SLQT03(3)

💅 SLQT03(3) — Library Functions Manual ✨

okay bestie, welcome to the group chat for SLQT03 💖 — it’s a LAPACK test routine from the Library Functions Manual, and it’s literally here to vibe-check SORMLQ. No cap. 🎀

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🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/slqt03.f

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✨ SYNOPSIS ✨

🫶 Functions/Subroutines 🫶

subroutine SLQT03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork,
    result)
    SLQT03

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🔥 Function/Subroutine Documentation 🔥

👑 subroutine SLQT03 👑

subroutine SLQT03 (integer m, integer n, integer k, real, dimension( lda, *
       ) af, real, dimension( lda, * ) c, real, dimension( lda, * ) cc, real,
       dimension( lda, * ) q, integer lda, real, dimension( * ) tau, real,
       dimension( lwork ) work, integer lwork, real, dimension( * ) rwork,
       real, dimension( * ) result)
       SLQT03

🦋 Purpose 🦋

SLQT03 tests SORMLQ, which computes Q*C, Q'*C, C*Q or C*Q'.

SLQT03 compares the results of a call to SORMLQ with the results of forming Q explicitly by a call to SORGLQ and then performing matrix multiplication by a call to SGEMM.

🎀 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 REAL array, dimension (LDA,N). Details of the LQ factorization of an m-by-n matrix, as returned by SGELQF. See SGELQF for further details.
• C — C is REAL array, dimension (LDA,N).
• CC — CC is REAL array, dimension (LDA,N).
• Q — Q is REAL array, dimension (LDA,N).
• LDA — LDA is INTEGER. The leading dimension of the arrays AF, C, CC, and Q.
• TAU — TAU is REAL array, dimension (min(M,N)). The scalar factors of the elementary reflectors corresponding to the LQ factorization in AF.
• WORK — WORK is REAL 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 slqt03.f.

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🧚 Author 🧚

Generated automatically by Doxygen for LAPACK from the source code.

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xoxo, LAPACK Version 3.12.0, source /home/abui...IN/slqt03.f(3) 💖