BLAS/SRC/zgemmtr.f(3)      Library Functions Manual      BLAS/SRC/zgemmtr.f(3)

NAME
       BLAS/SRC/zgemmtr.f

SYNOPSIS
   Functions/Subroutines
       subroutine zgemmtr (uplo, transa, transb, n, k, alpha, a, lda, b, ldb,
           beta, c, ldc)
           ZGEMMTR

Function/Subroutine Documentation
   subroutine zgemmtr (character uplo, character transa, character transb,
       integer n, integer k, complex*16 alpha, complex*16, dimension(lda,*) a,
       integer lda, complex*16, dimension(ldb,*) b, integer ldb, complex*16
       beta, complex*16, dimension(ldc,*) c, integer ldc)
       ZGEMMTR

       Purpose:


           !>
           !> ZGEMMTR  performs one of the matrix-matrix operations
           !>
           !>    C := alpha*op( A )*op( B ) + beta*C,
           !>
           !> where  op( X ) is one of
           !>
           !>    op( X ) = X   or   op( X ) = X**T,
           !>
           !> alpha and beta are scalars, and A, B and C are matrices, with op( A )
           !> an n by k matrix,  op( B )  a  k by n matrix and  C an n by n matrix.
           !> Thereby, the routine only accesses and updates the upper or lower
           !> triangular part of the result matrix C. This behaviour can be used if
           !> the resulting matrix C is known to be Hermitian or symmetric.
           !>

       Parameters
           UPLO

           !>          UPLO is CHARACTER*1
           !>           On entry, UPLO specifies whether the lower or the upper
           !>           triangular part of C is access and updated.
           !>
           !>              UPLO = 'L' or 'l', the lower triangular part of C is used.
           !>
           !>              UPLO = 'U' or 'u', the upper triangular part of C is used.
           !>

           TRANSA

           !>          TRANSA is CHARACTER*1
           !>           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**T.
           !>
           !>              TRANSA = 'C' or 'c',  op( A ) = A**H.
           !>

           TRANSB

           !>          TRANSB is CHARACTER*1
           !>           On entry, TRANSB specifies the form of op( B ) to be used in
           !>           the matrix multiplication as follows:
           !>
           !>              TRANSB = 'N' or 'n',  op( B ) = B.
           !>
           !>              TRANSB = 'T' or 't',  op( B ) = B**T.
           !>
           !>              TRANSB = 'C' or 'c',  op( B ) = B**H.
           !>

           N

           !>          N is INTEGER
           !>           On entry,  N specifies the number of rows and columns of
           !>           the matrix C, the number of columns of op(B) and the number
           !>           of rows of op(A).  N must be at least zero.
           !>

           K

           !>          K is INTEGER
           !>           On entry,  K  specifies  the number of columns of the matrix
           !>           op( A ) and the number of rows of the matrix op( B ). K must
           !>           be at least  zero.
           !>

           ALPHA

           !>          ALPHA is COMPLEX*16.
           !>           On entry, ALPHA specifies the scalar alpha.
           !>

           A

           !>          A is COMPLEX*16 array, dimension ( LDA, ka ), where ka is
           !>           k  when  TRANSA = 'N' or 'n',  and is  n  otherwise.
           !>           Before entry with  TRANSA = 'N' or 'n',  the leading  n by k
           !>           part of the array  A  must contain the matrix  A,  otherwise
           !>           the leading  k by m  part of the array  A  must contain  the
           !>           matrix A.
           !>

           LDA

           !>          LDA is INTEGER
           !>           On entry, LDA specifies the first dimension of A as declared
           !>           in the calling (sub) program. When  TRANSA = 'N' or 'n' then
           !>           LDA must be at least  max( 1, n ), otherwise  LDA must be at
           !>           least  max( 1, k ).
           !>

           B

           !>          B is COMPLEX*16 array, dimension ( LDB, kb ), where kb is
           !>           n  when  TRANSB = 'N' or 'n',  and is  k  otherwise.
           !>           Before entry with  TRANSB = 'N' or 'n',  the leading  k by n
           !>           part of the array  B  must contain the matrix  B,  otherwise
           !>           the leading  n by k  part of the array  B  must contain  the
           !>           matrix B.
           !>

           LDB

           !>          LDB is INTEGER
           !>           On entry, LDB specifies the first dimension of B as declared
           !>           in the calling (sub) program. When  TRANSB = 'N' or 'n' then
           !>           LDB must be at least  max( 1, k ), otherwise  LDB must be at
           !>           least  max( 1, n ).
           !>

           BETA

           !>          BETA is COMPLEX*16.
           !>           On entry,  BETA  specifies the scalar  beta.  When  BETA  is
           !>           supplied as zero then C need not be set on input.
           !>

           C

           !>          C is COMPLEX*16 array, dimension ( LDC, N )
           !>           Before entry, the leading  n by n  part of the array  C must
           !>           contain the matrix  C,  except when  beta  is zero, in which
           !>           case C need not be set on entry.
           !>           On exit, the upper or lower triangular part of the matrix
           !>           C  is overwritten by the n by n matrix
           !>           ( alpha*op( A )*op( B ) + beta*C ).
           !>

           LDC

           !>          LDC is INTEGER
           !>           On entry, LDC specifies the first dimension of C as declared
           !>           in  the  calling  (sub)  program.   LDC  must  be  at  least
           !>           max( 1, n ).
           !>

       Author
           Martin Koehler

       Further Details:


           !>
           !>  Level 3 Blas routine.
           !>
           !>  -- Written on 19-July-2023.
           !>     Martin Koehler, MPI Magdeburg
           !>

       Definition at line 189 of file zgemmtr.f.

Author
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LAPACK                          Version 3.12.0           BLAS/SRC/zgemmtr.f(3)