SRC/clarf1f.f(3) | Library Functions Manual | SRC/clarf1f.f(3) |
NAME
SRC/clarf1f.f
SYNOPSIS
Functions/Subroutines
subroutine clarf1f (side, m, n, v, incv, tau, c, ldc, work)
CLARF1F applies an elementary reflector to a general rectangular
Function/Subroutine Documentation
subroutine clarf1f (character side, integer m, integer n, complex, dimension( * ) v, integer incv, complex tau, complex, dimension( ldc, * ) c, integer ldc, complex, dimension( * ) work)
CLARF1F applies an elementary reflector to a general rectangular
Purpose:
!> !> CLARF1F 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 assuming v(1) = 1. !> !> If tau = 0, then H is taken to be the unit matrix. !> !> To apply H**H (the conjugate transpose of 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 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 !> The value tau in the representation of H. !>
C
!> C is COMPLEX 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 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.
Definition at line 127 of file clarf1f.f.
Author
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