SLARFX(3)

📦 version 3.12.0, in opensuse-leap 16.0

💖 SLARFX(3) — Library Functions Manual, bestie edition 💖

okay so welcome to the SLARFX(3) page from the Library Functions Manual ✨ this one is all about applying an elementary reflector to a general rectangular matrix, and it is lowkey iconic.

🎀 NAME 🎀

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/slarfx.f

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

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

🌈 Function/Subroutine Documentation 🌈

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

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

💡 Purpose 💡

SLARFX 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.

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 REAL array, dimension (M) if SIDE = 'L' or (N) if SIDE = 'R'. The vector v in the representation of H.
  • 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 >= (1,M).
  • WORK — WORK is REAL 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 119 of file slarfx.f.

🫶 Author 🫶

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