ZQLT01(3)

🦋 zqlt01.f(3) — Library Functions Manual

okay bestie, welcome to the LAPACK test-routine corner of the group chat 💅 this is the Library Functions Manual page for zqlt01.f(3), and it is lowkey iconic.

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🌸 NAME

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/zqlt01.f

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✨ SYNOPSIS

Functions/Subroutines

subroutine ZQLT01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork,
    result)
    ZQLT01

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🦋 Function/Subroutine Documentation

subroutine ZQLT01 (integer m, integer n, complex*16, dimension( lda, * ) a,
    complex*16, dimension( lda, * ) af, complex*16, dimension( lda, * ) q,
    complex*16, dimension( lda, * ) l, integer lda, complex*16, dimension( *
    ) tau, complex*16, dimension( lwork ) work, integer lwork, double
    precision, dimension( * ) rwork, double precision, dimension( * )
    result)
    ZQLT01

💖 Purpose

ZQLT01 is the vibe check for ZGEQLF — it tests ZGEQLF, which computes the QL factorization of an m-by-n matrix A, and it partially tests ZUNGQL, which forms the m-by-m orthogonal matrix Q.

ZQLT01 compares L with Q'*A, and checks that Q is orthogonal. No cap, that’s the whole assignment. ✨

🎀 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*16 array, dimension (LDA,N). The m-by-n matrix A.
• AF — AF is COMPLEX*16 array, dimension (LDA,N). Details of the QL factorization of A, as returned by ZGEQLF. See ZGEQLF for further details.
• Q — Q is COMPLEX*16 array, dimension (LDA,M). The m-by-m orthogonal matrix Q.
• L — L is COMPLEX*16 array, dimension (LDA,max(M,N)).
• LDA — LDA is INTEGER. The leading dimension of the arrays A, AF, Q and R. LDA >= max(M,N).
• TAU — TAU is COMPLEX*16 array, dimension (min(M,N)). The scalar factors of the elementary reflectors, as returned by ZGEQLF.
• WORK — WORK is COMPLEX*16 array, dimension (LWORK).
• LWORK — LWORK is INTEGER. The dimension of the array WORK.
• RWORK — RWORK is DOUBLE PRECISION array, dimension (M).
• RESULT — RESULT is DOUBLE PRECISION array, dimension (2). The test ratios:

RESULT(1) = norm( L - Q'*A ) / ( M * norm(A) * EPS )
RESULT(2) = norm( I - Q'*Q ) / ( M * EPS )

👑 Author

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

Definition at line 124 of file zqlt01.f.

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🌈 AUTHOR

Generated automatically by Doxygen for LAPACK from the source code.

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okay bye bestie 🫶 this footer is giving LAPACK Version 3.12.0 and the path /home/abui...IN/zqlt01.f(3). There’s no date printed in the original footer, so I’m not inventing one — periodt. 💅✨