--- rpl/lapack/lapack/zsyr.f 2011/07/22 07:38:20 1.8 +++ rpl/lapack/lapack/zsyr.f 2011/11/21 20:43:21 1.9 @@ -1,9 +1,144 @@ +*> \brief \b ZSYR +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZSYR + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZSYR( UPLO, N, ALPHA, X, INCX, A, LDA ) +* +* .. Scalar Arguments .. +* CHARACTER UPLO +* INTEGER INCX, LDA, N +* COMPLEX*16 ALPHA +* .. +* .. Array Arguments .. +* COMPLEX*16 A( LDA, * ), X( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZSYR performs the symmetric rank 1 operation +*> +*> A := alpha*x*x**H + A, +*> +*> where alpha is a complex scalar, x is an n element vector and A is an +*> n by n symmetric matrix. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] UPLO +*> \verbatim +*> UPLO is CHARACTER*1 +*> On entry, UPLO specifies whether the upper or lower +*> triangular part of the array A is to be referenced as +*> follows: +*> +*> UPLO = 'U' or 'u' Only the upper triangular part of A +*> is to be referenced. +*> +*> UPLO = 'L' or 'l' Only the lower triangular part of A +*> is to be referenced. +*> +*> 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] 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,out] A +*> \verbatim +*> A is COMPLEX*16 array, dimension ( LDA, N ) +*> Before entry, with UPLO = 'U' or 'u', the leading n by n +*> upper triangular part of the array A must contain the upper +*> triangular part of the symmetric matrix and the strictly +*> lower triangular part of A is not referenced. On exit, the +*> upper triangular part of the array A is overwritten by the +*> upper triangular part of the updated matrix. +*> Before entry, with UPLO = 'L' or 'l', the leading n by n +*> lower triangular part of the array A must contain the lower +*> triangular part of the symmetric matrix and the strictly +*> upper triangular part of A is not referenced. On exit, the +*> lower triangular part of the array A is overwritten by the +*> lower triangular part of the updated matrix. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> On entry, LDA specifies the first dimension of A as declared +*> in the calling (sub) program. LDA must be at least +*> max( 1, N ). +*> 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 complex16SYauxiliary +* +* ===================================================================== SUBROUTINE ZSYR( UPLO, N, ALPHA, X, INCX, A, LDA ) * -* -- LAPACK auxiliary routine (version 3.2) -- +* -- LAPACK auxiliary routine (version 3.4.0) -- * -- 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 @@ -14,72 +149,6 @@ COMPLEX*16 A( LDA, * ), X( * ) * .. * -* Purpose -* ======= -* -* ZSYR performs the symmetric rank 1 operation -* -* A := alpha*x*x**H + A, -* -* where alpha is a complex scalar, x is an n element vector and A is an -* n by n symmetric matrix. -* -* Arguments -* ========== -* -* UPLO (input) CHARACTER*1 -* On entry, UPLO specifies whether the upper or lower -* triangular part of the array A is to be referenced as -* follows: -* -* UPLO = 'U' or 'u' Only the upper triangular part of A -* is to be referenced. -* -* UPLO = 'L' or 'l' Only the lower triangular part of A -* is to be referenced. -* -* 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. -* -* 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. -* -* A (input/output) COMPLEX*16 array, dimension ( LDA, N ) -* Before entry, with UPLO = 'U' or 'u', the leading n by n -* upper triangular part of the array A must contain the upper -* triangular part of the symmetric matrix and the strictly -* lower triangular part of A is not referenced. On exit, the -* upper triangular part of the array A is overwritten by the -* upper triangular part of the updated matrix. -* Before entry, with UPLO = 'L' or 'l', the leading n by n -* lower triangular part of the array A must contain the lower -* triangular part of the symmetric matrix and the strictly -* upper triangular part of A is not referenced. On exit, the -* lower triangular part of the array A is overwritten by the -* lower triangular part of the updated matrix. -* -* LDA (input) INTEGER -* On entry, LDA specifies the first dimension of A as declared -* in the calling (sub) program. LDA must be at least -* max( 1, N ). -* Unchanged on exit. -* * ===================================================================== * * .. Parameters ..