diff options
Diffstat (limited to 'BLAS/SRC/cher.f')
| -rw-r--r-- | BLAS/SRC/cher.f | 217 |
1 files changed, 141 insertions, 76 deletions
diff --git a/BLAS/SRC/cher.f b/BLAS/SRC/cher.f index b8d5ac01..b7ccc0b6 100644 --- a/BLAS/SRC/cher.f +++ b/BLAS/SRC/cher.f @@ -1,92 +1,157 @@ - SUBROUTINE CHER(UPLO,N,ALPHA,X,INCX,A,LDA) -* .. Scalar Arguments .. - REAL ALPHA - INTEGER INCX,LDA,N - CHARACTER UPLO -* .. -* .. Array Arguments .. - COMPLEX A(LDA,*),X(*) -* .. +*> \brief \b CHER +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ * +* Definition +* ========== +* +* SUBROUTINE CHER(UPLO,N,ALPHA,X,INCX,A,LDA) +* +* .. Scalar Arguments .. +* REAL ALPHA +* INTEGER INCX,LDA,N +* CHARACTER UPLO +* .. +* .. Array Arguments .. +* COMPLEX A(LDA,*),X(*) +* .. +* * Purpose * ======= * -* CHER performs the hermitian rank 1 operation +*>\details \b Purpose: +*>\verbatim +*> +*> CHER performs the hermitian rank 1 operation +*> +*> A := alpha*x*x**H + A, +*> +*> where alpha is a real scalar, x is an n element vector and A is an +*> n by n hermitian 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: +*> \endverbatim +*> \verbatim +*> UPLO = 'U' or 'u' Only the upper triangular part of A +*> is to be referenced. +*> \endverbatim +*> \verbatim +*> UPLO = 'L' or 'l' Only the lower triangular part of A +*> is to be referenced. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> On entry, N specifies the order of the matrix A. +*> N must be at least zero. +*> \endverbatim +*> +*> \param[in] ALPHA +*> \verbatim +*> ALPHA is REAL +*> On entry, ALPHA specifies the scalar alpha. +*> \endverbatim +*> \verbatim +*> X COMPLEX array of dimension at least +*> ( 1 + ( n - 1 )*abs( INCX ) ). +*> Before entry, the incremented array X must contain the n +*> element vector x. +*> \endverbatim +*> +*> \param[in] INCX +*> \verbatim +*> INCX is INTEGER +*> On entry, INCX specifies the increment for the elements of +*> X. INCX must not be zero. +*> \endverbatim +*> +*> \param[in,out] A +*> \verbatim +*> A is COMPLEX array of 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 hermitian 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 hermitian 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. +*> Note that the imaginary parts of the diagonal elements need +*> not be set, they are assumed to be zero, and on exit they +*> are set to zero. +*> \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 ). +*> \endverbatim +*> +* +* Authors +* ======= * -* A := alpha*x*x**H + A, +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. * -* where alpha is a real scalar, x is an n element vector and A is an -* n by n hermitian matrix. +*> \date November 2011 * -* Arguments -* ========== +*> \ingroup complex_blas_level2 * -* UPLO - 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 - INTEGER. -* On entry, N specifies the order of the matrix A. -* N must be at least zero. -* Unchanged on exit. -* -* ALPHA - REAL . -* On entry, ALPHA specifies the scalar alpha. -* Unchanged on exit. -* -* X - COMPLEX array of 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 - INTEGER. -* On entry, INCX specifies the increment for the elements of -* X. INCX must not be zero. -* Unchanged on exit. -* -* A - COMPLEX array of 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 hermitian 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 hermitian 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. -* Note that the imaginary parts of the diagonal elements need -* not be set, they are assumed to be zero, and on exit they -* are set to zero. -* -* LDA - 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. * * Further Details * =============== +*>\details \b Further \b Details +*> \verbatim +*> +*> Level 2 Blas routine. +*> +*> -- Written on 22-October-1986. +*> Jack Dongarra, Argonne National Lab. +*> Jeremy Du Croz, Nag Central Office. +*> Sven Hammarling, Nag Central Office. +*> Richard Hanson, Sandia National Labs. +*> +*> \endverbatim +*> +* ===================================================================== + SUBROUTINE CHER(UPLO,N,ALPHA,X,INCX,A,LDA) * -* Level 2 Blas routine. +* -- Reference BLAS level2 routine (version 3.4.0) -- +* -- Reference BLAS is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* November 2011 * -* -- Written on 22-October-1986. -* Jack Dongarra, Argonne National Lab. -* Jeremy Du Croz, Nag Central Office. -* Sven Hammarling, Nag Central Office. -* Richard Hanson, Sandia National Labs. +* .. Scalar Arguments .. + REAL ALPHA + INTEGER INCX,LDA,N + CHARACTER UPLO +* .. +* .. Array Arguments .. + COMPLEX A(LDA,*),X(*) +* .. * * ===================================================================== * |