TESTING/LIN/zqlt01.f(3)

💖 NAME 💖

TESTING/LIN/zqlt01.f — bestie, this is the manual page for TESTING/LIN/zqlt01.f, and the manual name is folded in right near the top like a little name tag. Iconic. 💅

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✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

• subroutine zqlt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result) — the function/subroutine lineup for ZQLT01. Slay.

🧚 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 is the main character here. No cap. 👑

🎀 Purpose 🎀

Okay so bestie, ZQLT01 is out here testing ZGEQLF, which computes the QL factorization of an m-by-n matrix A, and it also partially tests ZUNGQL which forms the m-by-m orthogonal matrix Q. Literally the whole squad. 💖

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

🌸 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.

💫 Author 💫

Status: Generated automatically by Doxygen for LAPACK from the source code.

xoxo, your LAPACK bestie 💖 — source/version footer tea: LAPACK Version 3.12.0, TESTING/LIN/zqlt01.f(3), and the date is not shown on this page, so I’m not inventing one. Periodt. 🌈