CLQT01(3)

💖 NAME 💖

okay so bestie, this is the CLQT01(3) manual page — a whole Library Functions Manual moment — and the source path it's repping is:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/clqt01.f

✨ SYNOPSIS ✨

🫶 Functions/Subroutines 🫶

the synopsis goes like this, character-for-character:

       subroutine CLQT01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork,
           result)
           CLQT01

🌸 Function/Subroutine Documentation 🌸

🧚 subroutine CLQT01 🧚

full signature, exactly as it appears:

       subroutine CLQT01 (integer m, integer n, complex, dimension( lda, * ) a,
           complex, dimension( lda, * ) af, complex, dimension( lda, * ) q,
           complex, dimension( lda, * ) l, integer lda, complex, dimension( * )
           tau, complex, dimension( lwork ) work, integer lwork, real, dimension( *
           ) rwork, real, dimension( * ) result)

and the name is CLQT01, obviously 😌

💅 Purpose 💅

CLQT01 tests CGELQF, which computes the LQ factorization of an m-by-n matrix A, and partially tests CUNGLQ which forms the n-by-n orthogonal matrix Q.

CLQT01 compares L with A*Q', and checks that Q is orthogonal.

🍓 Parameters 🍓

• M — M is INTEGER; the number of rows of the matrix A. M >= 0.
• N — N is INTEGER; the number of columns of the matrix A. N >= 0.
• A — A is COMPLEX array, dimension (LDA,N); the m-by-n matrix A.
• AF — AF is COMPLEX array, dimension (LDA,N); details of the LQ factorization of A, as returned by CGELQF. See CGELQF for further details.
• Q — Q is COMPLEX array, dimension (LDA,N); the n-by-n orthogonal matrix Q.
• L — L is COMPLEX array, dimension (LDA,max(M,N)).
• LDA — LDA is INTEGER; the leading dimension of the arrays A, AF, Q and L. LDA >= max(M,N).
• TAU — TAU is COMPLEX array, dimension (min(M,N)); the scalar factors of the elementary reflectors, as returned by CGELQF.
• WORK — WORK is COMPLEX array, dimension (LWORK).
• LWORK — LWORK is INTEGER; the dimension of the array WORK.
• RWORK — RWORK is REAL array, dimension (max(M,N)).
• RESULT — RESULT is REAL array, dimension (2); the test ratios: RESULT(1) = norm( L - A*Q' ) / ( N * norm(A) * EPS ), RESULT(2) = norm( I - Q*Q' ) / ( N * EPS ).

👑 Author 👑

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

Definition at line 124 of file clqt01.f.

🎀 Author 🎀

Generated automatically by Doxygen for LAPACK from the source code.

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okay that's the page, bestie 💋 it's from LAPACK Version 3.12.0, and the footer path is /home/abui...IN/clqt01.f(3) — no date on this footer, just version-and-path energy ✨🫶