[R] convex nonnegative basis vectors in nullspace of matrix

[capy_bara]

Dear all,

I want to explore the nullspace of a matrix S: I currently use the function
Null from the MASS package to get a basis for the null space:
> S  = matrix(nrow=3, ncol=5, c(1,0,0,-1,1,1,1,-1,-1,0,-1,0,0,0,-1)); S
> MASS::Null(t(S))
My problem is that I actually need a nonnegative basis for the null space of
S.
There should be a unique set of convex basis vectors spanning a vector space
in which each vector v satisfies sum (S %*%  v) == 0 and min(v)>=0. 
Is there maybe an R function that can calculate that for me?
I would appreciate any help, 
Thanks in advance,

Hannes


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