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authorjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
committerjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
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@@ -1,9 +1,155 @@
+*> \brief \b ZSPMV
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+* Definition
+* ==========
+*
+* SUBROUTINE ZSPMV( UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY )
+*
+* .. Scalar Arguments ..
+* CHARACTER UPLO
+* INTEGER INCX, INCY, N
+* COMPLEX*16 ALPHA, BETA
+* ..
+* .. Array Arguments ..
+* COMPLEX*16 AP( * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> ZSPMV performs the matrix-vector operation
+*>
+*> y := alpha*A*x + beta*y,
+*>
+*> where alpha and beta are scalars, x and y are n element vectors and
+*> A is an n by n symmetric matrix, supplied in packed form.
+*>
+*>\endverbatim
+*
+* Arguments
+* =========
+*
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> On entry, UPLO specifies whether the upper or lower
+*> triangular part of the matrix A is supplied in the packed
+*> array AP as follows:
+*> \endverbatim
+*> \verbatim
+*> UPLO = 'U' or 'u' The upper triangular part of A is
+*> supplied in AP.
+*> \endverbatim
+*> \verbatim
+*> UPLO = 'L' or 'l' The lower triangular part of A is
+*> supplied in AP.
+*> \endverbatim
+*> \verbatim
+*> Unchanged on exit.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> On entry, N specifies the order of the matrix A.
+*> N must be at least zero.
+*> Unchanged on exit.
+*> \endverbatim
+*>
+*> \param[in] ALPHA
+*> \verbatim
+*> ALPHA is COMPLEX*16
+*> On entry, ALPHA specifies the scalar alpha.
+*> Unchanged on exit.
+*> \endverbatim
+*>
+*> \param[in] AP
+*> \verbatim
+*> AP is COMPLEX*16 array, dimension at least
+*> ( ( N*( N + 1 ) )/2 ).
+*> Before entry, with UPLO = 'U' or 'u', the array AP must
+*> contain the upper triangular part of the symmetric matrix
+*> packed sequentially, column by column, so that AP( 1 )
+*> contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 )
+*> and a( 2, 2 ) respectively, and so on.
+*> Before entry, with UPLO = 'L' or 'l', the array AP must
+*> contain the lower triangular part of the symmetric matrix
+*> packed sequentially, column by column, so that AP( 1 )
+*> contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 )
+*> and a( 3, 1 ) respectively, and so on.
+*> Unchanged on exit.
+*> \endverbatim
+*>
+*> \param[in] X
+*> \verbatim
+*> X is COMPLEX*16 array, dimension at least
+*> ( 1 + ( N - 1 )*abs( INCX ) ).
+*> Before entry, the incremented array X must contain the N-
+*> element vector x.
+*> Unchanged on exit.
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> On entry, INCX specifies the increment for the elements of
+*> X. INCX must not be zero.
+*> Unchanged on exit.
+*> \endverbatim
+*>
+*> \param[in] BETA
+*> \verbatim
+*> BETA is COMPLEX*16
+*> On entry, BETA specifies the scalar beta. When BETA is
+*> supplied as zero then Y need not be set on input.
+*> Unchanged on exit.
+*> \endverbatim
+*>
+*> \param[in,out] Y
+*> \verbatim
+*> Y is COMPLEX*16 array, dimension at least
+*> ( 1 + ( N - 1 )*abs( INCY ) ).
+*> Before entry, the incremented array Y must contain the n
+*> element vector y. On exit, Y is overwritten by the updated
+*> vector y.
+*> \endverbatim
+*>
+*> \param[in] INCY
+*> \verbatim
+*> INCY is INTEGER
+*> On entry, INCY specifies the increment for the elements of
+*> Y. INCY must not be zero.
+*> Unchanged on exit.
+*> \endverbatim
+*>
+*
+* Authors
+* =======
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup complex16OTHERauxiliary
+*
+* =====================================================================
SUBROUTINE ZSPMV( UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY )
*
* -- LAPACK auxiliary routine (version 3.2) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* November 2011
*
* .. Scalar Arguments ..
CHARACTER UPLO
@@ -14,82 +160,6 @@
COMPLEX*16 AP( * ), X( * ), Y( * )
* ..
*
-* Purpose
-* =======
-*
-* ZSPMV performs the matrix-vector operation
-*
-* y := alpha*A*x + beta*y,
-*
-* where alpha and beta are scalars, x and y are n element vectors and
-* A is an n by n symmetric matrix, supplied in packed form.
-*
-* Arguments
-* ==========
-*
-* UPLO (input) CHARACTER*1
-* On entry, UPLO specifies whether the upper or lower
-* triangular part of the matrix A is supplied in the packed
-* array AP as follows:
-*
-* UPLO = 'U' or 'u' The upper triangular part of A is
-* supplied in AP.
-*
-* UPLO = 'L' or 'l' The lower triangular part of A is
-* supplied in AP.
-*
-* Unchanged on exit.
-*
-* N (input) INTEGER
-* On entry, N specifies the order of the matrix A.
-* N must be at least zero.
-* Unchanged on exit.
-*
-* ALPHA (input) COMPLEX*16
-* On entry, ALPHA specifies the scalar alpha.
-* Unchanged on exit.
-*
-* AP (input) COMPLEX*16 array, dimension at least
-* ( ( N*( N + 1 ) )/2 ).
-* Before entry, with UPLO = 'U' or 'u', the array AP must
-* contain the upper triangular part of the symmetric matrix
-* packed sequentially, column by column, so that AP( 1 )
-* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 )
-* and a( 2, 2 ) respectively, and so on.
-* Before entry, with UPLO = 'L' or 'l', the array AP must
-* contain the lower triangular part of the symmetric matrix
-* packed sequentially, column by column, so that AP( 1 )
-* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 )
-* and a( 3, 1 ) respectively, and so on.
-* Unchanged on exit.
-*
-* X (input) COMPLEX*16 array, dimension at least
-* ( 1 + ( N - 1 )*abs( INCX ) ).
-* Before entry, the incremented array X must contain the N-
-* element vector x.
-* Unchanged on exit.
-*
-* INCX (input) INTEGER
-* On entry, INCX specifies the increment for the elements of
-* X. INCX must not be zero.
-* Unchanged on exit.
-*
-* BETA (input) COMPLEX*16
-* On entry, BETA specifies the scalar beta. When BETA is
-* supplied as zero then Y need not be set on input.
-* Unchanged on exit.
-*
-* Y (input/output) COMPLEX*16 array, dimension at least
-* ( 1 + ( N - 1 )*abs( INCY ) ).
-* Before entry, the incremented array Y must contain the n
-* element vector y. On exit, Y is overwritten by the updated
-* vector y.
-*
-* INCY (input) INTEGER
-* On entry, INCY specifies the increment for the elements of
-* Y. INCY must not be zero.
-* Unchanged on exit.
-*
* =====================================================================
*
* .. Parameters ..