ztrsv (3p)

Name

ztrsv - solve one of the systems of equations A*x = b, or A'*x = b, or conjg(A')*x = b

Synopsis

SUBROUTINE ZTRSV(UPLO, TRANSA, DIAG, N, A, LDA, Y, INCY)

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

SUBROUTINE ZTRSV_64(UPLO, TRANSA, DIAG, N, A, LDA, Y, INCY)

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




F95 INTERFACE
SUBROUTINE TRSV(UPLO, TRANSA, DIAG, N, A, LDA, Y, INCY)

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

SUBROUTINE TRSV_64(UPLO, TRANSA, DIAG, N, A, LDA, Y, INCY)

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




C INTERFACE
#include <sunperf.h>

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

void  ztrsv_64(char uplo, char transa, char diag, long n, doublecomplex
*a, long lda, doublecomplex *y, long incy);

Description

Oracle Solaris Studio Performance Library                            ztrsv(3P)



NAME
       ztrsv - solve one of the systems of equations  A*x = b, or A'*x = b, or
       conjg(A')*x = b


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

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

       SUBROUTINE ZTRSV_64(UPLO, TRANSA, DIAG, N, A, LDA, Y, INCY)

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




   F95 INTERFACE
       SUBROUTINE TRSV(UPLO, TRANSA, DIAG, N, A, LDA, Y, INCY)

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

       SUBROUTINE TRSV_64(UPLO, TRANSA, DIAG, N, A, LDA, Y, INCY)

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




   C INTERFACE
       #include <sunperf.h>

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

       void  ztrsv_64(char uplo, char transa, char diag, long n, doublecomplex
                 *a, long lda, doublecomplex *y, long incy);



PURPOSE
       ztrsv solves one of the systems of equations A*x = b, or A'*x =  b,  or
       conjg(  A' )*x = b where b and x are n element vectors and A is an n by
       n unit, or non-unit, upper or lower triangular matrix.

       No test for singularity or near-singularity is included  in  this  rou-
       tine. Such tests must be performed before calling this routine.


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 equations to be solved as fol-
                 lows:

                 TRANSA = 'N' or 'n'   A*x = b.

                 TRANSA = 'T' or 't'   A'*x = b.

                 TRANSA = 'C' or 'c'   conjg( A' )*x = b.

                 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 con-
                 tain the lower triangular matrix and the strictly upper  tri-
                 angular  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 right-hand side vector  b.
                 On exit, Y is overwritten with the solution vector x.


       INCY (input)
                 On entry, INCY specifies the increment for the elements of Y.
                 INCY <> 0.  Unchanged on exit.




                                  7 Nov 2015                         ztrsv(3P)