TESTING/LIN/crqt03.f(3)

💖 NAME 💖

Okay bestie, this page is for TESTING/LIN/crqt03.f in the LAPACK manual — the whole title/manual-name thing is folded right here near the top, so we are not copying that header line like an NPC. It's all about CRQT03, a test subroutine, and it's giving "I verify your RQ vibes" energy. 🦋

✨ SYNOPSIS ✨

🌸 Functions/Subroutines

subroutine crqt03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork,
    result)
CRQT03

🦋 Function/Subroutine Documentation

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

🎀 Purpose:

CRQT03 is the bestie that tests CUNMRQ, which computes Q*C, Q'*C, C*Q or C*Q'. No cap.

It 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. Iconic cross-check behavior, honestly. ✨

💅 Parameters

• M — M is INTEGER. It's 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 )

periodt. 💅

💖 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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Cute sign-off time, bestie: this footer situation is LAPACK, Version 3.12.0, source page TESTING/LIN/crqt03.f(3) — and no date is listed in this footer, so I'm not inventing one, okay? 💖✨🎀🦋