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dormql.f(3)				      LAPACK				      dormql.f(3)

NAME
       dormql.f -

SYNOPSIS
   Functions/Subroutines
       subroutine dormql (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
	   DORMQL

Function/Subroutine Documentation
   subroutine dormql (characterSIDE, characterTRANS, integerM, integerN, integerK, double
       precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double
       precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK,
       integerLWORK, integerINFO)
       DORMQL

       Purpose:

	    DORMQL overwrites the general real M-by-N matrix C with

			    SIDE = 'L'	   SIDE = 'R'
	    TRANS = 'N':      Q * C	     C * Q
	    TRANS = 'T':      Q**T * C	     C * Q**T

	    where Q is a real orthogonal matrix defined as the product of k
	    elementary reflectors

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

	    as returned by DGEQLF. Q is of order M if SIDE = 'L' and of order N
	    if SIDE = 'R'.

       Parameters:
	   SIDE

		     SIDE is CHARACTER*1
		     = 'L': apply Q or Q**T from the Left;
		     = 'R': apply Q or Q**T from the Right.

	   TRANS

		     TRANS is CHARACTER*1
		     = 'N':  No transpose, apply Q;
		     = 'T':  Transpose, apply Q**T.

	   M

		     M is INTEGER
		     The number of rows of the matrix C. M >= 0.

	   N

		     N is INTEGER
		     The number of columns of the matrix C. N >= 0.

	   K

		     K is INTEGER
		     The number of elementary reflectors whose product defines
		     the matrix Q.
		     If SIDE = 'L', M >= K >= 0;
		     if SIDE = 'R', N >= K >= 0.

	   A

		     A is DOUBLE PRECISION array, dimension (LDA,K)
		     The i-th column must contain the vector which defines the
		     elementary reflector H(i), for i = 1,2,...,k, as returned by
		     DGEQLF in the last k columns of its array argument A.

	   LDA

		     LDA is INTEGER
		     The leading dimension of the array A.
		     If SIDE = 'L', LDA >= max(1,M);
		     if SIDE = 'R', LDA >= max(1,N).

	   TAU

		     TAU is DOUBLE PRECISION array, dimension (K)
		     TAU(i) must contain the scalar factor of the elementary
		     reflector H(i), as returned by DGEQLF.

	   C

		     C is DOUBLE PRECISION array, dimension (LDC,N)
		     On entry, the M-by-N matrix C.
		     On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q.

	   LDC

		     LDC is INTEGER
		     The leading dimension of the array C. LDC >= max(1,M).

	   WORK

		     WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK))
		     On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

	   LWORK

		     LWORK is INTEGER
		     The dimension of the array WORK.
		     If SIDE = 'L', LWORK >= max(1,N);
		     if SIDE = 'R', LWORK >= max(1,M).
		     For optimum performance LWORK >= N*NB if SIDE = 'L', and
		     LWORK >= M*NB if SIDE = 'R', 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

		     INFO is INTEGER
		     = 0:  successful exit
		     < 0:  if INFO = -i, the i-th argument had an illegal value

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 169 of file dormql.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2				 Tue Sep 25 2012			      dormql.f(3)
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