Kp3 is defined monadicallly, but it creates the same function as kp and it gives the same results when used dyadically.
kp3=: 13 :',/,./"3*/y' (A kp3 B)-:A kp B 1 Linda -----Original Message----- From: [email protected] [mailto:[email protected]] On Behalf Of Jose Mario Quintana Sent: Tuesday, April 29, 2014 4:41 PM To: Programming forum Subject: Re: [Jprogramming] Matrix Products and collavorative work That is also my understanding. A couple of alternatives are: kp1=: *&$ ($,) 0 2 1 3 |: */ kp2=. ,/"2@:(,/@:(1 3&|:@:(*/))) A=. i.3 4 B=. >:*: i. 5 2 A;B ┌─────────┬─────┐ │0 1 2 3│ 1 2│ │4 5 6 7│ 5 10│ │8 9 10 11│17 26│ │ │37 50│ │ │65 82│ └─────────┴─────┘ A kp1 B 0 0 1 2 2 4 3 6 0 0 5 10 10 20 15 30 0 0 17 26 34 52 51 78 0 0 37 50 74 100 111 150 0 0 65 82 130 164 195 246 4 8 5 10 6 12 7 14 20 40 25 50 30 60 35 70 68 104 85 130 102 156 119 182 148 200 185 250 222 300 259 350 260 328 325 410 390 492 455 574 8 16 9 18 10 20 11 22 40 80 45 90 50 100 55 110 136 208 153 234 170 260 187 286 296 400 333 450 370 500 407 550 520 656 585 738 650 820 715 902 A kp2 B 0 0 1 2 2 4 3 6 0 0 5 10 10 20 15 30 0 0 17 26 34 52 51 78 0 0 37 50 74 100 111 150 0 0 65 82 130 164 195 246 4 8 5 10 6 12 7 14 20 40 25 50 30 60 35 70 68 104 85 130 102 156 119 182 148 200 185 250 222 300 259 350 260 328 325 410 390 492 455 574 8 16 9 18 10 20 11 22 40 80 45 90 50 100 55 110 136 208 153 234 170 260 187 286 296 400 333 450 370 500 407 550 520 656 585 738 650 820 715 902 kp0=. [: ,/ [: ,./"3 */ A kp0 B 0 0 1 2 2 4 3 6 0 0 5 10 10 20 15 30 0 0 17 26 34 52 51 78 0 0 37 50 74 100 111 150 0 0 65 82 130 164 195 246 4 8 5 10 6 12 7 14 20 40 25 50 30 60 35 70 68 104 85 130 102 156 119 182 148 200 185 250 222 300 259 350 260 328 325 410 390 492 455 574 8 16 9 18 10 20 11 22 40 80 45 90 50 100 55 110 136 208 153 234 170 260 187 286 296 400 333 450 370 500 407 550 520 656 585 738 650 820 715 902 On Tue, Apr 29, 2014 at 4:32 PM, Raul Miller <[email protected]> wrote: > 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 > > > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
