ZLQT03(3)

💖 ZLQT03(3) — bestie, this is the ZLQT03 page from the Library Functions Manual 💖

okay so literally the whole vibe is: this is ZLQT03(3), and the file it's documenting is /home/abui...IN/zlqt03.f. We're testing ZUNMLQ, comparing it with explicitly forming Q, and keeping every single parameter detail because we are not skipping the lore. ✨

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🌸 NAME 🌸

• /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/zlqt03.f — that's the name, periodt. 🎀

✨ SYNOPSIS ✨

Functions/Subroutines

   subroutine ZLQT03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork,
       result)
       ZLQT03

💅 Function/Subroutine Documentation 💅

   subroutine ZLQT03 (integer m, integer n, integer k, complex*16, dimension(
       lda, * ) af, complex*16, dimension( lda, * ) c, complex*16, dimension(
       lda, * ) cc, complex*16, dimension( lda, * ) q, integer lda, complex*16,
       dimension( * ) tau, complex*16, dimension( lwork ) work, integer lwork,
       double precision, dimension( * ) rwork, double precision, dimension( * )
       result)
       ZLQT03

🎀 Purpose 🎀

ZLQT03 tests ZUNMLQ, which computes Q*C, Q'*C, C*Q or C*Q'.

ZLQT03 compares the results of a call to ZUNMLQ with the results of forming Q explicitly by a call to ZUNGLQ and then performing matrix multiplication by a call to ZGEMM. That's the tea. 🫶

🍓 Parameters 🍓

• M — M is INTEGER. The number of rows or columns of the matrix C; C is n-by-m if Q is applied from the left, or m-by-n if Q is applied from the right. M >= 0. 💖
• N — N is INTEGER. The order of the orthogonal matrix Q. N >= 0. ✨
• K — K is INTEGER. The number of elementary reflectors whose product defines the orthogonal matrix Q. N >= K >= 0. 💅
• AF — AF is COMPLEX*16 array, dimension (LDA,N). Details of the LQ factorization of an m-by-n matrix, as returned by ZGELQF. See CGELQF for further details. 🦋
• C — C is COMPLEX*16 array, dimension (LDA,N). That's it, that's the whole description. No extra lore. 🌸
• CC — CC is COMPLEX*16 array, dimension (LDA,N). Same energy. 🎀
• Q — Q is COMPLEX*16 array, dimension (LDA,N). Iconic. 👑
• LDA — LDA is INTEGER. The leading dimension of the arrays AF, C, CC, and Q. ⭐
• TAU — TAU is COMPLEX*16 array, dimension (min(M,N)). 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 length of WORK. LWORK must be at least M, and should be M*NB, where NB is the blocksize for this environment. No cap, size matters here. 🧚
• RWORK — RWORK is DOUBLE PRECISION array, dimension (M). 🌈
• RESULT — RESULT is DOUBLE PRECISION array, dimension (4). The test ratios compare two techniques for multiplying a random matrix C by an n-by-n orthogonal matrix Q.

RESULT(1) = norm( Q*C - Q*C )  / ( N * norm(C) * EPS )
RESULT(2) = norm( C*Q - C*Q )  / ( N * norm(C) * EPS )
RESULT(3) = norm( Q'*C - Q'*C )/ ( N * norm(C) * EPS )
RESULT(4) = norm( C*Q' - C*Q' )/ ( N * norm(C) * EPS )

👑 Author 👑

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

Definition at line 134 of file zlqt03.f.

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

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💖 xoxo, this page is finished — footer energy is LAPACK Version 3.12.0 and /home/abui...IN/zlqt03.f(3). Slay, bestie. 🎀✨