dtrmv


NAME

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


SYNOPSIS

  SUBROUTINE DTRMV( UPLO, TRANSA, DIAG, N, A, LDA, Y, INCY)
  CHARACTER * 1 UPLO, TRANSA, DIAG
  INTEGER N, LDA, INCY
  DOUBLE PRECISION A(LDA,*), Y(*)
 
  SUBROUTINE DTRMV_64( UPLO, TRANSA, DIAG, N, A, LDA, Y, INCY)
  CHARACTER * 1 UPLO, TRANSA, DIAG
  INTEGER*8 N, LDA, INCY
  DOUBLE PRECISION A(LDA,*), Y(*)
 

F95 INTERFACE

  SUBROUTINE TRMV( UPLO, [TRANSA], DIAG, [N], A, [LDA], Y, [INCY])
  CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
  INTEGER :: N, LDA, INCY
  REAL(8), DIMENSION(:) :: Y
  REAL(8), DIMENSION(:,:) :: A
 
  SUBROUTINE TRMV_64( UPLO, [TRANSA], DIAG, [N], A, [LDA], Y, [INCY])
  CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
  INTEGER(8) :: N, LDA, INCY
  REAL(8), DIMENSION(:) :: Y
  REAL(8), DIMENSION(:,:) :: A
 

C INTERFACE

#include <sunperf.h>

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

void dtrmv_64(char uplo, char transa, char diag, long n, double *a, long lda, double *y, long incy);


PURPOSE

dtrmv 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.


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.

* 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)
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 referenced. Before entry with UPLO = 'L' or 'l', the leading n by n lower triangular part of the array A must contain the lower triangular 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 (input)
On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA >= max( 1, n ). 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.