CRQT03(3)

okay bestie, welcome to the Library Functions Manual 💖 this is the page for CRQT03, and the header path is literally /home/abui...IN/crqt03.f(3). No cap, we’re keeping every dimension, condition, equation, and author line exactly as written. ✨

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/crqt03.f — that’s the file this page is about, periodt. 🎀

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

here’s the callable, bestie:

subroutine CRQT03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork,
    result)

and the routine name is CRQT03. 💅

💖 Function/Subroutine Documentation 💖

full signature, character-for-character:

subroutine CRQT03 (integer m, integer n, integer k, complex, dimension( lda,
    * ) af, complex, dimension( lda, * ) c, complex, dimension( lda, * ) cc,
    complex, dimension( lda, * ) q, integer lda, complex, dimension( * )
    tau, complex, dimension( lwork ) work, integer lwork, real, dimension( *
    ) rwork, real, dimension( * ) result)

CRQT03 — that’s the main character. 👑

🧚 Purpose 🧚

okay so CRQT03 tests CUNMRQ, which computes Q*C, Q'*C, C*Q or C*Q'. 💫

CRQT03 compares the results of a call to CUNMRQ with the results of forming Q explicitly by a call to CUNGRQ and then performing matrix multiplication by a call to CGEMM. That’s the whole assignment, no cap. 🫶

🌈 Parameters 🌈

• M — M is INTEGER. The number of rows or columns of the matrix C; C is n-by-m if Q is applied from the left, or m-by-n if Q is applied from the right. M >= 0. 💖
• N — N is INTEGER. The order of the orthogonal matrix Q. N >= 0. ✨
• K — K is INTEGER. The number of elementary reflectors whose product defines the orthogonal matrix Q. N >= K >= 0. 🎀
• AF — AF is COMPLEX array, dimension (LDA,N). Details of the RQ factorization of an m-by-n matrix, as returned by CGERQF. See CGERQF for further details. 🦋
• C — C is COMPLEX array, dimension (LDA,N). 🌸
• CC — CC is COMPLEX array, dimension (LDA,N). 💅
• Q — Q is COMPLEX array, dimension (LDA,N). 🫶
• LDA — LDA is INTEGER. The leading dimension of the arrays AF, C, CC, and Q. 😭
• TAU — TAU is COMPLEX array, dimension (min(M,N)). The scalar factors of the elementary reflectors corresponding to the RQ factorization in AF. 🔥
• WORK — WORK is COMPLEX array, dimension (LWORK). 👑
• LWORK — LWORK is INTEGER. The length of WORK. LWORK must be at least M, and should be M*NB, where NB is the blocksize for this environment. 🌈
• RWORK — RWORK is REAL array, dimension (M). ⭐
• RESULT — RESULT is REAL array, dimension (4). The test ratios compare two techniques for multiplying a random matrix C by an n-by-n orthogonal matrix Q. 💀

RESULT(1) = norm( Q*C - Q*C )  / ( N * norm(C) * EPS )
RESULT(2) = norm( C*Q - C*Q )  / ( N * norm(C) * EPS )
RESULT(3) = norm( Q'*C - Q'*C )/ ( N * norm(C) * EPS )
RESULT(4) = norm( C*Q' - C*Q' )/ ( N * norm(C) * EPS )

👑 Author 👑

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

Definition at line 134 of file crqt03.f. 🎯

💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code. 🧚

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okay that’s the whole page, bestie 💖 the sign-off/source version is LAPACK Version 3.12.0, and the footer path is /home/abui...IN/crqt03.f(3) — there’s no date in the original footer, so we’re not inventing one. slay, bye! 🎀✨