CQLT03(3)

✨ CQLT03(3) — the cqlt03(3) manual page ✨

okay bestie, welcome to cqlt03(3) from the Library Functions Manual — this page is all about the CQLT03 subroutine, and it's giving serious LAPACK testing energy. 💅

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💖 NAME 💖

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/cqlt03.f

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🌸 SYNOPSIS 🌸

🧚 Functions/Subroutines

subroutine CQLT03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork,
    result)
    CQLT03

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📚 Function/Subroutine Documentation 📚

subroutine CQLT03 (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)
    CQLT03

🎯 Purpose 🎯

Okay so CQLT03 tests CUNMQL, which computes Q*C, Q'*C, C*Q or C*Q'. 💖

CQLT03 compares the results of a call to CUNMQL with the results of forming Q explicitly by a call to CUNGQL and then performing matrix multiplication by a call to CGEMM. It's a whole comparison moment, no cap. ✨

🧩 Parameters 🧩

• M — M is INTEGER. The order of the orthogonal matrix Q. M >= 0. 👑
• N — N is INTEGER. The number of rows or columns of the matrix C; C is m-by-n if Q is applied from the left, or n-by-m if Q is applied from the right. N >= 0.
• K — K is INTEGER. The number of elementary reflectors whose product defines the orthogonal matrix Q. M >= K >= 0.
• AF — AF is COMPLEX array, dimension (LDA,N). Details of the QL factorization of an m-by-n matrix, as returned by CGEQLF. See CGEQLF for further details. 🦋
• C — C is COMPLEX array, dimension (LDA,N). That's the whole spec, bestie.
• CC — CC is COMPLEX array, dimension (LDA,N). Also just the type-and-dimension vibe.
• Q — Q is COMPLEX array, dimension (LDA,M). Main-character array energy, honestly.
• 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 QL 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 m-by-m orthogonal matrix Q.

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

🫶 Author 🫶

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

📍 Definition at line 134 of file cqlt03.f.

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🤖 Author 🤖

Generated automatically by Doxygen for LAPACK from the source code.

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💖 cute sign-off: this beauty is from LAPACK Version 3.12.0, source /home/abui...IN/cqlt03.f(3) — the footer doesn’t list a date, so that’s the whole footer vibe, bestie. Mwah! 💖