ZRQT01(3)

✨ NAME ✨

okay so bestie, this is the zrqt01.f(3) page from the Library Functions Manual — header path /home/abui...IN/zrqt01.f(3), if you're keeping track. The source file for this one is exactly:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/zrqt01.f

🎀 SYNOPSIS 🎀

Functions/Subroutines

• ZRQT01 — the subroutine, with this exact synopsis:

subroutine ZRQT01 (m, n, a, af, q, r, lda, tau, work, lwork, rwork,
    result)

🦋 Function/Subroutine Documentation 🦋

subroutine ZRQT01 (integer m, integer n, complex*16, dimension( lda, * ) a,
    complex*16, dimension( lda, * ) af, complex*16, dimension( lda, * ) q,
    complex*16, dimension( lda, * ) r, integer lda, complex*16, dimension( *
    ) tau, complex*16, dimension( lwork ) work, integer lwork, double
    precision, dimension( * ) rwork, double precision, dimension( * )
    result)

ZRQT01 — yes, that's the name again, and it's giving main-character subroutine energy.

💖 Purpose 💖

okay so ZRQT01 tests ZGERQF, which computes the RQ factorization of an m-by-n matrix A, and partially tests ZUNGRQ, which forms the n-by-n orthogonal matrix Q.

ZRQT01 compares R with A*Q', and checks that Q is orthogonal. slay.

🌸 Parameters 🌸

• M — M is INTEGER. The number of rows of the matrix A. M >= 0.
• N — N is INTEGER. The number of columns of the matrix A. N >= 0.
• A — A is COMPLEX*16 array, dimension (LDA,N). The m-by-n matrix A.
• AF — AF is COMPLEX*16 array, dimension (LDA,N). Details of the RQ factorization of A, as returned by ZGERQF. See ZGERQF for further details.
• Q — Q is COMPLEX*16 array, dimension (LDA,N). The n-by-n orthogonal matrix Q.
• R — R is COMPLEX*16 array, dimension (LDA,max(M,N)).
• LDA — LDA is INTEGER. The leading dimension of the arrays A, AF, Q and L. LDA >= max(M,N).
• TAU — TAU is COMPLEX*16 array, dimension (min(M,N)). The scalar factors of the elementary reflectors, as returned by ZGERQF.
• WORK — WORK is COMPLEX*16 array, dimension (LWORK).
• LWORK — LWORK is INTEGER. The dimension of the array WORK.
• RWORK — RWORK is DOUBLE PRECISION array, dimension (max(M,N)).
• RESULT — RESULT is DOUBLE PRECISION 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 zrqt01.f.

💜 Author

Generated automatically by Doxygen for LAPACK from the source code.

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and that's the whole vibe check, bestie: signing off from LAPACK Version 3.12.0, page /home/abui...IN/zrqt01.f(3). 🫶✨