CLQT03(3)

okay bestie, welcome to CLQT03(3) — it's a Library Functions Manual page, and the header's manual-name energy is clqt03.f(3). We are folding that in near the top like a fitted cardigan, not copy-pasting the header line. 💅

🌸 NAME 🌸

The NAME section is literally one path, and we are keeping it exactly:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/clqt03.f

That's the name. That's the whole NAME. No notes. 🎀

✨ SYNOPSIS ✨

💖 Functions/Subroutines 💖

Here's the short synopsis, because the function is the main character:

subroutine CLQT03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork,
    result)

and then the name once more, slay: CLQT03.

🦋 Function/Subroutine Documentation 🦋

🎀 subroutine CLQT03 🎀

Here's the full signature, every type and dimension intact:

subroutine CLQT03 (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)

and yes, the name again: CLQT03.

💅 Purpose 💅

CLQT03 tests CUNMLQ, which computes Q*C, Q'*C, C*Q or C*Q'.

CLQT03 compares the results of a call to CUNMLQ with the results of forming Q explicitly by a call to CUNGLQ and then performing matrix multiplication by a call to CGEMM.

🌈 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 LQ factorization of an m-by-n matrix, as returned by CGELQF. See CGELQF 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 LQ 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 clqt03.f.

🌟 Author 🌟

Generated automatically by Doxygen for LAPACK from the source code.

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cute sign-off, bestie: this is from LAPACK Version 3.12.0, and the footer source-path is /home/abui...IN/clqt03.f(3). The page shows no separate date, so I'm not inventing one — periodt. 💖