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dopmtr(3P)		    Sun Performance Library		    dopmtr(3P)

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 * 1 SIDE, UPLO, TRANS
       INTEGER M, N, LDC, INFO
       DOUBLE PRECISION AP(*), TAU(*), C(LDC,*), WORK(*)

       SUBROUTINE DOPMTR_64(SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK,
	     INFO)

       CHARACTER * 1 SIDE, UPLO, TRANS
       INTEGER*8 M, N, LDC, INFO
       DOUBLE PRECISION AP(*), TAU(*), C(LDC,*), WORK(*)

   F95 INTERFACE
       SUBROUTINE OPMTR(SIDE, UPLO, [TRANS], [M], [N], AP, TAU, C, [LDC],
	      [WORK], [INFO])

       CHARACTER(LEN=1) :: SIDE, UPLO, TRANS
       INTEGER :: M, N, LDC, INFO
       REAL(8), DIMENSION(:) :: AP, TAU, WORK
       REAL(8), DIMENSION(:,:) :: C

       SUBROUTINE OPMTR_64(SIDE, UPLO, [TRANS], [M], [N], AP, TAU, C, [LDC],
	      [WORK], [INFO])

       CHARACTER(LEN=1) :: SIDE, UPLO, TRANS
       INTEGER(8) :: M, N, LDC, INFO
       REAL(8), DIMENSION(:) :: AP, TAU, WORK
       REAL(8), DIMENSION(:,:) :: C

   C INTERFACE
       #include <sunperf.h>

       void dopmtr(char side, char uplo, char trans, int m, int n, double *ap,
		 double *tau, double *c, int ldc, int *info);

       void dopmtr_64(char side, char uplo, char trans, long m, long n, double
		 *ap, double *tau, double *c, long ldc, long *info);

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 ele‐
       mentary reflectors, as returned by DSPTRD 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)
		 = 'L': apply Q or Q**T from the Left;
		 = 'R': apply Q or Q**T from the Right.

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

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

		 TRANS is defaulted to 'N' for F95 INTERFACE.

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

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

       AP (input)
		 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)
		 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 DSPTRD.

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

       WORK (workspace)
		 dimension
		 (N) if SIDE = 'L'
		 (M) if SIDE = 'R'

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

				  6 Mar 2009			    dopmtr(3P)
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