cungl2(l) [redhat man page]

CUNGL2(l)								 )								 CUNGL2(l)

NAME

       CUNGL2 - generate an m-by-n complex matrix Q with orthonormal rows,

SYNOPSIS

       SUBROUTINE CUNGL2( M, N, K, A, LDA, TAU, WORK, INFO )

	   INTEGER	  INFO, K, LDA, M, N

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

PURPOSE

       CUNGL2  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) COMPLEX array, dimension (M)

       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 							 CUNGL2(l)

ZUNGL2(l)								 )								 ZUNGL2(l)

NAME

       ZUNGL2 - generate an m-by-n complex matrix Q with orthonormal rows,

SYNOPSIS

       SUBROUTINE ZUNGL2( M, N, K, A, LDA, TAU, WORK, INFO )

	   INTEGER	  INFO, K, LDA, M, N

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

PURPOSE

       ZUNGL2  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) COMPLEX*16 array, dimension (M)

       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 							 ZUNGL2(l)