/home/abui.../zqrt01p.f(3)

💅 /home/abui.../zqrt01p.f(3) — Library Functions Manual 💅

Hey bestie, welcome to the manual page for /home/abui.../zqrt01p.f(3). It lives in the Library Functions Manual, and it’s all about a LAPACK test routine. Buckle up, because this one is very “math girlie goes to the testing directory.” 💖

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/zqrt01p.f

Yep, that’s the whole name section. It’s giving “my full government name is a path.” 💀

🦋 SYNOPSIS 🦋

✨ Functions/Subroutines ✨

• subroutine ZQRT01P (m, n, a, af, q, r, lda, tau, work, lwork, rwork, result) — ZQRT01P

📚 Function/Subroutine Documentation 📚

subroutine ZQRT01P (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)

ZQRT01P

🎯 Purpose

Ok so, ZQRT01P tests ZGEQRFP, which computes the QR factorization of an m-by-n matrix A, and it partially tests ZUNGQR which forms the m-by-m orthogonal matrix Q.

ZQRT01P compares R with Q'*A, 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 QR factorization of A, as returned by ZGEQRFP. See ZGEQRFP for further details.
• Q — Q is COMPLEX*16 array, dimension (LDA,M); the m-by-m 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 R. LDA >= max(M,N).
• TAU — TAU is COMPLEX*16 array, dimension (min(M,N)); the scalar factors of the elementary reflectors, as returned by ZGEQRFP.
• 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 (M).
• RESULT — RESULT is DOUBLE PRECISION array, dimension (2); the test ratios:
  • RESULT(1) = norm( R - Q'*A ) / ( M * norm(A) * EPS )
  • RESULT(2) = norm( I - Q'*Q ) / ( M * EPS )

Note bestie: those >= bounds and the exact dimensions are the whole vibe check. Don’t skip them. 💅

👑 Author

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

📍 Definition at line 124 of file zqrt01p.f.

🧚 Author 🧚

Generated automatically by Doxygen for LAPACK from the source code.

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And that’s the tea! 🍓 This page is from LAPACK Version 3.12.0, and the file path is /home/abui.../zqrt01p.f(3). Catch you later, bestie — stay orthogonal. 💖✨