dormhr man page on IRIX

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DORMHR(3F)							    DORMHR(3F)

NAME
     DORMHR - overwrite the general real M-by-N matrix C with	SIDE = 'L'
     SIDE = 'R' TRANS = 'N'

SYNOPSIS
     SUBROUTINE DORMHR( SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC,
			WORK, LWORK, INFO )

	 CHARACTER	SIDE, TRANS

	 INTEGER	IHI, ILO, INFO, LDA, LDC, LWORK, M, N

	 DOUBLE		PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK(
			LWORK )

PURPOSE
     DORMHR overwrites the general real M-by-N matrix C with 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).

ARGUMENTS
     SIDE    (input) CHARACTER*1
	     = 'L': apply Q or Q**T from the Left;
	     = 'R': apply Q or Q**T from the Right.

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

     M	     (input) INTEGER
	     The number of rows of the matrix C. M >= 0.

     N	     (input) INTEGER
	     The number of columns of the matrix C. N >= 0.

     ILO     (input) INTEGER
	     IHI     (input) 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	     (input) 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.

									Page 1

DORMHR(3F)							    DORMHR(3F)

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

     TAU     (input) 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	     (input/output) 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     (input) INTEGER
	     The leading dimension of the array C. LDC >= max(1,M).

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

     LWORK   (input) 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.

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

									Page 2

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