NAME

ctpmv - perform one of the matrix-vector operations x := A*x, or x := A'*x, or x := conjg( A' )*x

SYNOPSIS

  SUBROUTINE CTPMV( UPLO, TRANSA, DIAG, N, A, Y, INCY)
  CHARACTER * 1 UPLO, TRANSA, DIAG
  COMPLEX A(*), Y(*)
  INTEGER N, INCY

  SUBROUTINE CTPMV_64( UPLO, TRANSA, DIAG, N, A, Y, INCY)
  CHARACTER * 1 UPLO, TRANSA, DIAG
  COMPLEX A(*), Y(*)
  INTEGER*8 N, INCY

F95 INTERFACE

  SUBROUTINE TPMV( UPLO, [TRANSA], DIAG, [N], A, Y, [INCY])
  CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
  COMPLEX, DIMENSION(:) :: A, Y
  INTEGER :: N, INCY

  SUBROUTINE TPMV_64( UPLO, [TRANSA], DIAG, [N], A, Y, [INCY])
  CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
  COMPLEX, DIMENSION(:) :: A, Y
  INTEGER(8) :: N, INCY

C INTERFACE

#include <sunperf.h>

void ctpmv(char uplo, char transa, char diag, int n, complex *a, complex *y, int incy);

void ctpmv_64(char uplo, char transa, char diag, long n, complex *a, complex *y, long incy);

PURPOSE

ctpmv performs one of the matrix-vector operations x := A*x, or x := A'*x, or x := conjg( 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 : = conjg( 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)
( ( 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 ) contains 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.