ZLQT02(3)

hey bestie, welcome to ZLQT02(3), straight out of the Library Functions Manual 💅✨

🌸 NAME 🌸

This page is about ZLQT02, and its source file is literally:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/zlqt02.f

✨ SYNOPSIS ✨

Functions/Subroutines

subroutine ZLQT02 (m, n, k, a, af, q, l, lda, tau, work, lwork, rwork,
           result)
           ZLQT02

💖 Function/Subroutine Documentation 💖

Full signature, character for character, no cap:

subroutine ZLQT02 (integer m, integer n, integer k, 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)
       ZLQT02

🫶 Purpose 🫶

okay so the whole vibe of ZLQT02 is that it tests ZUNGLQ, 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, ZLQT02 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*16 array, dimension (LDA,N). The m-by-n matrix A which was factorized by ZLQT01.
• AF — AF is COMPLEX*16 array, dimension (LDA,N). Details of the LQ factorization of A, as returned by ZGELQF. See ZGELQF for further details.
• Q — Q is COMPLEX*16 array, dimension (LDA,N).
• L — L is COMPLEX*16 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*16 array, dimension (M). The scalar factors of the elementary reflectors corresponding to the LQ factorization in AF.
• 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 - 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 zlqt02.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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Footer sign-off: LAPACK Version 3.12.0, source path /home/abui...IN/zlqt02.f(3). No extra date is printed in this footer, so that's the whole footer vibe — mwah 💋✨