LAPACK  3.5.0
LAPACK: Linear Algebra PACKage
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zlarfy.f File Reference

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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
[in]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
[in]N
          N is INTEGER
          The number of rows and columns of the matrix C.  N >= 0.
[in]V
          V is COMPLEX*16 array, dimension
                  (1 + (N-1)*abs(INCV))
          The vector v as described above.
[in]INCV
          INCV is INTEGER
          The increment between successive elements of v.  INCV must
          not be zero.
[in]TAU
          TAU is COMPLEX*16
          The value tau as described above.
[in,out]C
          C is COMPLEX*16 array, dimension (LDC, N)
          On entry, the matrix C.
          On exit, C is overwritten by H * C * H'.
[in]LDC
          LDC is INTEGER
          The leading dimension of the array C.  LDC >= max( 1, N ).
[out]WORK
          WORK is COMPLEX*16 array, dimension (N)
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date
November 2011

Definition at line 109 of file zlarfy.f.

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