/home/abui.../cqrt01p.f(3)

🌸 NAME 🌸

okay bestie, this page is cqrt01p.f — header path /home/abui.../cqrt01p.f(3) — from the Library Functions Manual, aka LAPACK's iconic little corner of the Unix man-page universe. 💅

The full file path is exactly this:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/cqrt01p.f

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✨ SYNOPSIS ✨

🫶 Functions/Subroutines 🫶

There's one function here, and she's the whole moment: CQRT01P.

       subroutine CQRT01P (m, n, a, af, q, r, lda, tau, work, lwork, rwork,
           result)
           CQRT01P

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💖 Function/Subroutine Documentation 💖

🎀 subroutine CQRT01P 🎀

   subroutine CQRT01P (integer m, integer n, complex, dimension( lda, * ) a,
       complex, dimension( lda, * ) af, complex, dimension( lda, * ) q,
       complex, dimension( lda, * ) r, integer lda, complex, dimension( * )
       tau, complex, dimension( lwork ) work, integer lwork, real, dimension( *
       ) rwork, real, dimension( * ) result)
       CQRT01P

💡 Purpose 💡

CQRT01P tests CGEQRFP, which computes the QR factorization of an m-by-n matrix A, and partially tests CUNGQR, which forms the m-by-m orthogonal matrix Q. ✨

CQRT01P compares R with Q'*A, and checks that Q is orthogonal. No cap, that's the whole job. 🫶

🌟 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 array, dimension (LDA,N); the m-by-n matrix A. 🦋
• AF — AF is COMPLEX array, dimension (LDA,N); details of the QR factorization of A, as returned by CGEQRFP. See CGEQRFP for further details. 👑
• Q — Q is COMPLEX array, dimension (LDA,M); the m-by-m orthogonal matrix Q. 🌈
• R — R is COMPLEX array, dimension (LDA,max(M,N)). That's the whole note, bestie. 🎀
• LDA — LDA is INTEGER; the leading dimension of the arrays A, AF, Q and R. LDA >= max(M,N). 🔥
• TAU — TAU is COMPLEX array, dimension (min(M,N)); the scalar factors of the elementary reflectors, as returned by CGEQRFP. 💫
• WORK — WORK is COMPLEX array, dimension (LWORK). 🧚
• LWORK — LWORK is INTEGER; the dimension of the array WORK. 🌸
• RWORK — RWORK is REAL array, dimension (M). 💜
• RESULT — RESULT is REAL array, dimension (2); the test ratios:

RESULT(1) = norm( R - Q'*A ) / ( M * norm(A) * EPS )
RESULT(2) = norm( I - Q'*Q ) / ( M * EPS )

👑 Author 👑

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

Definition at line 124 of file cqrt01p.f. ⭐

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🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code. 🤖💖

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mwah 💋 — footer vibes: LAPACK, Version 3.12.0, /home/abui.../cqrt01p.f(3). That's the page, bestie — periodt. 🎀✨