zlarfy.f - Man Page

TESTING/EIG/zlarfy.f

Synopsis

Functions/Subroutines

subroutine zlarfy (uplo, n, v, incv, tau, c, ldc, work)
ZLARFY

Function/Subroutine Documentation

subroutine zlarfy (character uplo, integer n, complex*16, dimension( * ) v, integer incv, complex*16 tau, complex*16, dimension( ldc, * ) c, integer ldc, complex*16, dimension( * ) work)

ZLARFY

Purpose:

 ZLARFY applies an elementary reflector, or Householder matrix, H,
 to an n x n Hermitian matrix C, from both the left and the right.

 H is represented in the form

    H = I - tau * v * v'

 where  tau  is a scalar and  v  is a vector.

 If  tau  is  zero, then  H  is taken to be the unit matrix.
Parameters

UPLO

          UPLO is CHARACTER*1
          Specifies whether the upper or lower triangular part of the
          Hermitian matrix C is stored.
          = 'U':  Upper triangle
          = 'L':  Lower triangle

N

          N is INTEGER
          The number of rows and columns of the matrix C.  N >= 0.

V

          V is COMPLEX*16 array, dimension
                  (1 + (N-1)*abs(INCV))
          The vector v as described above.

INCV

          INCV is INTEGER
          The increment between successive elements of v.  INCV must
          not be zero.

TAU

          TAU is COMPLEX*16
          The value tau as described above.

C

          C is COMPLEX*16 array, dimension (LDC, N)
          On entry, the matrix C.
          On exit, C is overwritten by H * C * H'.

LDC

          LDC is INTEGER
          The leading dimension of the array C.  LDC >= max( 1, N ).

WORK

          WORK is COMPLEX*16 array, dimension (N)
Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 107 of file zlarfy.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

The man page zlarfy(3) is an alias of zlarfy.f(3).

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK