/home/abui.../dlarfgp.f(3)

🌸 NAME 🌸

okay bestie, this page is for /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/dlarfgp.f — yes, that whole path is the NAME, no cap. It's the DLARFGP subroutine page from the Library Functions Manual (header path: /home/abui.../dlarfgp.f(3)), and it's giving very-much-linear-algebra 💅.

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✨ SYNOPSIS ✨

🌈 Functions/Subroutines 🌈

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

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🦋 Function/Subroutine Documentation 🦋

💖 the signature 💖

subroutine DLARFGP (integer n, double precision alpha, double precision,
    dimension( * ) x, integer incx, double precision tau)

DLARFGP generates an elementary reflector (Householder matrix) with non-negative beta. That's the whole vibe of this one, bestie.

🎀 Purpose 🎀

okay so DLARFGP 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. slay, identity matrix behavior ✨

🌸 Parameters 🌸

• N — N is INTEGER; the order of the elementary reflector.
• ALPHA — ALPHA is DOUBLE PRECISION. On entry, the value alpha. On exit, it is overwritten with the value beta.
• X — X is DOUBLE PRECISION 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 DOUBLE PRECISION; the value tau.

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👑 Author 👑

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

Definition at line 103 of file dlarfgp.f.

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💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code.

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mwah 💋 — LAPACK Version 3.12.0, page path /home/abui.../dlarfgp.f(3). That's the whole thing, bestie, no cap 🫶