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AIX Version 4.3 Base Operating System and Extensions Technical Reference, Volume 2
SGEMM, DGEMM, CGEMM, or ZGEMM Subroutine
Purpose
Performs matrix-matrix operations on general matrices.
Library
BLAS Library (libblas.a)
FORTRAN Syntax
SUBROUTINE SGEMM(TRANSA, TRANSB, M, N, K,
ALPHA, A, LDA, B, LDB, BETA, C, LDC)
CHARACTER*1 TRANSA,TRANSB
INTEGER M,N,K,LDA,LDB,LDC
REAL ALPHA,BETA
REAL A(LDA,*), B(LDB,*), C(LDC,*)
SUBROUTINE DGEMM(TRANSA, TRANSB, M, N, K,
ALPHA, A, LDA, B, LDB, BETA, C, LDC)
CHARACTER*1 TRANSA,TRANSB
INTEGER M,N,K,LDA,LDB,LDC
DOUBLE PRECISION ALPHA,BETA
DOUBLE PRECISION A(LDA,*), B(LDB,*), C(LDC,*)
SUBROUTINE CGEMM(TRANSA, TRANSB, M, N, K,
ALPHA, A, LDA, B, LDB, BETA, C, LDC)
CHARACTER*1 TRANSA,TRANSB
INTEGER M,N,K,LDA,LDB,LDC
COMPLEX ALPHA,BETA
COMPLEX A(LDA,*), B(LDB,*), C(LDC,*)
SUBROUTINE ZGEMM(TRANSA, TRANSB, M, N, K,
ALPHA, A, LDA, B, LDB, BETA, C, LDC)
CHARACTER*1 TRANSA,TRANSB
INTEGER M,N,K,LDA,LDB,LDC
COMPLEX*16 ALPHA,BETA
COMPLEX*16 A(LDA,*), B(LDB,*), C(LDC,*)
Description
The SGEMM, DGEMM, CGEMM, or ZGEMM subroutine 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',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 |
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 ) = A' |
Unchanged on exit. |
TRANSB |
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' |
TRANSB = 'C' or 'c' |
op( B ) = B' |
Unchanged on exit. |
M |
On entry, M specifies the number of rows of the matrix op( A ) and of the matrix C; M must be at least 0; unchanged on exit. |
N |
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 0; unchanged on exit. |
K |
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 0; unchanged on exit. |
ALPHA |
On entry, ALPHA specifies the scalar alpha; unchanged on exit. |
A |
An array of dimension ( LDA, KA ), where KA is K when TRANSA = 'N' or 'n', and is M otherwise; on 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; unchanged on exit. |
LDA |
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 ); unchanged on exit. |
B |
An array of dimension ( LDB, KB ) where KB is N when TRANSB = 'N' or 'n', and is K otherwise; on 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; unchanged on exit. |
LDB |
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 ); unchanged on exit. |
BETA |
On entry, BETA specifies the scalar beta. When BETA is supplied as 0 then C need not be set on input; unchanged on exit. |
C |
An array of dimension ( LDC, N ); on entry, the leading M by N part of the array C must contain the matrix C, except when beta is 0, 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 |
On entry, LDC specifies the first dimension of C as declared in the calling (sub) program; LDC must be at least max( 1, M ); unchanged on exit. |
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