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SUBROUTINE <a name="DGEMM.1"></a><a href="dgemm.f.html#DGEMM.1">DGEMM</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 PRECISION 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 PRECISION 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="DGEMM.14"></a><a href="dgemm.f.html#DGEMM.1">DGEMM</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',
</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 ) = 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 ) = 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 - DOUBLE PRECISION.
</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 - DOUBLE PRECISION 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 - DOUBLE PRECISION 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 - DOUBLE PRECISION.
</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 - DOUBLE PRECISION 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 MAX
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. Local Scalars ..
</span> DOUBLE PRECISION TEMP
INTEGER I,INFO,J,L,NCOLA,NROWA,NROWB
LOGICAL NOTA,NOTB
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. Parameters ..
</span> DOUBLE PRECISION ONE,ZERO
PARAMETER (ONE=1.0D+0,ZERO=0.0D+0)
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment">
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