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DTRMV(1)			 BLAS routine			      DTRMV(1)

NAME
       DTRMV  -	 performs one of the matrix-vector operations	x := A*x, or x
       := A'*x,

SYNOPSIS
       SUBROUTINE DTRMV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)

	   INTEGER					INCX,LDA,N

	   CHARACTER					DIAG,TRANS,UPLO

	   DOUBLE					PRECISION
							A(LDA,*),X(*)

PURPOSE
       DTRMV  performs one of the matrix-vector operations

       where  x	 is an n element vector and  A is an n by n unit, or non-unit,
       upper or lower triangular matrix.

ARGUMENTS
       UPLO   - CHARACTER*1.
	      On entry, UPLO specifies whether the matrix is an upper or lower
	      triangular matrix as follows:

	      UPLO = 'U' or 'u'	  A is an upper triangular matrix.

	      UPLO = 'L' or 'l'	  A is a lower triangular matrix.

	      Unchanged on exit.

       TRANS  - CHARACTER*1.
	      On  entry, TRANS specifies the operation to be performed as fol‐
	      lows:

	      TRANS = 'N' or 'n'   x := A*x.

	      TRANS = 'T' or 't'   x := A'*x.

	      TRANS = 'C' or 'c'   x := A'*x.

	      Unchanged on exit.

       DIAG   - CHARACTER*1.
	      On entry, DIAG specifies whether or not A is unit triangular  as
	      follows:

	      DIAG = 'U' or 'u'	  A is assumed to be unit triangular.

	      DIAG = 'N' or 'n'	  A is not assumed to be unit triangular.

	      Unchanged on exit.

       N      - INTEGER.
	      On  entry,  N specifies the order of the matrix A.  N must be at
	      least zero.  Unchanged on exit.

       A      - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
	      Before entry with	 UPLO = 'U' or 'u', the leading n by  n	 upper
	      triangular part of the array A must contain the upper triangular
	      matrix and the strictly lower triangular part of A is not refer‐
	      enced.   Before entry with UPLO = 'L' or 'l', the leading n by n
	      lower triangular part of the array A must contain the lower tri‐
	      angular  matrix  and  the strictly upper triangular part of A is
	      not referenced.  Note that when  DIAG = 'U' or 'u', the diagonal
	      elements	of  A are not referenced either, but are assumed to be
	      unity.  Unchanged on exit.

       LDA    - INTEGER.
	      On entry, LDA specifies the first dimension of A as declared  in
	      the  calling  (sub)  program.  LDA must be at least max( 1, n ).
	      Unchanged on exit.

       X      - DOUBLE PRECISION array of dimension at least
	      ( 1 + ( n - 1 )*abs( INCX ) ).  Before  entry,  the  incremented
	      array X must contain the n element vector x. On exit, X is over‐
	      written with the tranformed vector x.

       INCX   - INTEGER.
	      On entry, INCX specifies the increment for the  elements	of  X.
	      INCX must not be zero.  Unchanged on exit.

FURTHER DETAILS
       Level 2 Blas routine.

       -- Written on 22-October-1986.
	  Jack Dongarra, Argonne National Lab.
	  Jeremy Du Croz, Nag Central Office.
	  Sven Hammarling, Nag Central Office.
	  Richard Hanson, Sandia National Labs.

BLAS routine			 November 2008			      DTRMV(1)
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