SRC/slarf1f.f(3)

🌸 SRC/slarf1f.f(3) 🌸

okay bestie, this is the Library Functions Manual page for SRC/slarf1f.f(3) — and it’s giving “tiny but important linear algebra icon” energy. no cap, every detail is below. 💅

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✨ NAME ✨

SRC/slarf1f.f

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🦋 SYNOPSIS 🦋

Functions/Subroutines

• subroutine slarf1f (side, m, n, v, incv, tau, c, ldc, work) — SLARF1F applies an elementary reflector to a general rectangular

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🧚 Function/Subroutine Documentation 🧚

🌟 subroutine slarf1f 🌟

here’s the exact signature, bestie — copy it with care:

subroutine slarf1f (character side, integer m, integer n, real, dimension( *
       ) v, integer incv, real tau, real, dimension( ldc, * ) c, integer ldc,
       real, dimension( * ) work)

SLARF1F applies an elementary reflector to a general rectangular

🎀 Purpose 🎀

okay so SLARF1F 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(1) = 1.

if tau = 0, then H is taken to be the unit matrix. literally that simple, periodt. ✨

💖 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 124 of file slarf1f.f.

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🫶 Author 🫶

Generated automatically by Doxygen for LAPACK from the source code.

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and that’s the whole vibe check, bestie 💖 the footer says LAPACK Version 3.12.0 and page SRC/slarf1f.f(3) — iconic, no notes. 🌈✨