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SUBROUTINE <a name="ZSPMV.1"></a><a href="zspmv.f.html#ZSPMV.1">ZSPMV</a>( UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> -- LAPACK auxiliary routine (version 3.1) --
</span><span class="comment">*</span><span class="comment"> Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
</span><span class="comment">*</span><span class="comment"> November 2006
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> .. Scalar Arguments ..
</span> CHARACTER UPLO
INTEGER INCX, INCY, N
COMPLEX*16 ALPHA, BETA
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. Array Arguments ..
</span> COMPLEX*16 AP( * ), X( * ), Y( * )
<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="ZSPMV.19"></a><a href="zspmv.f.html#ZSPMV.1">ZSPMV</a> performs the matrix-vector operation
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> y := alpha*A*x + beta*y,
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> where alpha and beta are scalars, x and y are n element vectors and
</span><span class="comment">*</span><span class="comment"> A is an n by n symmetric matrix, supplied in packed form.
</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"> UPLO (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment"> On entry, UPLO specifies whether the upper or lower
</span><span class="comment">*</span><span class="comment"> triangular part of the matrix A is supplied in the packed
</span><span class="comment">*</span><span class="comment"> array AP as follows:
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> UPLO = 'U' or 'u' The upper triangular part of A is
</span><span class="comment">*</span><span class="comment"> supplied in AP.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> UPLO = 'L' or 'l' The lower triangular part of A is
</span><span class="comment">*</span><span class="comment"> supplied in AP.
</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"> N (input) INTEGER
</span><span class="comment">*</span><span class="comment"> On entry, N specifies the order of the matrix A.
</span><span class="comment">*</span><span class="comment"> N 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"> ALPHA (input) 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"> AP (input) COMPLEX*16 array, dimension at least
</span><span class="comment">*</span><span class="comment"> ( ( N*( N + 1 ) )/2 ).
</span><span class="comment">*</span><span class="comment"> Before entry, with UPLO = 'U' or 'u', the array AP must
</span><span class="comment">*</span><span class="comment"> contain the upper triangular part of the symmetric matrix
</span><span class="comment">*</span><span class="comment"> packed sequentially, column by column, so that AP( 1 )
</span><span class="comment">*</span><span class="comment"> contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 )
</span><span class="comment">*</span><span class="comment"> and a( 2, 2 ) respectively, and so on.
</span><span class="comment">*</span><span class="comment"> Before entry, with UPLO = 'L' or 'l', the array AP must
</span><span class="comment">*</span><span class="comment"> contain the lower triangular part of the symmetric matrix
</span><span class="comment">*</span><span class="comment"> packed sequentially, column by column, so that AP( 1 )
</span><span class="comment">*</span><span class="comment"> contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 )
</span><span class="comment">*</span><span class="comment"> and a( 3, 1 ) respectively, and so on.
</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"> X (input) COMPLEX*16 array, dimension at least
</span><span class="comment">*</span><span class="comment"> ( 1 + ( N - 1 )*abs( INCX ) ).
</span><span class="comment">*</span><span class="comment"> Before entry, the incremented array X must contain the N-
</span><span class="comment">*</span><span class="comment"> element vector x.
</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"> INCX (input) INTEGER
</span><span class="comment">*</span><span class="comment"> On entry, INCX specifies the increment for the elements of
</span><span class="comment">*</span><span class="comment"> X. INCX must not be 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"> BETA (input) 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 Y 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"> Y (input/output) COMPLEX*16 array, dimension at least
</span><span class="comment">*</span><span class="comment"> ( 1 + ( N - 1 )*abs( INCY ) ).
</span><span class="comment">*</span><span class="comment"> Before entry, the incremented array Y must contain the n
</span><span class="comment">*</span><span class="comment"> element vector y. On exit, Y is overwritten by the updated
</span><span class="comment">*</span><span class="comment"> vector y.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> INCY (input) INTEGER
</span><span class="comment">*</span><span class="comment"> On entry, INCY specifies the increment for the elements of
</span><span class="comment">*</span><span class="comment"> Y. INCY must not be 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"> =====================================================================
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> .. Parameters ..
</span> COMPLEX*16 ONE
PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
COMPLEX*16 ZERO
PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. Local Scalars ..
</span> INTEGER I, INFO, IX, IY, J, JX, JY, K, KK, KX, KY
COMPLEX*16 TEMP1, TEMP2
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. External Functions ..
</span> LOGICAL <a name="LSAME.105"></a><a href="lsame.f.html#LSAME.1">LSAME</a>
EXTERNAL <a name="LSAME.106"></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.109"></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"> .. Executable Statements ..
</span><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.<a name="LSAME.116"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( UPLO, <span class="string">'U'</span> ) .AND. .NOT.<a name="LSAME.116"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( UPLO, <span class="string">'L'</span> ) ) THEN
INFO = 1
ELSE IF( N.LT.0 ) THEN
INFO = 2
ELSE IF( INCX.EQ.0 ) THEN
INFO = 6
ELSE IF( INCY.EQ.0 ) THEN
INFO = 9
END IF
IF( INFO.NE.0 ) THEN
CALL <a name="XERBLA.126"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>( <span class="string">'<a name="ZSPMV.126"></a><a href="zspmv.f.html#ZSPMV.1">ZSPMV</a> '</span>, INFO )
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