TESTING/LIN/cqlt01.f(3)

💖 TESTING/LIN/cqlt01.f(3) 💖

okay so welcome to the Library Functions Manual, bestie — this is the page for TESTING/LIN/cqlt01.f, and it is lowkey giving “I test QL factorization and I take that job very seriously” energy. 💅✨

🎀 NAME 🎀

TESTING/LIN/cqlt01.f

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

subroutine cqlt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)
CQLT01

🌸 Function/Subroutine Documentation 🌸

💜 subroutine cqlt01 💜

subroutine cqlt01 (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)
CQLT01

🌈 Purpose 🌈

CQLT01 tests CGEQLF, which computes the QL factorization of an m-by-n matrix A, and partially tests CUNGQL which forms the m-by-m orthogonal matrix Q.

CQLT01 compares L with Q'*A, 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 QL factorization of A, as returned by CGEQLF. See CGEQLF for further details.
• Q — Q is COMPLEX array, dimension (LDA,M). The m-by-m 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 R. LDA >= max(M,N).
• TAU — TAU is COMPLEX array, dimension (min(M,N)). The scalar factors of the elementary reflectors, as returned by CGEQLF.
• WORK — WORK is COMPLEX array, dimension (LWORK).
• LWORK — LWORK is INTEGER. The dimension of the array WORK.
• RWORK — RWORK is REAL array, dimension (M).
• RESULT — RESULT is REAL 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 cqlt01.f.

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👑 Author 👑

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xoxo, your Unix bestie 💖 — LAPACK, Version 3.12.0, page TESTING/LIN/cqlt01.f(3). Periodt. 🫶✨