CLQT02(3)

Bestie, welcome to the CLQT02(3) page — the raw header title is /home/abui...IN/clqt02.f(3), and the manual name is Library Functions Manual. We folded that in instead of copy-pasting the whole header line, because we have taste. 💅✨

💖 NAME 💖

The name is literally this exact path: /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/clqt02.f — yes, the whole path, iykyk. 🫶

🌸 SYNOPSIS 🌸

🧚 Functions/Subroutines 🧚

• subroutine CLQT02 (m, n, k, a, af, q, l, lda, tau, work, lwork, rwork, result)
  • CLQT02

🦋 Function/Subroutine Documentation 🦋

   subroutine CLQT02 (integer m, integer n, integer k, 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)

That’s CLQT02 again — main character energy, honestly. 👑

🎀 Purpose 🎀

Okay so CLQT02 tests CUNGLQ, which generates an m-by-n matrix Q with orthonormal rows that is defined as the product of k elementary reflectors. 🦋

Given the LQ factorization of an m-by-n matrix A, CLQT02 generates the orthogonal matrix Q defined by the factorization of the first k rows of A; it compares L(1:k,1:m) with A(1:k,1:n)*Q(1:m,1:n)', and checks that the rows of Q are orthonormal. Periodt. 💅

✨ Parameters ✨

• M — M is INTEGER. The number of rows of the matrix Q to be generated. M >= 0.
• N — N is INTEGER. The number of columns of the matrix Q to be generated. N >= M >= 0.
• K — K is INTEGER. The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.
• A — A is COMPLEX array, dimension (LDA,N). The m-by-n matrix A which was factorized by CLQT01.
• 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).
• L — L is COMPLEX array, dimension (LDA,M).
• LDA — LDA is INTEGER. The leading dimension of the arrays A, AF, Q and L. LDA >= N.
• TAU — TAU is COMPLEX array, dimension (M). The scalar factors of the elementary reflectors corresponding to the LQ factorization in AF.
• 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 - 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 133 of file clqt02.f.

🌟 Author 🌟

Generated automatically by Doxygen for LAPACK from the source code.

Cute sign-off: source/version/date info is LAPACK Version 3.12.0 and footer path /home/abui...IN/clqt02.f(3) — slay and goodbye 💖✨