TESTING/LIN/dqlt01.f(3)

🌸 NAME 🌸

TESTING/LIN/dqlt01.f — that's the name, bestie, and this whole page is from the Library Functions Manual. It's giving "subroutine documentation" and we're seated. 💅

✨ SYNOPSIS ✨

🛠️ Functions/Subroutines 🛠️

       subroutine dqlt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork,
           result)
           DQLT01

💅 Function/Subroutine Documentation 💅

   subroutine dqlt01 (integer m, integer n, double precision, dimension( lda, *
       ) a, double precision, dimension( lda, * ) af, double precision,
       dimension( lda, * ) q, double precision, dimension( lda, * ) l, integer
       lda, double precision, dimension( * ) tau, double precision, dimension(
       lwork ) work, integer lwork, double precision, dimension( * ) rwork,
       double precision, dimension( * ) result)
       DQLT01

DQLT01

🧚 Purpose 🧚

Okay so DQLT01 tests DGEQLF, which computes the QL factorization of an m-by-n matrix A, and it partially tests DORGQL, which forms the m-by-m orthogonal matrix Q. ✨

DQLT01 compares L with Q'*A, and checks that Q is orthogonal. No cap, that's the whole vibe check. 🦋

🍓 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 QL factorization of A, as returned by DGEQLF. See DGEQLF for further details.
• Q — Q is DOUBLE PRECISION array, dimension (LDA,M); the m-by-m orthogonal matrix Q.
• L — L is DOUBLE PRECISION array, dimension (LDA,max(M,N)).
• LDA — LDA is INTEGER; the leading dimension of the arrays A, AF, Q and R. LDA >= max(M,N).
• TAU — TAU is DOUBLE PRECISION array, dimension (min(M,N)); the scalar factors of the elementary reflectors, as returned by DGEQLF.
• 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 (M).
• RESULT — RESULT is DOUBLE PRECISION array, dimension (2). The test ratios are:

RESULT(1) = norm( L - Q'*A ) / ( M * norm(A) * EPS )
RESULT(2) = norm( I - Q'*Q ) / ( M * EPS )

👑 Author 👑

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

Definition at line 124 of file dqlt01.f.

🫶 Author 🫶

Generated automatically by Doxygen for LAPACK from the source code.

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okay bestie, that's the whole tea. This footer moment is brought to you by LAPACK Version 3.12.0 and TESTING/LIN/dqlt01.f(3) — mwah, bye! 🎀💖