More effcient way to generate unit vector multiples (no for loop)?

2 vues (au cours des 30 derniers jours)
Colton
Colton le 7 Oct 2015
Modifié(e) : Colton le 8 Oct 2015
Hi, I am trying to generate unit vectors of N dimensions, and all the multiples of these unit vectors out to some distance, d. I want to return both the positive and negative directions. The only way I can do this so far is with the for loop below, which gets slow for large d. Order of vectors in final matrix is unimportant. Any tips would be greatly appreciated.
tic;
d=1e5;
N=25;
unit_vecs=zeros(2*N*d,N); %pre-allocation
I=speye(N);
for i=1:d
unit_vecs(((i-1)*2*N+1):(i*2*N),:)=cat(1,i*I,-i*I);
end
toc

Réponse acceptée

Andrei Bobrov
Andrei Bobrov le 7 Oct 2015
unit_vecs = kron((1:d)',[I;-I]);

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