.TH "BLAS/SRC/zgemmtr.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
BLAS/SRC/zgemmtr.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBzgemmtr\fP (uplo, transa, transb, n, k, alpha, a, lda, b, ldb, beta, c, ldc)"
.br
.RI "\fBZGEMMTR\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "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)"

.PP
\fBZGEMMTR\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> 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\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
!>          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\&.
!> 
.fi
.PP
 
.br
\fITRANSA\fP 
.PP
.nf
!>          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\&.
!> 
.fi
.PP
.br
\fITRANSB\fP 
.PP
.nf
!>          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\&.
!> 
.fi
.PP
.br
\fIN\fP 
.PP
.nf
!>          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\&.
!> 
.fi
.PP
.br
\fIK\fP 
.PP
.nf
!>          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\&.
!> 
.fi
.PP
.br
\fIALPHA\fP 
.PP
.nf
!>          ALPHA is COMPLEX*16\&.
!>           On entry, ALPHA specifies the scalar alpha\&.
!> 
.fi
.PP
.br
\fIA\fP 
.PP
.nf
!>          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\&.
!> 
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
!>          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 )\&.
!> 
.fi
.PP
.br
\fIB\fP 
.PP
.nf
!>          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\&.
!> 
.fi
.PP
.br
\fILDB\fP 
.PP
.nf
!>          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 )\&.
!> 
.fi
.PP
.br
\fIBETA\fP 
.PP
.nf
!>          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\&.
!> 
.fi
.PP
.br
\fIC\fP 
.PP
.nf
!>          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 )\&.
!> 
.fi
.PP
.br
\fILDC\fP 
.PP
.nf
!>          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 )\&.
!> 
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Martin Koehler 
.RE
.PP
\fBFurther Details:\fP
.RS 4

.PP
.nf
!>
!>  Level 3 Blas routine\&.
!>
!>  -- Written on 19-July-2023\&.
!>     Martin Koehler, MPI Magdeburg
!> 
.fi
.PP
 
.RE
.PP

.PP
Definition at line \fB189\fP of file \fBzgemmtr\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.