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dormhr.f(3)				      LAPACK				      dormhr.f(3)

NAME
       dormhr.f -

SYNOPSIS
   Functions/Subroutines
       subroutine dormhr (SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
	   DORMHR

Function/Subroutine Documentation
   subroutine dormhr (characterSIDE, characterTRANS, integerM, integerN, integerILO, integerIHI,
       double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU,
       double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK,
       integerLWORK, integerINFO)
       DORMHR

       Purpose:

	    DORMHR 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 of order nq, with nq = m if
	    SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of
	    IHI-ILO elementary reflectors, as returned by DGEHRD:

	    Q = H(ilo) H(ilo+1) . . . H(ihi-1).

       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.

	   ILO

		     ILO is INTEGER

	   IHI

		     IHI is INTEGER

		     ILO and IHI must have the same values as in the previous call
		     of DGEHRD. Q is equal to the unit matrix except in the
		     submatrix Q(ilo+1:ihi,ilo+1:ihi).
		     If SIDE = 'L', then 1 <= ILO <= IHI <= M, if M > 0, and
		     ILO = 1 and IHI = 0, if M = 0;
		     if SIDE = 'R', then 1 <= ILO <= IHI <= N, if N > 0, and
		     ILO = 1 and IHI = 0, if N = 0.

	   A

		     A is DOUBLE PRECISION array, dimension
					  (LDA,M) if SIDE = 'L'
					  (LDA,N) if SIDE = 'R'
		     The vectors which define the elementary reflectors, as
		     returned by DGEHRD.

	   LDA

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

	   TAU

		     TAU is DOUBLE PRECISION array, dimension
					  (M-1) if SIDE = 'L'
					  (N-1) if SIDE = 'R'
		     TAU(i) must contain the scalar factor of the elementary
		     reflector H(i), as returned by DGEHRD.

	   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 178 of file dormhr.f.

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

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