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version 1.8, 2011/11/21 20:37:09
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*> \brief \b ZHER |
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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 ZHER(UPLO,N,ALPHA,X,INCX,A,LDA) |
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* |
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* .. Scalar Arguments .. |
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* DOUBLE PRECISION ALPHA |
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* INTEGER INCX,LDA,N |
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* CHARACTER UPLO |
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* .. |
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* .. Array Arguments .. |
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* COMPLEX*16 A(LDA,*),X(*) |
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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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*> ZHER performs the hermitian rank 1 operation |
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*> |
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*> A := alpha*x*x**H + A, |
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*> |
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*> where alpha is a real scalar, x is an n element vector and A is an |
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*> n by n hermitian 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] UPLO |
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*> \verbatim |
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*> UPLO is CHARACTER*1 |
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*> On entry, UPLO specifies whether the upper or lower |
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*> triangular part of the array A is to be referenced as |
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*> follows: |
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*> |
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*> UPLO = 'U' or 'u' Only the upper triangular part of A |
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*> is to be referenced. |
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*> |
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*> UPLO = 'L' or 'l' Only the lower triangular part of A |
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*> is to be referenced. |
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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 order 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] X |
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*> \verbatim |
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*> X is COMPLEX*16 array of dimension at least |
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*> ( 1 + ( n - 1 )*abs( INCX ) ). |
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*> Before entry, the incremented array X must contain the n |
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*> element 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,out] A |
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*> \verbatim |
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*> A is COMPLEX*16 array of DIMENSION ( LDA, n ). |
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*> Before entry with UPLO = 'U' or 'u', the leading n by n |
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*> upper triangular part of the array A must contain the upper |
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*> triangular part of the hermitian matrix and the strictly |
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*> lower triangular part of A is not referenced. On exit, the |
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*> upper triangular part of the array A is overwritten by the |
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*> upper triangular part of the updated matrix. |
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*> Before entry with UPLO = 'L' or 'l', the leading n by n |
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*> lower triangular part of the array A must contain the lower |
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*> triangular part of the hermitian matrix and the strictly |
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*> upper triangular part of A is not referenced. On exit, the |
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*> lower triangular part of the array A is overwritten by the |
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*> lower triangular part of the updated matrix. |
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*> Note that the imaginary parts of the diagonal elements need |
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*> not be set, they are assumed to be zero, and on exit they |
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*> are set to zero. |
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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, n ). |
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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 complex16_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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*> |
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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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* ===================================================================== |
SUBROUTINE ZHER(UPLO,N,ALPHA,X,INCX,A,LDA) |
SUBROUTINE ZHER(UPLO,N,ALPHA,X,INCX,A,LDA) |
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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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* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
DOUBLE PRECISION ALPHA |
DOUBLE PRECISION ALPHA |
INTEGER INCX,LDA,N |
INTEGER INCX,LDA,N |
CHARACTER UPLO |
CHARACTER UPLO |
* .. |
* .. |
* .. Array Arguments .. |
* .. Array Arguments .. |
DOUBLE COMPLEX A(LDA,*),X(*) |
COMPLEX*16 A(LDA,*),X(*) |
* .. |
* .. |
* |
* |
* Purpose |
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* ======= |
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* |
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* ZHER performs the hermitian rank 1 operation |
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* |
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* A := alpha*x*conjg( x' ) + A, |
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* |
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* where alpha is a real scalar, x is an n element vector and A is an |
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* n by n hermitian matrix. |
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* |
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* Arguments |
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* ========== |
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* |
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* UPLO - CHARACTER*1. |
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* On entry, UPLO specifies whether the upper or lower |
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* triangular part of the array A is to be referenced as |
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* follows: |
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* |
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* UPLO = 'U' or 'u' Only the upper triangular part of A |
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* is to be referenced. |
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* |
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* UPLO = 'L' or 'l' Only the lower triangular part of A |
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* is to be referenced. |
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* |
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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 order 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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* X - COMPLEX*16 array of dimension at least |
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* ( 1 + ( n - 1 )*abs( INCX ) ). |
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* Before entry, the incremented array X must contain the n |
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* element 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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* A - COMPLEX*16 array of DIMENSION ( LDA, n ). |
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* Before entry with UPLO = 'U' or 'u', the leading n by n |
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* upper triangular part of the array A must contain the upper |
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* triangular part of the hermitian matrix and the strictly |
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* lower triangular part of A is not referenced. On exit, the |
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* upper triangular part of the array A is overwritten by the |
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* upper triangular part of the updated matrix. |
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* Before entry with UPLO = 'L' or 'l', the leading n by n |
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* lower triangular part of the array A must contain the lower |
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* triangular part of the hermitian matrix and the strictly |
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* upper triangular part of A is not referenced. On exit, the |
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* lower triangular part of the array A is overwritten by the |
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* lower triangular part of the updated matrix. |
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* Note that the imaginary parts of the diagonal elements need |
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* not be set, they are assumed to be zero, and on exit they |
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* are set to zero. |
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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, n ). |
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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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* Level 2 Blas routine. |
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* |
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* -- 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. |
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* |
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* ===================================================================== |
* ===================================================================== |
* |
* |
* .. Parameters .. |
* .. Parameters .. |
DOUBLE COMPLEX ZERO |
COMPLEX*16 ZERO |
PARAMETER (ZERO= (0.0D+0,0.0D+0)) |
PARAMETER (ZERO= (0.0D+0,0.0D+0)) |
* .. |
* .. |
* .. Local Scalars .. |
* .. Local Scalars .. |
DOUBLE COMPLEX TEMP |
COMPLEX*16 TEMP |
INTEGER I,INFO,IX,J,JX,KX |
INTEGER I,INFO,IX,J,JX,KX |
* .. |
* .. |
* .. External Functions .. |
* .. External Functions .. |