ZLQT01(3)

💖 NAME 💖

okay so bestie, this is the manual page for ZLQT01(3) from the Library Functions Manual. The NAME section is literally just this file path:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/zlqt01.f

That's the whole NAME vibe. 💅

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🦋 SYNOPSIS 🦋

Functions/Subroutines

subroutine ZLQT01 — the short signature, exactly as the page shows it:

subroutine ZLQT01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork,
    result)

ZLQT01 is the main character here. 👑

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💅 Function/Subroutine Documentation 💅

Full signature, no cap — exactly as it appears:

subroutine ZLQT01 (integer m, integer n, complex*16, dimension( lda, * ) a,
    complex*16, dimension( lda, * ) af, complex*16, dimension( lda, * ) q,
    complex*16, dimension( lda, * ) l, integer lda, complex*16, dimension( *
    ) tau, complex*16, dimension( lwork ) work, integer lwork, double
    precision, dimension( * ) rwork, double precision, dimension( * )
    result)

The routine is ZLQT01. That's the full signature block, bestie.

✨ Purpose ✨

ZLQT01 is the tester for ZGELQF — and ZGELQF is the routine that computes the LQ factorization of an m-by-n matrix A. ZLQT01 also partially tests ZUNGLQ, which forms the n-by-n orthogonal matrix Q.

It compares L with A*Q', and it checks that Q is orthogonal. That's the tea. 🫶

🍓 Parameters 🍓

• M — INTEGER. The number of rows of the matrix A. M >= 0.
• N — INTEGER. The number of columns of the matrix A. N >= 0.
• A — COMPLEX*16 array, dimension (LDA,N). This is the m-by-n matrix A.
• AF — COMPLEX*16 array, dimension (LDA,N). Details of the LQ factorization of A, as returned by ZGELQF. See ZGELQF for further details.
• Q — COMPLEX*16 array, dimension (LDA,N). The n-by-n orthogonal matrix Q.
• L — COMPLEX*16 array, dimension (LDA,max(M,N)).
• LDA — INTEGER. The leading dimension of the arrays A, AF, Q and L. LDA >= max(M,N).
• TAU — COMPLEX*16 array, dimension (min(M,N)). The scalar factors of the elementary reflectors, as returned by ZGELQF.
• WORK — COMPLEX*16 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( L - A*Q' ) / ( N * norm(A) * EPS )
  • RESULT(2) = norm( I - Q*Q' ) / ( N * EPS )

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👑 Author 👑

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

Definition at line 124 of file zlqt01.f.

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🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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okay that's the whole page, bestie. Signing off with the footer tea: LAPACK, Version 3.12.0, and the source path /home/abui...IN/zlqt01.f(3). Periodt. 💅✨