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zlarf.f(3) LAPACK zlarf.f(3)

NAME

zlarf.f -

SYNOPSIS

Functions/Subroutines


subroutine zlarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK)
 
ZLARF applies an elementary reflector to a general rectangular matrix.

Function/Subroutine Documentation

subroutine zlarf (characterSIDE, integerM, integerN, complex*16, dimension( * )V, integerINCV, complex*16TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK)

ZLARF applies an elementary reflector to a general rectangular matrix.
Purpose:
 ZLARF applies a complex elementary reflector H to a complex M-by-N
 matrix C, from either the left or the right. H is represented in the
 form
H = I - tau * v * v**H
where tau is a complex scalar and v is a complex vector.
If tau = 0, then H is taken to be the unit matrix.
To apply H**H, supply conjg(tau) instead tau.
Parameters:
SIDE
          SIDE is CHARACTER*1
          = 'L': form  H * C
          = 'R': form  C * H
M
          M is INTEGER
          The number of rows of the matrix C.
N
          N is INTEGER
          The number of columns of the matrix C.
V
          V is COMPLEX*16 array, dimension
                     (1 + (M-1)*abs(INCV)) if SIDE = 'L'
                  or (1 + (N-1)*abs(INCV)) if SIDE = 'R'
          The vector v in the representation of H. V is not used if
          TAU = 0.
INCV
          INCV is INTEGER
          The increment between elements of v. INCV <> 0.
TAU
          TAU is COMPLEX*16
          The value tau in the representation of H.
C
          C is COMPLEX*16 array, dimension (LDC,N)
          On entry, the M-by-N matrix C.
          On exit, C is overwritten by the matrix H * C if SIDE = 'L',
          or C * H if SIDE = 'R'.
LDC
          LDC is INTEGER
          The leading dimension of the array C. LDC >= max(1,M).
WORK
          WORK is COMPLEX*16 array, dimension
                         (N) if SIDE = 'L'
                      or (M) if SIDE = 'R'
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
September 2012
Definition at line 129 of file zlarf.f.

Author

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Wed Oct 15 2014 Version 3.4.2