TESTING/LIN/drqt01.f(3)

🌸 NAME 🌸

TESTING/LIN/drqt01.f — bestie, this page is straight out of the Library Functions Manual, and it’s serving full Fortran testing-routine energy. 💖

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✨ SYNOPSIS ✨

💫 Functions/Subroutines 💫

Okay so the function roster is giving exactly one iconic subroutine:

subroutine drqt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork,
    result)
    DRQT01

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💅 Function/Subroutine Documentation 💅

Here’s the full signature in all its glory, no crumbs:

subroutine drqt01 (integer m, integer n, double precision, dimension( lda, *
    ) a, double precision, dimension( lda, * ) af, double precision,
    dimension( lda, * ) q, double precision, dimension( lda, * ) r, integer
    lda, double precision, dimension( * ) tau, double precision, dimension(
    lwork ) work, integer lwork, double precision, dimension( * ) rwork,
    double precision, dimension( * ) result)
    DRQT01

It’s DRQT01, periodt. 👑

🦋 Purpose 🦋

Okay so DRQT01 tests DGERQF, which computes the RQ factorization of an m-by-n matrix A, and partially tests DORGRQ which forms the n-by-n orthogonal matrix Q.

DRQT01 compares R with A*Q', and checks that Q is orthogonal. Math vibe check unlocked. ✨

🎀 Parameters 🎀

• M — INTEGER. The number of rows of the matrix A. M >= 0. Respect the bound, bestie.
• N — INTEGER. The number of columns of the matrix A. N >= 0.
• A — DOUBLE PRECISION array, dimension (LDA,N). The m-by-n matrix A.
• AF — DOUBLE PRECISION array, dimension (LDA,N). Details of the RQ factorization of A, as returned by DGERQF. See DGERQF for further details.
• Q — DOUBLE PRECISION array, dimension (LDA,N). The n-by-n orthogonal matrix Q.
• R — DOUBLE PRECISION array, dimension (LDA,max(M,N)).
• LDA — INTEGER. The leading dimension of the arrays A, AF, Q and L. LDA >= max(M,N).
• TAU — DOUBLE PRECISION array, dimension (min(M,N)). The scalar factors of the elementary reflectors, as returned by DGERQF.
• WORK — DOUBLE PRECISION array, dimension (LWORK).
• LWORK — INTEGER. The dimension of the array WORK.
• RWORK — DOUBLE PRECISION array, dimension (max(M,N)).
• RESULT — DOUBLE PRECISION array, dimension (2). The test ratios:
  • RESULT(1) = norm( R - A*Q' ) / ( N * norm(A) * EPS )
  • RESULT(2) = norm( I - Q*Q' ) / ( N * EPS )

👑 Author 👑

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

Definition at line 124 of file drqt01.f.

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🌟 Author 🌟

Generated automatically by Doxygen for LAPACK from the source code.

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That’s the whole page, bestie — cute little sign-off from LAPACK Version 3.12.0 for TESTING/LIN/drqt01.f(3). The footer doesn’t list a date, so no fake date energy here. 🫶✨