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

CUNMHR(l)					)					CUNMHR(l)

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

SYNOPSIS
       SUBROUTINE CUNMHR( 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

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

PURPOSE
       CUNMHR overwrites the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R'  TRANS	=
       'N': Q * C C * Q TRANS = 'C':	  Q**H * C	 C * Q**H

       where  Q  is a complex unitary 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
       CGEHRD:

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

ARGUMENTS
       SIDE    (input) CHARACTER*1
	       = 'L': apply Q or Q**H from the Left;
	       = 'R': apply Q or Q**H from the Right.

       TRANS   (input) CHARACTER*1
	       = 'N': apply Q  (No transpose)
	       = 'C': apply Q**H (Conjugate transpose)

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

       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) COMPLEX 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 CGEHRD.

       C       (input/output) COMPLEX array, dimension (LDC,N)
	       On entry, the M-by-N matrix C.  On exit, C is overwritten  by  Q*C  or  Q**H*C  or
	       C*Q**H or C*Q.

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

       WORK    (workspace/output) COMPLEX 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 				CUNMHR(l)


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