TESTING/LIN/srqt01.f(3)

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💖 TESTING/LIN/srqt01.f 💖

okay so bestie, this page is from the Library Functions Manual and it’s all about TESTING/LIN/srqt01.f — no cap, that’s the whole filename. 🫶

✨ NAME ✨

TESTING/LIN/srqt01.f — literally the name, periodt. 💅

✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

  • subroutine srqt01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result) — the one and only SRQT01.

🦋 Function/Subroutine Documentation 🦋

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)

🌟 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. ✨

🎀 Parameters 🎀

  • M — M is INTEGER, and it’s the number of rows of the matrix A. M >= 0.
  • N — N is INTEGER, and it’s the number of columns of the matrix A. N >= 0.
  • A — A is REAL array, dimension (LDA,N). It’s the m-by-n matrix A.
  • AF — AF is REAL array, dimension (LDA,N). It holds details of the RQ factorization of A, as returned by SGERQF. See SGERQF for further details.
  • Q — Q is REAL array, dimension (LDA,N). It’s the n-by-n orthogonal matrix Q.
  • R — R is REAL array, dimension (LDA,max(M,N)).
  • LDA — LDA is INTEGER, and it’s the leading dimension of the arrays A, AF, Q and L. LDA >= max(M,N).
  • TAU — TAU is REAL array, dimension (min(M,N)). It holds the scalar factors of the elementary reflectors, as returned by SGERQF.
  • WORK — WORK is REAL array, dimension (LWORK).
  • LWORK — LWORK is INTEGER, and it’s 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( R - 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 124 of file srqt01.f.

💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code.

okay bestie, that’s the whole page, and the footer vibe is LAPACK Version 3.12.0 on TESTING/LIN/srqt01.f(3) — iconic, fr fr. 🫶✨💅

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