DQLT01(3)

🎀 DQLT01(3) — Library Functions Manual 🎀

okay bestie, this is the manual page for DQLT01(3) from the Library Functions Manual. It’s giving “LAPACK test routine main character energy,” and we’re gonna get into every single detail. 💅

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🎀 NAME 🎀

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/dqlt01.f

That’s the file path, fr fr. The routine itself is DQLT01. Periodt. ✨

✨ SYNOPSIS ✨

💅 Functions/Subroutines 💅

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

DQLT01

🦋 Function/Subroutine Documentation 🦋

✨ subroutine DQLT01 ✨

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

🎀 Purpose 🎀

Okay so DQLT01 is lowkey the vibe-checker for DGEQLF, which computes the QL factorization of an m-by-n matrix A. It also partially tests DORGQL, which forms the m-by-m orthogonal matrix Q.

DQLT01 compares L with Q'*A, and checks that Q is orthogonal. That’s the whole assignment, bestie. Obsessed. 💖

🌈 Parameters 🌈

• M — M is INTEGER; the number of rows of the matrix A. Constraint: M >= 0.
• N — N is INTEGER; the number of columns of the matrix A. Constraint: 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. Constraint: 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:
  • 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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xoxo, your LAPACK bestie 💖 — footer vibes: LAPACK Version 3.12.0, page path /home/abui...IN/dqlt01.f(3). Date isn’t listed in the footer, so no fake date from me, periodt. 💀