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dtpmv(3P)		    Sun Performance Library		     dtpmv(3P)

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

SYNOPSIS
       SUBROUTINE DTPMV(UPLO, TRANSA, DIAG, N, A, Y, INCY)

       CHARACTER * 1 UPLO, TRANSA, DIAG
       INTEGER N, INCY
       DOUBLE PRECISION A(*), Y(*)

       SUBROUTINE DTPMV_64(UPLO, TRANSA, DIAG, N, A, Y, INCY)

       CHARACTER * 1 UPLO, TRANSA, DIAG
       INTEGER*8 N, INCY
       DOUBLE PRECISION A(*), Y(*)

   F95 INTERFACE
       SUBROUTINE TPMV(UPLO, [TRANSA], DIAG, [N], A, Y, [INCY])

       CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
       INTEGER :: N, INCY
       REAL(8), DIMENSION(:) :: A, Y

       SUBROUTINE TPMV_64(UPLO, [TRANSA], DIAG, [N], A, Y, [INCY])

       CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
       INTEGER(8) :: N, INCY
       REAL(8), DIMENSION(:) :: A, Y

   C INTERFACE
       #include <sunperf.h>

       void dtpmv(char uplo, char transa, char diag, int n, double *a,	double
		 *y, int incy);

       void  dtpmv_64(char  uplo,  char	 transa, char diag, long n, double *a,
		 double *y, long incy);

PURPOSE
       dtpmv performs one of the matrix-vector operations x := A*x,  or	 x  :=
       A'*x,  where x is an n element vector and  A is an n by n unit, or non-
       unit, upper or lower triangular matrix, supplied in packed form.

ARGUMENTS
       UPLO (input)
		 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.

       TRANSA (input)
		 On  entry,  TRANSA specifies the operation to be performed as
		 follows:

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

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

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

		 Unchanged on exit.

		 TRANSA is defaulted to 'N' for F95 INTERFACE.

       DIAG (input)
		 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 (input)
		 On  entry,  N	specifies  the order of the matrix A.  N >= 0.
		 Unchanged on exit.

       A (input)
		 ( ( n*( n + 1 ) )/2 ).	 Before entry with  UPLO = 'U' or 'u',
		 the  array  A must contain the upper triangular matrix packed
		 sequentially, column by column, so that A( 1 ) contains a( 1,
		 1  ),	A(  2  )  and  A(  3 ) contain a( 1, 2 ) and a( 2, 2 )
		 respectively, and so on.  Before entry with  UPLO  =  'L'  or
		 'l',  the  array  A  must contain the lower triangular matrix
		 packed sequentially, column by column, so that A(  1  )  con‐
		 tains	a(  1, 1 ), A( 2 ) and A( 3 ) contain a( 2, 1 ) and a(
		 3, 1 ) respectively, and so on.  Note that when  DIAG	=  'U'
		 or  'u',  the	diagonal elements of A are not referenced, but
		 are assumed to be unity.  Unchanged on exit.

       Y (input/output)
		 ( 1 + ( n - 1 )*abs( INCY ) ).	 Before entry, the incremented
		 array	Y  must	 contain the n element vector x. On exit, Y is
		 overwritten with the tranformed vector x.

       INCY (input)
		 On entry, INCY specifies the increment for the elements of Y.
		 INCY <> 0.  Unchanged on exit.

				  6 Mar 2009			     dtpmv(3P)
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