SRC/clarfx.f(3)

✨ SRC/clarfx.f(3) ✨

okay bestie, welcome to the SRC/clarfx.f(3) page from the Library Functions Manual 💅 this one is all about clarfx, a subroutine that applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10. no cap, it’s giving linear algebra main character energy 🔥

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🌸 NAME 🌸

SRC/clarfx.f

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✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

• subroutine clarfx (side, m, n, v, tau, c, ldc, work) — CLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.

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💅 Function/Subroutine Documentation 💅

🎀 subroutine clarfx 🎀

Here’s the whole signature, copied exactly so nobody has to guess:

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

CLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.

🦋 Purpose 🦋

CLARFX 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.

This version uses inline code if H has order < 11.

🌈 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 (M) if SIDE = 'L' or (N) if SIDE = 'R'; the vector v in the representation of H.
• 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'; WORK is not referenced if H has order < 11.

🌟 Author 🌟

• Univ. of Tennessee
• Univ. of California Berkeley
• Univ. of Colorado Denver
• NAG Ltd.

Definition at line 118 of file clarfx.f.

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💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code.

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muah 💋 this page is from LAPACK Version 3.12.0, and its source path is SRC/clarfx.f(3) — that’s the footer, bestie, now go slay those reflectors ✨🫶