DRQT01(3)

💖 DRQT01(3) 💖

Library Functions Manual — bestie, we are deep in LAPACK testing land. No cap. 🧚

🌸 NAME 🌸

The NAME section is literally this path, character for character:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/drqt01.f

That's the whole name entry. Iconic minimalism, honestly. 💅

✨ SYNOPSIS ✨

Functions/Subroutines

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

🦋 Function/Subroutine Documentation 🦋

Here's the full signature, copied exactly:

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

🎀 Purpose: 🎀

The original gives this in comment form, and we're keeping all the facts:

!>
!> 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.
!>

🍓 Parameters 🍓

• M — M is INTEGER. The number of rows of the matrix A. M >= 0.
• N — N is INTEGER. The number of columns of the matrix A. N >= 0.
• A — A is DOUBLE PRECISION array, dimension (LDA,N). The m-by-n matrix A.
• AF — AF is DOUBLE PRECISION array, dimension (LDA,N). Details of the RQ factorization of A, as returned by DGERQF. See DGERQF for further details.
• Q — Q is DOUBLE PRECISION array, dimension (LDA,N). The n-by-n orthogonal matrix Q.
• R — R is DOUBLE PRECISION array, dimension (LDA,max(M,N)).
• LDA — LDA is INTEGER. The leading dimension of the arrays A, AF, Q and L. LDA >= max(M,N). (yes, the original says L here — we're not editing it, don't come for me 💀)
• TAU — TAU is DOUBLE PRECISION array, dimension (min(M,N)). The scalar factors of the elementary reflectors, as returned by DGERQF.
• WORK — WORK is DOUBLE PRECISION array, dimension (LWORK).
• LWORK — LWORK is INTEGER. The dimension of the array WORK.
• RWORK — RWORK is DOUBLE PRECISION array, dimension (max(M,N)).
• RESULT — RESULT is 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.

🖋️ Author 🖋️

Top-level author, generated:

Generated automatically by Doxygen for LAPACK from the source code.

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That's the whole page, bestie. Footer flex: LAPACK Version 3.12.0 and the path /home/abui...IN/drqt01.f(3). Mwah 💋