SRC/clarf1f.f(3)

okay so bestie, welcome to SRC/clarf1f.f(3) — the Library Functions Manual page for SRC/clarf1f.f 💖 this is the LAPACK subroutine that applies an elementary reflector to a general rectangular matrix, and we are keeping every single dimension, flag, and caveat exactly as written. no cap.

💖 NAME 💖

SRC/clarf1f.f — that’s the name, bestie. iconic, short, to the point 🎀

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

subroutine clarf1f (side, m, n, v, incv, tau, c, ldc, work)
    CLARF1F applies an elementary reflector to a general rectangular

🌸 Function/Subroutine Documentation 🌸

subroutine clarf1f (character side, integer m, integer n, complex,
    dimension( * ) v, integer incv, complex tau, complex, dimension( ldc, *
    ) c, integer ldc, complex, dimension( * ) work)

CLARF1F applies an elementary reflector to a general rectangular 💅

🎯 Purpose

okay so what it does: CLARF1F 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 assuming v(1) = 1 🧚

If tau = 0, then H is taken to be the unit matrix. periodt.

To apply H**H (the conjugate transpose of H), supply conjg(tau) instead tau 🔥

🧸 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 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 👑
• INCV — INCV is INTEGER; the increment between elements of v. INCV <> 0 🚨
• TAU — TAU is COMPLEX; the value tau in the representation of H 💜
• C — C is COMPLEX 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 COMPLEX 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 clarf1f.f.

👑 Author

Generated automatically by Doxygen for LAPACK from the source code.

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mwah 💋 cute sign-off: LAPACK, Version 3.12.0, SRC/clarf1f.f(3) — that’s the whole footer stamp, bestie 🫶✨