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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/BLAS/SRC/zhpr.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/BLAS/SRC/zhpr.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/BLAS/SRC/zhpr.f

SYNOPSIS

Functions/Subroutines


subroutine ZHPR (uplo, n, alpha, x, incx, ap)
ZHPR

Function/Subroutine Documentation

subroutine ZHPR (character uplo, integer n, double precision alpha, complex*16, dimension(*) x, integer incx, complex*16, dimension(*) ap)

ZHPR

Purpose:

!>
!> ZHPR    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, supplied in packed form.
!> 

Parameters

UPLO

!>          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:
!>
!>              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.
!> 

N

!>          N is INTEGER
!>           On entry, N specifies the order of the matrix A.
!>           N must be at least zero.
!> 

ALPHA

!>          ALPHA is DOUBLE PRECISION.
!>           On entry, ALPHA specifies the scalar alpha.
!> 

X

!>          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.
!> 

INCX

!>          INCX is INTEGER
!>           On entry, INCX specifies the increment for the elements of
!>           X. INCX must not be zero.
!> 

AP

!>          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 hermitian 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. On exit, the array
!>           AP is overwritten by the upper triangular part of the
!>           updated matrix.
!>           Before entry with UPLO = 'L' or 'l', the array AP must
!>           contain the lower triangular part of the hermitian 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. On exit, the array
!>           AP 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.
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

!>
!>  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.
!> 

Definition at line 129 of file zhpr.f.

Author

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Version 3.12.0 LAPACK