ztpmv (3p)

Name

ztpmv - vector operations x := A*x, or x := A'*x, or x := conjg( A' )*x

Synopsis

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

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

SUBROUTINE ZTPMV_64(UPLO, TRANSA, DIAG, N, A, Y, INCY)

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

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

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




C INTERFACE
#include <sunperf.h>

void ztpmv(char uplo, char transa, char diag, int n, doublecomplex  *a,
doublecomplex *y, int incy);

void  ztpmv_64(char uplo, char transa, char diag, long n, doublecomplex
*a, doublecomplex *y, long incy);

Description

Oracle Solaris Studio Performance Library                            ztpmv(3P)



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


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

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

       SUBROUTINE ZTPMV_64(UPLO, TRANSA, DIAG, N, A, Y, INCY)

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

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

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




   C INTERFACE
       #include <sunperf.h>

       void ztpmv(char uplo, char transa, char diag, int n, doublecomplex  *a,
                 doublecomplex *y, int incy);

       void  ztpmv_64(char uplo, char transa, char diag, long n, doublecomplex
                 *a, doublecomplex *y, long incy);



PURPOSE
       ztpmv 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  con-
                 tain  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 ele-
                 ment  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                         ztpmv(3P)