/home/abui...RC/zlarf.f(3)
π NAME π
/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zlarf.f β that's the file, bestie. This is the Library Functions Manual entry for it, and we're about to make it make sense β¨
β¨ SYNOPSIS β¨
Functions/Subroutines
subroutine ZLARF (side, m, n, v, incv, tau, c, ldc, work)βZLARFapplies an elementary reflector to a general rectangular matrix. Periodt π
π Function/Subroutine Documentation π
Here's the full signature, no cap:
subroutine ZLARF (character side, integer m, integer n, complex*16,
dimension( * ) v, integer incv, complex*16 tau, complex*16, dimension(
ldc, * ) c, integer ldc, complex*16, dimension( * ) work)
ZLARF applies an elementary reflector to a general rectangular matrix. Iconic behavior honestly π¦
Purpose
Okay so check it: 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. That's the whole little switch-up π«
Parameters
SIDE
SIDE is CHARACTER*1
= 'L': formH * C= 'R': formC * 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. Noted, bestie π«Ά
INCV
INCV is INTEGER
The increment between elements of v. INCV <> 0.
tiny but important vibe check: INCV cannot be zero π
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'. She gets rewritten, periodt β¨
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.
Definition at line 127 of file zlarf.f.
Definition at line 127 of file zlarf.f. π
Author
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