ctpmv(3P) Sun Performance Library ctpmv(3P)NAMEctpmv - 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, com‐
plex *y, int incy);
void ctpmv_64(char uplo, char transa, char diag, long n, complex *a,
complex *y, long incy);
PURPOSEctpmv 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.
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 ctpmv(3P)
