sorgql (l)  Linux Man Pages
sorgql: generates an MbyN real matrix Q with orthonormal columns,
NAME
SORGQL  generates an MbyN real matrix Q with orthonormal columns,SYNOPSIS
 SUBROUTINE SORGQL(
 M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
 INTEGER INFO, K, LDA, LWORK, M, N
 REAL A( LDA, * ), TAU( * ), WORK( * )
PURPOSE
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 MQ
as returned by SGEQLF.
ARGUMENTS
 M (input) INTEGER
 The number of rows of the matrix Q. M >= 0.
 N (input) INTEGER
 The number of columns of the matrix Q. M >= N >= 0.
 K (input) INTEGER
 The number of elementary reflectors whose product defines the matrix Q. N >= K >= 0.
 A (input/output) 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.
 LDA (input) INTEGER
 The first dimension of the array A. LDA >= max(1,M).
 TAU (input) REAL array, dimension (K)
 TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGEQLF.
 WORK (workspace/output) REAL array, dimension (MAX(1,LWORK))
 On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
 LWORK (input) 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.
 INFO (output) INTEGER

= 0: successful exit
< 0: if INFO = i, the ith argument has an illegal value