SRC/slarf1l.f(3)

📦 version 3.12.1, in arch rolling

💅 SRC/slarf1l.f(3)

okay bestie, welcome to the Library Functions Manual page for SRC/slarf1l.f — and yes, it's literally all about slarf1l. no cap, this is the docs for a subroutine that applies an elementary reflector to a general rectangular matrix. iconic behavior only. 💖

💖 NAME

SRC/slarf1l.f — that's the name, periodt. This is the manual entry for it. 🎀

✨ SYNOPSIS

🧚 Functions/Subroutines

  • subroutine slarf1l (side, m, n, v, incv, tau, c, ldc, work) — SLARF1L applies an elementary reflector to a general rectangular

🎀 Function/Subroutine Documentation

🌸 subroutine slarf1l

The full signature is giving very much:

subroutine slarf1l (character side, integer m, integer n, real, dimension( *
) v, integer incv, real tau, real, dimension( ldc, * ) c, integer ldc,
real, dimension( * ) work)

SLARF1L applies an elementary reflector to a general rectangular

🦋 Purpose

okay so here's the whole vibe: SLARF1L applies a real elementary reflector H to a real m by n matrix C, from either the left or the right. H is represented in the form:

H = I - tau * v * v**T

where tau is a real scalar and v is a real vector assuming v(lastv) = 1, where lastv is the last non-zero element.

If tau = 0, then H is taken to be the unit matrix. literally the chillest case. 😌

🌈 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 REAL 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 REAL

The value tau in the representation of H.

💛 C

C is REAL 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 REAL 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 126 of file slarf1l.f.

💜 Author

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🌈 cute little sign-off: this page is rockin' LAPACK Version 3.12.0 energy, and the footer path/source vibe is SRC/slarf1l.f(3) — mwah, go slay your matrix math bestie 💋✨🫶

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