DORGL2(3)

💖 NAME 💖

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/dorgl2.f — bestie, that's the source file this page is all about. You're reading the dorgl2.f(3) page from the Library Functions Manual, and it's giving very specific LAPACK energy. ✨

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✨ SYNOPSIS ✨

Functions/Subroutines
    subroutine DORGL2 (m, n, k, a, lda, tau, work, info)
        DORGL2

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🦋 Function/Subroutine Documentation 🦋

Okay so here's the full signature in all its glory:

subroutine DORGL2 (integer m, integer n, integer k, double precision,
    dimension( lda, * ) a, integer lda, double precision, dimension( * )
    tau, double precision, dimension( * ) work, integer info)
    DORGL2

🌸 Purpose 🌸

Literally this:

!>
!> DORGL2 generates an m by n real matrix Q with orthonormal rows,
!> which is defined as the first m rows of a product of k elementary
!> reflectors of order n
!>
!>       Q  =  H(k) . . . H(2) H(1)
!>
!> as returned by DGELQF.
!>

That's the whole vibe: it builds Q from those reflectors. Slay. 💅

🎀 Parameters 🎀

• M — M is INTEGER; it's the number of rows of the matrix Q. M >= 0. Periodt.
• N — N is INTEGER; it's the number of columns of the matrix Q. N >= M.
• K — K is INTEGER; it's the number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.
• A — A is DOUBLE PRECISION array, dimension (LDA,N). On entry, the i-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by DGELQF in the first k rows of its array argument A. On exit, the m-by-n matrix Q.
• LDA — LDA is INTEGER; it's the first dimension of the array A. LDA >= max(1,M).
• TAU — TAU is DOUBLE PRECISION array, dimension (K). TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by DGELQF.
• WORK — WORK is DOUBLE PRECISION array, dimension (M).
• INFO — INFO is INTEGER. = 0: successful exit. < 0: if INFO = -i, the i-th argument has an illegal value.

👑 Author 👑

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

Definition at line 112 of file dorgl2.f.

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🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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And that's the tea 🍓: this footer moment is brought to you by LAPACK Version 3.12.0, with the footer path /home/abui...RC/dorgl2.f(3) — no date in the footer, just those exact vibes, bestie. 🫶💜