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

.in +1c
.ti -1c
.RI "subroutine \fBcgemm\fP (transa, transb, m, n, k, alpha, a, lda, b, ldb, beta, c, ldc)"
.br
.RI "\fBCGEMM\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine cgemm (character transa, character transb, integer m, integer n, integer k, complex alpha, complex, dimension(lda,*) a, integer lda, complex, dimension(ldb,*) b, integer ldb, complex beta, complex, dimension(ldc,*) c, integer ldc)"

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

.PP
.nf
 CGEMM  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   or   op( X ) = X**H,

 alpha and beta are scalars, and A, B and C are matrices, with op( A )
 an m by k matrix,  op( B )  a  k by n matrix and  C an m by n matrix\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\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
\fIM\fP 
.PP
.nf
          M is INTEGER
           On entry,  M  specifies  the number  of rows  of the  matrix
           op( A )  and of the  matrix  C\&.  M  must  be at least  zero\&.
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
           On entry,  N  specifies the number  of columns of the matrix
           op( B ) and the number of columns of the matrix C\&. 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
           On entry, ALPHA specifies the scalar alpha\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          A is COMPLEX array, dimension ( LDA, ka ), where ka is
           k  when  TRANSA = 'N' or 'n',  and is  m  otherwise\&.
           Before entry with  TRANSA = 'N' or 'n',  the leading  m 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, m ), otherwise  LDA must be at
           least  max( 1, k )\&.
.fi
.PP
.br
\fIB\fP 
.PP
.nf
          B is COMPLEX 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
           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 array, dimension ( LDC, N )
           Before entry, the leading  m 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 array  C  is overwritten by the  m 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, m )\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP
\fBFurther Details:\fP
.RS 4

.PP
.nf
  Level 3 Blas routine\&.

  -- Written on 8-February-1989\&.
     Jack Dongarra, Argonne National Laboratory\&.
     Iain Duff, AERE Harwell\&.
     Jeremy Du Croz, Numerical Algorithms Group Ltd\&.
     Sven Hammarling, Numerical Algorithms Group Ltd\&.
.fi
.PP
 
.RE
.PP

.PP
Definition at line \fB186\fP of file \fBcgemm\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.