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SUBROUTINE <a name="ZGEMM.1"></a><a href="zgemm.f.html#ZGEMM.1">ZGEMM</a>(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
<span class="comment">*</span><span class="comment"> .. Scalar Arguments ..
</span> DOUBLE COMPLEX ALPHA,BETA
INTEGER K,LDA,LDB,LDC,M,N
CHARACTER TRANSA,TRANSB
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. Array Arguments ..
</span> DOUBLE COMPLEX A(LDA,*),B(LDB,*),C(LDC,*)
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Purpose
</span><span class="comment">*</span><span class="comment"> =======
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> <a name="ZGEMM.14"></a><a href="zgemm.f.html#ZGEMM.1">ZGEMM</a> performs one of the matrix-matrix operations
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> C := alpha*op( A )*op( B ) + beta*C,
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> where op( X ) is one of
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> op( X ) = X or op( X ) = X' or op( X ) = conjg( X' ),
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> alpha and beta are scalars, and A, B and C are matrices, with op( A )
</span><span class="comment">*</span><span class="comment"> an m by k matrix, op( B ) a k by n matrix and C an m by n matrix.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Arguments
</span><span class="comment">*</span><span class="comment"> ==========
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> TRANSA - CHARACTER*1.
</span><span class="comment">*</span><span class="comment"> On entry, TRANSA specifies the form of op( A ) to be used in
</span><span class="comment">*</span><span class="comment"> the matrix multiplication as follows:
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> TRANSA = 'N' or 'n', op( A ) = A.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> TRANSA = 'T' or 't', op( A ) = A'.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> TRANSA = 'C' or 'c', op( A ) = conjg( A' ).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Unchanged on exit.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> TRANSB - CHARACTER*1.
</span><span class="comment">*</span><span class="comment"> On entry, TRANSB specifies the form of op( B ) to be used in
</span><span class="comment">*</span><span class="comment"> the matrix multiplication as follows:
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> TRANSB = 'N' or 'n', op( B ) = B.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> TRANSB = 'T' or 't', op( B ) = B'.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> TRANSB = 'C' or 'c', op( B ) = conjg( B' ).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Unchanged on exit.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> M - INTEGER.
</span><span class="comment">*</span><span class="comment"> On entry, M specifies the number of rows of the matrix
</span><span class="comment">*</span><span class="comment"> op( A ) and of the matrix C. M must be at least zero.
</span><span class="comment">*</span><span class="comment"> Unchanged on exit.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> N - INTEGER.
</span><span class="comment">*</span><span class="comment"> On entry, N specifies the number of columns of the matrix
</span><span class="comment">*</span><span class="comment"> op( B ) and the number of columns of the matrix C. N must be
</span><span class="comment">*</span><span class="comment"> at least zero.
</span><span class="comment">*</span><span class="comment"> Unchanged on exit.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> K - INTEGER.
</span><span class="comment">*</span><span class="comment"> On entry, K specifies the number of columns of the matrix
</span><span class="comment">*</span><span class="comment"> op( A ) and the number of rows of the matrix op( B ). K must
</span><span class="comment">*</span><span class="comment"> be at least zero.
</span><span class="comment">*</span><span class="comment"> Unchanged on exit.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> ALPHA - COMPLEX*16 .
</span><span class="comment">*</span><span class="comment"> On entry, ALPHA specifies the scalar alpha.
</span><span class="comment">*</span><span class="comment"> Unchanged on exit.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> A - COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is
</span><span class="comment">*</span><span class="comment"> k when TRANSA = 'N' or 'n', and is m otherwise.
</span><span class="comment">*</span><span class="comment"> Before entry with TRANSA = 'N' or 'n', the leading m by k
</span><span class="comment">*</span><span class="comment"> part of the array A must contain the matrix A, otherwise
</span><span class="comment">*</span><span class="comment"> the leading k by m part of the array A must contain the
</span><span class="comment">*</span><span class="comment"> matrix A.
</span><span class="comment">*</span><span class="comment"> Unchanged on exit.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> LDA - INTEGER.
</span><span class="comment">*</span><span class="comment"> On entry, LDA specifies the first dimension of A as declared
</span><span class="comment">*</span><span class="comment"> in the calling (sub) program. When TRANSA = 'N' or 'n' then
</span><span class="comment">*</span><span class="comment"> LDA must be at least max( 1, m ), otherwise LDA must be at
</span><span class="comment">*</span><span class="comment"> least max( 1, k ).
</span><span class="comment">*</span><span class="comment"> Unchanged on exit.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> B - COMPLEX*16 array of DIMENSION ( LDB, kb ), where kb is
</span><span class="comment">*</span><span class="comment"> n when TRANSB = 'N' or 'n', and is k otherwise.
</span><span class="comment">*</span><span class="comment"> Before entry with TRANSB = 'N' or 'n', the leading k by n
</span><span class="comment">*</span><span class="comment"> part of the array B must contain the matrix B, otherwise
</span><span class="comment">*</span><span class="comment"> the leading n by k part of the array B must contain the
</span><span class="comment">*</span><span class="comment"> matrix B.
</span><span class="comment">*</span><span class="comment"> Unchanged on exit.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> LDB - INTEGER.
</span><span class="comment">*</span><span class="comment"> On entry, LDB specifies the first dimension of B as declared
</span><span class="comment">*</span><span class="comment"> in the calling (sub) program. When TRANSB = 'N' or 'n' then
</span><span class="comment">*</span><span class="comment"> LDB must be at least max( 1, k ), otherwise LDB must be at
</span><span class="comment">*</span><span class="comment"> least max( 1, n ).
</span><span class="comment">*</span><span class="comment"> Unchanged on exit.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> BETA - COMPLEX*16 .
</span><span class="comment">*</span><span class="comment"> On entry, BETA specifies the scalar beta. When BETA is
</span><span class="comment">*</span><span class="comment"> supplied as zero then C need not be set on input.
</span><span class="comment">*</span><span class="comment"> Unchanged on exit.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> C - COMPLEX*16 array of DIMENSION ( LDC, n ).
</span><span class="comment">*</span><span class="comment"> Before entry, the leading m by n part of the array C must
</span><span class="comment">*</span><span class="comment"> contain the matrix C, except when beta is zero, in which
</span><span class="comment">*</span><span class="comment"> case C need not be set on entry.
</span><span class="comment">*</span><span class="comment"> On exit, the array C is overwritten by the m by n matrix
</span><span class="comment">*</span><span class="comment"> ( alpha*op( A )*op( B ) + beta*C ).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> LDC - INTEGER.
</span><span class="comment">*</span><span class="comment"> On entry, LDC specifies the first dimension of C as declared
</span><span class="comment">*</span><span class="comment"> in the calling (sub) program. LDC must be at least
</span><span class="comment">*</span><span class="comment"> max( 1, m ).
</span><span class="comment">*</span><span class="comment"> Unchanged on exit.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Level 3 Blas routine.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> -- Written on 8-February-1989.
</span><span class="comment">*</span><span class="comment"> Jack Dongarra, Argonne National Laboratory.
</span><span class="comment">*</span><span class="comment"> Iain Duff, AERE Harwell.
</span><span class="comment">*</span><span class="comment"> Jeremy Du Croz, Numerical Algorithms Group Ltd.
</span><span class="comment">*</span><span class="comment"> Sven Hammarling, Numerical Algorithms Group Ltd.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> .. External Functions ..
</span> LOGICAL <a name="LSAME.132"></a><a href="lsame.f.html#LSAME.1">LSAME</a>
EXTERNAL <a name="LSAME.133"></a><a href="lsame.f.html#LSAME.1">LSAME</a>
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. External Subroutines ..
</span> EXTERNAL <a name="XERBLA.136"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. Intrinsic Functions ..
</span> INTRINSIC DCONJG,MAX
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. Local Scalars ..
</span> DOUBLE COMPLEX TEMP
INTEGER I,INFO,J,L,NCOLA,NROWA,NROWB
LOGICAL CONJA,CONJB,NOTA,NOTB
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. Parameters ..
</span> DOUBLE COMPLEX ONE
PARAMETER (ONE= (1.0D+0,0.0D+0))
DOUBLE COMPLEX ZERO
PARAMETER (ZERO= (0.0D+0,0.0D+0))
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Set NOTA and NOTB as true if A and B respectively are not
</span><span class="comment">*</span><span class="comment"> conjugated or transposed, set CONJA and CONJB as true if A and
</span><span class="comment">*</span><span class="comment"> B respectively are to be transposed but not conjugated and set
</span><span class="comment">*</span><span class="comment"> NROWA, NCOLA and NROWB as the number of rows and columns of A
</span><span class="comment">*</span><span class="comment"> and the number of rows of B respectively.
</span><span class="comment">*</span><span class="comment">
</span> NOTA = <a name="LSAME.159"></a><a href="lsame.f.html#LSAME.1">LSAME</a>(TRANSA,<span class="string">'N'</span>)
NOTB = <a name="LSAME.160"></a><a href="lsame.f.html#LSAME.1">LSAME</a>(TRANSB,<span class="string">'N'</span>)
CONJA = <a name="LSAME.161"></a><a href="lsame.f.html#LSAME.1">LSAME</a>(TRANSA,<span class="string">'C'</span>)
CONJB = <a name="LSAME.162"></a><a href="lsame.f.html#LSAME.1">LSAME</a>(TRANSB,<span class="string">'C'</span>)
IF (NOTA) THEN
NROWA = M
NCOLA = K
ELSE
NROWA = K
NCOLA = M
END IF
IF (NOTB) THEN
NROWB = K
ELSE
NROWB = N
END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Test the input parameters.
</span><span class="comment">*</span><span class="comment">
</span> INFO = 0
IF ((.NOT.NOTA) .AND. (.NOT.CONJA) .AND.
+ (.NOT.<a name="LSAME.180"></a><a href="lsame.f.html#LSAME.1">LSAME</a>(TRANSA,<span class="string">'T'</span>))) THEN
INFO = 1
ELSE IF ((.NOT.NOTB) .AND. (.NOT.CONJB) .AND.
+ (.NOT.<a name="LSAME.183"></a><a href="lsame.f.html#LSAME.1">LSAME</a>(TRANSB,<span class="string">'T'</span>))) THEN
INFO = 2
ELSE IF (M.LT.0) THEN
INFO = 3
ELSE IF (N.LT.0) THEN
INFO = 4
ELSE IF (K.LT.0) THEN
INFO = 5
ELSE IF (LDA.LT.MAX(1,NROWA)) THEN
INFO = 8
ELSE IF (LDB.LT.MAX(1,NROWB)) THEN
INFO = 10
ELSE IF (LDC.LT.MAX(1,M)) THEN
INFO = 13
END IF
IF (INFO.NE.0) THEN
CALL <a name="XERBLA.199"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>(<span class="string">'<a name="ZGEMM.199"></a><a href="zgemm.f.html#ZGEMM.1">ZGEMM</a> '</span>,INFO)
RETURN
END IF
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