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

DOPMTR(l)					)					DOPMTR(l)

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

SYNOPSIS
       SUBROUTINE DOPMTR( SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO )

	   CHARACTER	  SIDE, TRANS, UPLO

	   INTEGER	  INFO, LDC, M, N

	   DOUBLE	  PRECISION AP( * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE
       DOPMTR 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 nq-1 elementary reflectors, as returned by DSP-
       TRD using packed storage:

       if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1);

       if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1).

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

       UPLO    (input) CHARACTER*1
	       =  'U':	Upper  triangular  packed storage used in previous call to DSPTRD; = 'L':
	       Lower triangular packed storage used in previous call to DSPTRD.

       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.

       AP      (input) DOUBLE PRECISION array, dimension
	       (M*(M+1)/2) if SIDE = 'L' (N*(N+1)/2) if SIDE = 'R' The vectors which  define  the
	       elementary  reflectors,	as returned by DSPTRD.	AP is modified by the routine but
	       restored on exit.

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

       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) DOUBLE PRECISION array, dimension
	       (N) if SIDE = 'L' (M) if SIDE = 'R'

       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 				DOPMTR(l)


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