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# cgemm.f

Section: LAPACK (3)
Updated: Thu Jun 23 2016
Index

cgemm.f -

## SYNOPSIS

### Functions/Subroutines

subroutine CGEMM (TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
CGEMM

## Function Documentation

### subroutine CGEMM (CHARACTERTRANSA, CHARACTERTRANSB, INTEGERM, INTEGERN, INTEGERK, COMPLEXALPHA, COMPLEX,dimension(lda,*)A, INTEGERLDA, COMPLEX,dimension(ldb,*)B, INTEGERLDB, COMPLEXBETA, COMPLEX,dimension(ldc,*)C, INTEGERLDC)

CGEMM Purpose:

` 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. `

Parameters:

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. `

M

`          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. `

N

`          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. `

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           On entry, ALPHA specifies the scalar alpha. `

A

`          A is COMPLEX array of 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. `

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, m ), otherwise  LDA must be at           least  max( 1, k ). `

B

`          B is COMPLEX array of 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           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 array of 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 ). `

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, m ). `

Author:

Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:

November 2011

Further Details:

`  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. `

Definition at line 188 of file cgemm.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Index

NAME
SYNOPSIS
Functions/Subroutines
Function Documentation
subroutine CGEMM (CHARACTERTRANSA, CHARACTERTRANSB, INTEGERM, INTEGERN, INTEGERK, COMPLEXALPHA, COMPLEX,dimension(lda,*)A, INTEGERLDA, COMPLEX,dimension(ldb,*)B, INTEGERLDB, COMPLEXBETA, COMPLEX,dimension(ldc,*)C, INTEGERLDC)
Author

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