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cung2l(3P)		    Sun Performance Library		    cung2l(3P)

NAME
       cung2l - generate an m by n complex matrix Q with orthonormal columns,

SYNOPSIS
       SUBROUTINE CUNG2L(M, N, K, A, LDA, TAU, WORK, INFO)

       COMPLEX A(LDA,*), TAU(*), WORK(*)
       INTEGER M, N, K, LDA, INFO

       SUBROUTINE CUNG2L_64(M, N, K, A, LDA, TAU, WORK, INFO)

       COMPLEX A(LDA,*), TAU(*), WORK(*)
       INTEGER*8 M, N, K, LDA, INFO

   F95 INTERFACE
       SUBROUTINE UNG2L(M, [N], [K], A, [LDA], TAU, [WORK], [INFO])

       COMPLEX, DIMENSION(:) :: TAU, WORK
       COMPLEX, DIMENSION(:,:) :: A
       INTEGER :: M, N, K, LDA, INFO

       SUBROUTINE UNG2L_64(M, [N], [K], A, [LDA], TAU, [WORK], [INFO])

       COMPLEX, DIMENSION(:) :: TAU, WORK
       COMPLEX, DIMENSION(:,:) :: A
       INTEGER(8) :: M, N, K, LDA, INFO

   C INTERFACE
       #include <sunperf.h>

       void cung2l(int m, int n, int k, complex *a, int lda, complex *tau, int
		 *info);

       void cung2l_64(long m, long n, long k, complex *a,  long	 lda,  complex
		 *tau, long *info);

PURPOSE
       cung2l L generates an m by n complex 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 CGEQLF.

ARGUMENTS
       M (input) The number of rows of the matrix Q. M >= 0.

       N (input) The number of columns of the matrix Q. M >= N >= 0.

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

       A (input/output)
		 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 CGEQLF in the last k columns of its  array	 argu‐
		 ment A.  On exit, the m-by-n matrix Q.

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

       TAU (input)
		 TAU(i)	 must  contain	the  scalar  factor  of the elementary
		 reflector H(i), as returned by CGEQLF.

       WORK (workspace)
		 dimension(N)

       INFO (output)
		 = 0: successful exit
		 < 0: if INFO = -i, the i-th argument has an illegal value

				  6 Mar 2009			    cung2l(3P)
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