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template<typename T>
void org2l(integer *m, integer *n, integer *k, T *a, integer *lda, T *tau, T *work, integer *info)# ORG2L generates all or part of the orthogonal matrix Q from a QL factorization determined by sgeqlf.
Purpose:
ORG2L generates an m by n real matrix Q with orthonormal columns, which is defined as the last n columns of a product of k elementary reflectors of order m Q = H(k) . . . H(2) H(1) as returned by GEQLF.
- Parameters:
M – [in]
M is INTEGER
The number of rows of the matrix Q. M >= 0.
N – [in]
N is INTEGER
The number of columns of the matrix Q. M >= N >= 0.
K – [in]
K is INTEGER
The number of elementary reflectors whose product defines the matrix Q. N >= K >= 0.
A – [inout]
A is REAL array, dimension (LDA,N)
On entry, the (n-k+i)-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,…,k, as returned by SGEQLF in the last k columns of its array argument A.
On exit, the m by n matrix Q.LDA – [in]
LDA is INTEGER
The first dimension of the array A. LDA >= fla_max(1,M).
TAU – [in]
TAU is REAL array, dimension (K)
TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGEQLF.
WORK – [out] WORK is REAL array, dimension (N)
INFO – [out]
INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument has an illegal value