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Updated: June 2017
 
 

ztrmm (3p)

Name

ztrmm - matrix operations B := alpha*op( A )*B, or B := alpha*B*op( A ) where alpha is a scalar, B is an m by n matrix, A is a unit, or non-unit, upper or lower triangular matrix and op( A ) is one of op( A ) = A or op( A ) = A' or op( A ) = conjg( A' )

Synopsis

SUBROUTINE ZTRMM(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B,
LDB)

CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
DOUBLE COMPLEX ALPHA
DOUBLE COMPLEX A(LDA,*), B(LDB,*)
INTEGER M, N, LDA, LDB

SUBROUTINE ZTRMM_64(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B,
LDB)

CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
DOUBLE COMPLEX ALPHA
DOUBLE COMPLEX A(LDA,*), B(LDB,*)
INTEGER*8 M, N, LDA, LDB




F95 INTERFACE
SUBROUTINE TRMM(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA,
B, LDB)

CHARACTER(LEN=1) :: SIDE, UPLO, TRANSA, DIAG
COMPLEX(8) :: ALPHA
COMPLEX(8), DIMENSION(:,:) :: A, B
INTEGER :: M, N, LDA, LDB

SUBROUTINE TRMM_64(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A,
LDA, B, LDB)

CHARACTER(LEN=1) :: SIDE, UPLO, TRANSA, DIAG
COMPLEX(8) :: ALPHA
COMPLEX(8), DIMENSION(:,:) :: A, B
INTEGER(8) :: M, N, LDA, LDB




C INTERFACE
#include <sunperf.h>

void ztrmm(char side, char uplo, char transa, char diag, int m, int  n,
doublecomplex  *alpha,  doublecomplex *a, int lda, doublecom-
plex *b, int ldb);

void ztrmm_64(char side, char uplo, char transa,  char  diag,  long  m,
long  n,  doublecomplex  *alpha,  doublecomplex *a, long lda,
doublecomplex *b, long ldb);

Description

Oracle Solaris Studio Performance Library                            ztrmm(3P)



NAME
       ztrmm  -  perform  one of the matrix-matrix operations B := alpha*op( A
       )*B, or B := alpha*B*op( A ) where alpha is a scalar, B is an  m  by  n
       matrix,  A is a unit, or non-unit, upper or lower triangular matrix and
       op( A ) is one of op( A ) = A or op( A ) = A' or op( A ) = conjg( A' )


SYNOPSIS
       SUBROUTINE ZTRMM(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B,
             LDB)

       CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
       DOUBLE COMPLEX ALPHA
       DOUBLE COMPLEX A(LDA,*), B(LDB,*)
       INTEGER M, N, LDA, LDB

       SUBROUTINE ZTRMM_64(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B,
             LDB)

       CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
       DOUBLE COMPLEX ALPHA
       DOUBLE COMPLEX A(LDA,*), B(LDB,*)
       INTEGER*8 M, N, LDA, LDB




   F95 INTERFACE
       SUBROUTINE TRMM(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA,
              B, LDB)

       CHARACTER(LEN=1) :: SIDE, UPLO, TRANSA, DIAG
       COMPLEX(8) :: ALPHA
       COMPLEX(8), DIMENSION(:,:) :: A, B
       INTEGER :: M, N, LDA, LDB

       SUBROUTINE TRMM_64(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A,
              LDA, B, LDB)

       CHARACTER(LEN=1) :: SIDE, UPLO, TRANSA, DIAG
       COMPLEX(8) :: ALPHA
       COMPLEX(8), DIMENSION(:,:) :: A, B
       INTEGER(8) :: M, N, LDA, LDB




   C INTERFACE
       #include <sunperf.h>

       void ztrmm(char side, char uplo, char transa, char diag, int m, int  n,
                 doublecomplex  *alpha,  doublecomplex *a, int lda, doublecom-
                 plex *b, int ldb);

       void ztrmm_64(char side, char uplo, char transa,  char  diag,  long  m,
                 long  n,  doublecomplex  *alpha,  doublecomplex *a, long lda,
                 doublecomplex *b, long ldb);



PURPOSE
       ztrmm performs one of the matrix-matrix operations  B  :=  alpha*op(  A
       )*B,  or  B := alpha*B*op( A )  where alpha is a scalar, B is an m by n
       matrix, A is a unit, or non-unit, upper or lower triangular matrix  and
       op(  A ) is one of   op( A ) = A or op( A ) = A' or op( A ) = conjg( A'
       )


ARGUMENTS
       SIDE (input)
                 On entry,  SIDE specifies whether  op( A ) multiplies B  from
                 the left or right as follows:

                 SIDE = 'L' or 'l'   B := alpha*op( A )*B.

                 SIDE = 'R' or 'r'   B := alpha*B*op( A ).

                 Unchanged on exit.


       UPLO (input)
                 On  entry, UPLO specifies whether the matrix A 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 form of op( A ) to be used  in
                 the matrix multiplication as follows:

                 TRANSA = 'N' or 'n'   op( A ) = A.

                 TRANSA = 'T' or 't'   op( A ) = A'.

                 TRANSA = 'C' or 'c'   op( A ) = conjg( A' ).

                 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.


       M (input)
                 On entry, M specifies the number of rows of B. M >= 0.
                 Unchanged on exit.


       N (input)
                 On entry, N specifies the number of columns of B. N >= 0.
                 Unchanged on exit.


       ALPHA (input)
                 On entry, ALPHA specifies the scalar  alpha.  When  alpha  is
                 zero  then  A  is not referenced and B need not be set before
                 entry.
                 Unchanged on exit.


       A (input)
                 COMPLEX*16 array of DIMENSION ( LDA, k ), where k is  m  when
                 SIDE = 'L' or 'l'  and is  n  when  SIDE = 'R' or 'r'.

                 Before  entry  with  UPLO = 'U' or 'u',  the  leading  k by k
                 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  k by  k
                 lower  triangular part of the array  A must contain the lower
                 triangular matrix  and the strictly upper triangular 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.  When SIDE = 'L' or 'l' then
                 LDA >= max(1,M), when SIDE = 'R' or 'r' then LDA >= max(1,N).
                 Unchanged on exit.


       B (input/output)
                 COMPLEX*16  array of DIMENSION ( LDB, n ).  Before entry, the
                 leading M by N part of the array B must contain the matrix B,
                 and on exit is overwritten by the transformed matrix.


       LDB (input)
                 On  entry, LDB specifies the first dimension of B as declared
                 in the calling subprogram.  LDB must be  at  least  max(1,M).
                 Unchanged on exit.




                                  7 Nov 2015                         ztrmm(3P)