SRC/zlarf1f.f(3)

🌸 NAME 🌸

okay bestie, welcome to the Library Functions Manual page for SRC/zlarf1f.f — it's giving "tiny source file, big reflector energy" 💅 vibe check: passed. The one-line summary is literally: ZLARF1F applies an elementary reflector to a general rectangular. No cap, that's the whole vibe.

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

subroutine zlarf1f (side, m, n, v, incv, tau, c, ldc, work)
    ZLARF1F applies an elementary reflector to a general rectangular

🦋 Function/Subroutine Documentation 🦋

subroutine zlarf1f (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)

ZLARF1F applies an elementary reflector to a general rectangular.

💖 Purpose 💖

okay so here's the main character energy behavior: ZLARF1F applies a complex elementary reflector H to a real m by n matrix C, from either the left or the right. Lowkey obsessed. 🫶

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 of tau. 🔥

🎀 Parameters 🎀

• SIDE — CHARACTER*1; the source lists = 'L': form H * C.

tiny formatting chaos: the raw docs have a literal \param[in] M and \verbatim wedged in here, but M is its own parameter and gets its own bullet below 💅

• M — INTEGER; the number of rows of the matrix C.
• N — INTEGER; the number of columns of the matrix C.
• V — COMPLEX*16 array, dimension

(1 + (M-1)*abs(INCV)) if SIDE = 'L'
or (1 + (N-1)*abs(INCV)) if SIDE = 'R'

This is the vector v in the representation of H. V is not used if TAU = 0. V(1) is not referenced or modified.

• INCV — INTEGER; the increment between elements of v. INCV <> 0.
• TAU — COMPLEX*16; the value tau in the representation of H.
• C — 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 — INTEGER; the leading dimension of the array C. LDC >= max(1,M).
• WORK — 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 158 of file zlarf1f.f.

💫 Author 💫

Generated automatically by Doxygen for LAPACK from the source code.

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bye bestie 💖 this page is LAPACK Version 3.12.0, source page SRC/zlarf1f.f(3) — go slay those elementary reflectors, periodt ✨🦋 ngl you ate that, fr fr.