Computes the LQ decomposition of a matrix.
A n by p matrix of rank n.
If X is an n by p matrix with n ≤ p, then
lq computes the LQ decomposition of X. That is, X
= LQ' where Q is p by n with orthonormal columns
and L is n by n lower triangular with positive
L An n by n lower triangular matrix with
positive diagonal entries.
Q An n by p matrix with orthonormal columns.
The returned values satisfy
X = L %*% t(Q), up to
qr2 for the related QR decomposition.
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