TESTING/LIN/slqt01.f(3)

🎀 TESTING/LIN/slqt01.f 🎀

okay so bestie, this is the TESTING/LIN/slqt01.f page from the LAPACK manual — yes, the (3) section one — and it's giving “test routine with receipts” energy 💅

✨ NAME ✨

TESTING/LIN/slqt01.f

🌸 SYNOPSIS 🌸

🧚 Functions/Subroutines 🧚

• subroutine slqt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)
• SLQT01

🦋 Function/Subroutine Documentation 🦋

subroutine slqt01 (integer m, integer n, real, dimension( lda, * ) a, real,
    dimension( lda, * ) af, real, dimension( lda, * ) q, real, dimension(
    lda, * ) l, integer lda, real, dimension( * ) tau, real, dimension(
    lwork ) work, integer lwork, real, dimension( * ) rwork, real,
    dimension( * ) result)

SLQT01

🌟 Purpose 🌟

SLQT01 tests SGELQF, which computes the LQ factorization of an m-by-n matrix A, and partially tests SORGLQ which forms the n-by-n orthogonal matrix Q.

SLQT01 compares L with A*Q', and checks that Q is orthogonal. fr fr, that's the whole vibe check.

💖 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 REAL array, dimension (LDA,N); the m-by-n matrix A.
• AF — AF is REAL array, dimension (LDA,N); details of the LQ factorization of A, as returned by SGELQF. See SGELQF for further details.
• Q — Q is REAL array, dimension (LDA,N); the n-by-n orthogonal matrix Q.
• L — L is REAL array, dimension (LDA,max(M,N)).
• LDA — LDA is INTEGER; the leading dimension of the arrays A, AF, Q and L. Constraint: LDA >= max(M,N).
• TAU — TAU is REAL array, dimension (min(M,N)); the scalar factors of the elementary reflectors, as returned by SGELQF.
• WORK — WORK is REAL array, dimension (LWORK).
• LWORK — LWORK is INTEGER; the dimension of the array WORK.
• RWORK — RWORK is REAL array, dimension (max(M,N)).
• RESULT — RESULT is REAL array, dimension (2); the test ratios:

RESULT(1) = norm( L - 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 📌

Definition at line 124 of file slqt01.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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okay bye bestie 🫶 — this was LAPACK Version 3.12.0, generated automatically by Doxygen for LAPACK from the source code. periodt 💅✨