cunglq(l) [redhat man page]

CUNGLQ(l)								 )								 CUNGLQ(l)

NAME

       CUNGLQ - generate an M-by-N complex matrix Q with orthonormal rows,

SYNOPSIS

       SUBROUTINE CUNGLQ( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )

	   INTEGER	  INFO, K, LDA, LWORK, M, N

	   COMPLEX	  A( LDA, * ), TAU( * ), WORK( * )

PURPOSE

       CUNGLQ  generates  an  M-by-N  complex  matrix  Q  with orthonormal rows, which is defined as the first M rows of a product of K elementary
       reflectors of order N

	     Q	=  H(k)' . . . H(2)' H(1)'

       as returned by CGELQF.

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. N >= M.

       K       (input) INTEGER
	       The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.

       A       (input/output) COMPLEX array, dimension (LDA,N)
	       On entry, the i-th row must contain the vector which defines the elementary reflector H(i), for	i  =  1,2,...,k,  as  returned	by
	       CGELQF in the first k rows of its array argument A.  On exit, the M-by-N matrix Q.

       LDA     (input) INTEGER
	       The first dimension of the array A. LDA >= max(1,M).

       TAU     (input) COMPLEX array, dimension (K)
	       TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CGELQF.

       WORK    (workspace/output) COMPLEX array, dimension (LWORK)
	       On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

       LWORK   (input) INTEGER
	       The dimension of the array WORK. LWORK >= max(1,M).  For optimum performance LWORK >= M*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 i-th argument has an illegal value

LAPACK version 3.0						   15 June 2000 							 CUNGLQ(l)

ZUNGLQ(l)								 )								 ZUNGLQ(l)

NAME

       ZUNGLQ - generate an M-by-N complex matrix Q with orthonormal rows,

SYNOPSIS

       SUBROUTINE ZUNGLQ( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )

	   INTEGER	  INFO, K, LDA, LWORK, M, N

	   COMPLEX*16	  A( LDA, * ), TAU( * ), WORK( * )

PURPOSE

       ZUNGLQ  generates  an  M-by-N  complex  matrix  Q  with orthonormal rows, which is defined as the first M rows of a product of K elementary
       reflectors of order N

	     Q	=  H(k)' . . . H(2)' H(1)'

       as returned by ZGELQF.

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. N >= M.

       K       (input) INTEGER
	       The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.

       A       (input/output) COMPLEX*16 array, dimension (LDA,N)
	       On entry, the i-th row must contain the vector which defines the elementary reflector H(i), for	i  =  1,2,...,k,  as  returned	by
	       ZGELQF in the first k rows of its array argument A.  On exit, the M-by-N matrix Q.

       LDA     (input) INTEGER
	       The first dimension of the array A. LDA >= max(1,M).

       TAU     (input) COMPLEX*16 array, dimension (K)
	       TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGELQF.

       WORK    (workspace/output) COMPLEX*16 array, dimension (LWORK)
	       On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

       LWORK   (input) INTEGER
	       The dimension of the array WORK. LWORK >= max(1,M).  For optimum performance LWORK >= M*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 i-th argument has an illegal value

LAPACK version 3.0						   15 June 2000 							 ZUNGLQ(l)