What you're asking might be called "nonnegative Cholesky factorization." From 
a brief search, there seems to be a dearth of literature on that subject. You 
could be the first!

--Tim

On Wednesday, May 06, 2015 09:59:37 AM Lytu wrote:
> NMF.jl package can factorize a matrix 3x3 and give two matrix (a 3x2 matrix
> H and a 2x3 matrix W), W is the transpose of a matrix H?
> A = H * W
> E.g:
> import NMF
> A=[5.0 3.0 6.0;3.0 9.0 12.0;6.0 12.0 17.0]
> H, W= NMF.randinit(A, 2)
> 
> this code give me 2 matrix H and W
> 
> I know that NMF.randinit() gives two matrix H(3x2) and W(2x3) but W is not
> the transpose of a matrix H.
> 
> I would like to know there is a function in NMF package that can give this
> such result:
> A = H * W with W=H'
> Thank you

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