LAPACK
3.4.2
LAPACK: Linear Algebra PACKage

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Functions/Subroutines  
subroutine  sorgql (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) 
SORGQL 
subroutine sorgql  (  integer  M, 
integer  N,  
integer  K,  
real, dimension( lda, * )  A,  
integer  LDA,  
real, dimension( * )  TAU,  
real, dimension( * )  WORK,  
integer  LWORK,  
integer  INFO  
) 
SORGQL
Download SORGQL + dependencies [TGZ] [ZIP] [TXT]SORGQL generates an MbyN 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 SGEQLF.
[in]  M  M is INTEGER The number of rows of the matrix Q. M >= 0. 
[in]  N  N is INTEGER The number of columns of the matrix Q. M >= N >= 0. 
[in]  K  K is INTEGER The number of elementary reflectors whose product defines the matrix Q. N >= K >= 0. 
[in,out]  A  A is REAL array, dimension (LDA,N) On entry, the (nk+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 MbyN matrix Q. 
[in]  LDA  LDA is INTEGER The first dimension of the array A. LDA >= max(1,M). 
[in]  TAU  TAU is REAL array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGEQLF. 
[out]  WORK  WORK is REAL array, dimension (MAX(1,LWORK)) On exit, if INFO = 0, WORK(1) returns the optimal LWORK. 
[in]  LWORK  LWORK is INTEGER The dimension of the array WORK. LWORK >= max(1,N). For optimum performance LWORK >= N*NB, where NB is the optimal blocksize. If LWORK = 1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA. 
[out]  INFO  INFO is INTEGER = 0: successful exit < 0: if INFO = i, the ith argument has an illegal value 
Definition at line 129 of file sorgql.f.