ctpmv (3p)

Name

ctpmv - 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);

Description

Oracle Solaris Studio Performance Library                            ctpmv(3P)



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,  com-
                 plex *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 ) 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.




                                  7 Nov 2015                         ctpmv(3P)