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RedHat 9 (Linux i386) - man page for sormhr (redhat section l)

SORMHR(l)					)					SORMHR(l)

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

SYNOPSIS
       SUBROUTINE SORMHR( 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

	   REAL 	  A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE
       SORMHR 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
       SGEHRD:

       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  SGEHRD.  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) REAL array, dimension
	       (LDA,M)	if  SIDE = 'L' (LDA,N) if SIDE = 'R' The vectors which define the elemen-
	       tary reflectors, as returned by SGEHRD.

       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) REAL 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 SGEHRD.

       C       (input/output) REAL 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) REAL 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.

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

LAPACK version 3.0			   15 June 2000 				SORMHR(l)


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