If I understand properly:

Hadamard product is *

Kroneker product is ([:,/[:,./"3*/)

Or,

   block=: 1 : '[:,/[:,./"3 u'
   */ block

There are of course other ways of defining this.

Khatri-Rao product is A */block &.> B and works on a matrix of boxed
matrices

Tracy-Sigh product is (1 0 3 |: */)block&.>/block and also works on a
matrix of boxed matrices

Vector cross product gets interesting because it is typically defined on 3
element vectors and there are at least two very distinct ways of
generalizing that to vectors of other lengths.

Anyways, the paper sounds interesting, and I'd like a copy if it's not too
much trouble.

Thanks,

-- 
Raul

On Tue, Apr 29, 2014 at 3:17 PM, mikel paternain <[email protected]>wrote:

> In a excellet review paper (see below [1]) Shuangzhe Liu & Götz Trenkler
> show some results on matrix products:
>
> - Hadamard product
> - Kroneker product
> - Khatri-Rao product
> - Tracy-Sigh product
> - Khatri-Rao sum
> - Tracy-Sigh sum
> - Vector cross productSchur complement, etc.
>
> With this  thread, we intend to create a collaborative work to find the
> J-expressions that meet these products and sums.
> If you want to collaborate, these will be published in next issue of
> Journal of J (deadline May-31)
> Thanks in advance,
> Mikel
> JoJ
>
> -----------------------------------------------------------------------------------------------------------------
> [1] There is a free version on the webif you can not find it, we can send
> you a copy
>
> HADAMARD, KHATRI-RAO, KRONECKER AND OTHER MATRIX PRODUCTS
> Shuangzhe Liu & Götz Trenkler
> International Journal of Infornation ans Systems Sciences
> Vol. 4, N. 1, 160-177
>
>
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
>
----------------------------------------------------------------------
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