SRQT01(3)

💅 NAME 💅

okay bestie, welcome to the srqt01.f(3) page from the Library Functions Manual 💖. The NAME line is literally this path, no cap:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/srqt01.f

That's it. That's the name. Slay.

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✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

the synopsis is giving:

subroutine SRQT01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork,
    result)
    SRQT01

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🦋 Function/Subroutine Documentation 🦋

okay so the full signature, character-for-character, is:

subroutine SRQT01 (integer m, integer n, real, dimension( lda, * ) a, real,
    dimension( lda, * ) af, real, dimension( lda, * ) q, real, dimension(
    lda, * ) r, integer lda, real, dimension( * ) tau, real, dimension(
    lwork ) work, integer lwork, real, dimension( * ) rwork, real,
    dimension( * ) result)

and the routine name stamped on it is SRQT01 ✨.

🎀 Purpose 🎀

SRQT01 tests SGERQF, which computes the RQ factorization of an m-by-n matrix A, and partially tests SORGRQ which forms the n-by-n orthogonal matrix Q.

SRQT01 compares R with A*Q', and checks that Q is orthogonal. that's the whole vibe check right there 💜

🌸 Parameters 🌸

• M — M is INTEGER; the number of rows of the matrix A. M >= 0. zero is the floor, bestie 💖
• N — N is INTEGER; the number of columns of the matrix A. N >= 0. again, no negative nonsense ✨
• A — A is REAL array, dimension (LDA,N); the m-by-n matrix A. main character matrix energy 🦋
• AF — AF is REAL array, dimension (LDA,N); details of the RQ factorization of A, as returned by SGERQF. See SGERQF for further details. iykyk 👑
• Q — Q is REAL array, dimension (LDA,N); the n-by-n orthogonal matrix Q. orthogonal icon behavior 💅
• R — R is REAL array, dimension (LDA,max(M,N)). that's the whole description, no extra lore 🎀
• LDA — LDA is INTEGER; the leading dimension of the arrays A, AF, Q and L. LDA >= max(M,N). yes it says L, keep that exactly, iykyk 👀
• TAU — TAU is REAL array, dimension (min(M,N)); the scalar factors of the elementary reflectors, as returned by SGERQF. reflectors understood the assignment ✨
• WORK — WORK is REAL array, dimension (LWORK). just vibes and workspace 🍓
• LWORK — LWORK is INTEGER; the dimension of the array WORK. size matters, but only for WORK 💀
• RWORK — RWORK is REAL array, dimension (max(M,N)). real array, real useful 🫶
• RESULT — RESULT is REAL array, dimension (2); the test ratios:
  • RESULT(1) = norm( R - A*Q' ) / ( N * norm(A) * EPS )
  • RESULT(2) = norm( I - Q*Q' ) / ( N * EPS )

these are the numbers that tell you if it slayed or flopped 🔥

LDA warning, bestie: LDA >= max(M,N) — do not fudge this, fr fr 😭.

💜 Author 💜

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

Definition at line 124 of file srqt01.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 🫶. Cute sign-off: this is LAPACK Version 3.12.0 and the footer path is /home/abui...IN/srqt01.f(3). Mwah 💋✨