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*> \brief \b DGEMV
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*
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* =========== DOCUMENTATION ===========
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*
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* Online html documentation available at
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* http://www.netlib.org/lapack/explore-html/
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*
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* Definition:
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* ===========
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*
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* SUBROUTINE DGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
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*
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* .. Scalar Arguments ..
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* DOUBLE PRECISION ALPHA,BETA
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* INTEGER INCX,INCY,LDA,M,N
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* CHARACTER TRANS
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* ..
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* .. Array Arguments ..
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* DOUBLE PRECISION A(LDA,*),X(*),Y(*)
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* ..
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*
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*
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*> \par Purpose:
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* =============
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*>
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*> \verbatim
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*>
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*> DGEMV performs one of the matrix-vector operations
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*>
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*> y := alpha*A*x + beta*y, or y := alpha*A**T*x + beta*y,
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*>
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*> where alpha and beta are scalars, x and y are vectors and A is an
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*> m by n matrix.
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*> \endverbatim
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*
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* Arguments:
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* ==========
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*
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*> \param[in] TRANS
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*> \verbatim
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*> TRANS is CHARACTER*1
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*> On entry, TRANS specifies the operation to be performed as
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*> follows:
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*>
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*> TRANS = 'N' or 'n' y := alpha*A*x + beta*y.
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*>
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*> TRANS = 'T' or 't' y := alpha*A**T*x + beta*y.
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*>
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*> TRANS = 'C' or 'c' y := alpha*A**T*x + beta*y.
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*> \endverbatim
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*>
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*> \param[in] M
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*> \verbatim
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*> M is INTEGER
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*> On entry, M specifies the number of rows of the matrix A.
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*> M must be at least zero.
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*> \endverbatim
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*>
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*> \param[in] N
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*> \verbatim
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*> N is INTEGER
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*> On entry, N specifies the number of columns of the matrix A.
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*> N must be at least zero.
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*> \endverbatim
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*>
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*> \param[in] ALPHA
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*> \verbatim
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*> ALPHA is DOUBLE PRECISION.
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*> On entry, ALPHA specifies the scalar alpha.
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*> \endverbatim
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*>
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*> \param[in] A
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*> \verbatim
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*> A is DOUBLE PRECISION array of DIMENSION ( LDA, n ).
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*> Before entry, the leading m by n part of the array A must
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*> contain the matrix of coefficients.
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*> \endverbatim
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*>
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*> \param[in] LDA
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*> \verbatim
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*> LDA is INTEGER
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*> On entry, LDA specifies the first dimension of A as declared
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*> in the calling (sub) program. LDA must be at least
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*> max( 1, m ).
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*> \endverbatim
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*>
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*> \param[in] X
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*> \verbatim
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*> X is DOUBLE PRECISION array of DIMENSION at least
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*> ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
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*> and at least
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*> ( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
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*> Before entry, the incremented array X must contain the
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*> vector x.
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*> \endverbatim
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*>
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*> \param[in] INCX
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*> \verbatim
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*> INCX is INTEGER
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*> On entry, INCX specifies the increment for the elements of
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*> X. INCX must not be zero.
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*> \endverbatim
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*>
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*> \param[in] BETA
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*> \verbatim
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*> BETA is DOUBLE PRECISION.
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*> On entry, BETA specifies the scalar beta. When BETA is
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*> supplied as zero then Y need not be set on input.
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*> \endverbatim
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*>
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*> \param[in,out] Y
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*> \verbatim
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*> Y is DOUBLE PRECISION array of DIMENSION at least
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*> ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
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*> and at least
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*> ( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
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*> Before entry with BETA non-zero, the incremented array Y
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*> must contain the vector y. On exit, Y is overwritten by the
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*> updated vector y.
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*> \endverbatim
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*>
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*> \param[in] INCY
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*> \verbatim
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*> INCY is INTEGER
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*> On entry, INCY specifies the increment for the elements of
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*> Y. INCY must not be zero.
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*> \endverbatim
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*
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* Authors:
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* ========
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*
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*> \author Univ. of Tennessee
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*> \author Univ. of California Berkeley
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*> \author Univ. of Colorado Denver
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*> \author NAG Ltd.
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*
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*> \date November 2011
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*
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*> \ingroup double_blas_level2
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*
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*> \par Further Details:
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* =====================
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*>
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*> \verbatim
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*>
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*> Level 2 Blas routine.
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*> The vector and matrix arguments are not referenced when N = 0, or M = 0
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*>
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*> -- Written on 22-October-1986.
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*> Jack Dongarra, Argonne National Lab.
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*> Jeremy Du Croz, Nag Central Office.
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*> Sven Hammarling, Nag Central Office.
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*> Richard Hanson, Sandia National Labs.
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*> \endverbatim
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*>
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* =====================================================================
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SUBROUTINE DGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
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*
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* -- Reference BLAS level2 routine (version 3.4.0) --
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* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
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* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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* November 2011
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*
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* .. Scalar Arguments ..
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DOUBLE PRECISION ALPHA,BETA
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INTEGER INCX,INCY,LDA,M,N
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@ -8,98 +170,6 @@
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DOUBLE PRECISION A(LDA,*),X(*),Y(*)
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* ..
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*
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* Purpose
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* =======
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*
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* DGEMV performs one of the matrix-vector operations
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*
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* y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y,
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*
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* where alpha and beta are scalars, x and y are vectors and A is an
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* m by n matrix.
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*
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* Arguments
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* ==========
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*
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* TRANS - CHARACTER*1.
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* On entry, TRANS specifies the operation to be performed as
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* follows:
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*
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* TRANS = 'N' or 'n' y := alpha*A*x + beta*y.
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*
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* TRANS = 'T' or 't' y := alpha*A'*x + beta*y.
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*
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* TRANS = 'C' or 'c' y := alpha*A'*x + beta*y.
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*
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* Unchanged on exit.
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*
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* M - INTEGER.
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* On entry, M specifies the number of rows of the matrix A.
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* M must be at least zero.
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* Unchanged on exit.
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*
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* N - INTEGER.
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* On entry, N specifies the number of columns of the matrix A.
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* N must be at least zero.
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* Unchanged on exit.
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*
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* ALPHA - DOUBLE PRECISION.
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* On entry, ALPHA specifies the scalar alpha.
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* Unchanged on exit.
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*
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* A - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
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* Before entry, the leading m by n part of the array A must
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* contain the matrix of coefficients.
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* Unchanged on exit.
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*
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* LDA - INTEGER.
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* On entry, LDA specifies the first dimension of A as declared
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* in the calling (sub) program. LDA must be at least
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* max( 1, m ).
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* Unchanged on exit.
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*
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* X - DOUBLE PRECISION array of DIMENSION at least
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* ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
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* and at least
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* ( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
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* Before entry, the incremented array X must contain the
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* vector x.
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* Unchanged on exit.
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*
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* INCX - INTEGER.
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* On entry, INCX specifies the increment for the elements of
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* X. INCX must not be zero.
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* Unchanged on exit.
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*
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* BETA - DOUBLE PRECISION.
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* On entry, BETA specifies the scalar beta. When BETA is
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* supplied as zero then Y need not be set on input.
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* Unchanged on exit.
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*
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* Y - DOUBLE PRECISION array of DIMENSION at least
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* ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
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* and at least
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* ( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
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* Before entry with BETA non-zero, the incremented array Y
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* must contain the vector y. On exit, Y is overwritten by the
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* updated vector y.
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*
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* INCY - INTEGER.
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* On entry, INCY specifies the increment for the elements of
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* Y. INCY must not be zero.
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* Unchanged on exit.
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*
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* Further Details
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* ===============
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*
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* Level 2 Blas routine.
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*
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* -- Written on 22-October-1986.
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* Jack Dongarra, Argonne National Lab.
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* Jeremy Du Croz, Nag Central Office.
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* Sven Hammarling, Nag Central Office.
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* Richard Hanson, Sandia National Labs.
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*
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* =====================================================================
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*
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* .. Parameters ..
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@ -231,7 +301,7 @@
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END IF
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ELSE
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*
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* Form y := alpha*A'*x + y.
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* Form y := alpha*A**T*x + y.
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*
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JY = KY
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IF (INCX.EQ.1) THEN
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