SRC/slarfgp.f(3)

💖 NAME 💖

SRC/slarfgp.f

Hey bestie! 💅 This page is from the LAPACK Library Functions Manual, and it's literally the manual page for SRC/slarfgp.f — the slarfgp glow-up. It's giving Householder-reflector-with-non-negative-beta realness, no cap. ✨

🌸 SYNOPSIS 🌸

Functions/Subroutines

• subroutine slarfgp (n, alpha, x, incx, tau) — SLARFGP generates an elementary reflector (Householder matrix) with non-negative beta.

🛠️ Function/Subroutine Documentation 🛠️

subroutine slarfgp (integer n, real alpha, real, dimension( * ) x, integer incx, real tau)

SLARFGP generates an elementary reflector (Householder matrix) with non-negative beta.

🎯 Purpose:

Okay so here's the main-character behavior: SLARFGP generates a real elementary reflector H of order n, such that

H * ( alpha ) = ( beta ),   H**T * H = I.
    (   x   )   (   0  )

where alpha and beta are scalars, beta is non-negative, and x is an (n-1)-element real vector. H is represented in the form

H = I - tau * ( 1 ) * ( 1 v**T ) ,
              ( v )

where tau is a real scalar and v is a real (n-1)-element vector.

If the elements of x are all zero, then tau = 0 and H is taken to be the unit matrix. Periodt. 💫

🌸 Parameters 🌸

• N — N is INTEGER. The order of the elementary reflector.
• ALPHA — ALPHA is REAL. On entry, the value alpha. On exit, it is overwritten with the value beta.
• X — X is REAL array, dimension (1+(N-2)*abs(INCX)). On entry, the vector x. On exit, it is overwritten with the vector v.
• INCX — INCX is INTEGER. The increment between elements of X. INCX > 0.
• TAU — TAU is REAL. The value tau.

👑 Author 👑

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

Definition at line 103 of file slarfgp.f.

🧚 Author 🧚

Generated automatically by Doxygen for LAPACK from the source code.

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That's the whole page, bestie 🫶 — footer vibes are LAPACK Version 3.12.0, SRC/slarfgp.f(3). Byeee! 💜✨