which also operate on 2 block arrays. In other words, MULTIPROD, DOT and CROSS can be described as binary operations, while you need a unary operation (operating on a single operand). Possibly, you or some other author will be willing to design and publish an optimized function to do what you need. Such a function would be consistent with what I called the "ARRAYLAB" phylosophy (an evolution of the original MATLAB approach, see MULTIPROD manual).
Sorry for rating myself. I did that by mistake and did not find a way to undo it.