/home/abui...RC/zlarf.f(3)

πŸ“¦ version 3.12.0, in opensuse-leap 16.0

πŸ’– NAME πŸ’–

/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 ✨


✨ SYNOPSIS ✨

Functions/Subroutines

  • subroutine ZLARF (side, m, n, v, incv, tau, c, ldc, work) β€” ZLARF applies an elementary reflector to a general rectangular matrix. Periodt πŸ’…

πŸŽ€ Function/Subroutine Documentation πŸŽ€

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 πŸ¦‹

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 πŸ’«

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. Noted, bestie 🫢

INCV

INCV is INTEGER

The increment between elements of v. INCV <> 0.

tiny but important vibe check: INCV cannot be zero πŸ’€

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 ✨

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. πŸŽ€

Author

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