TESTING/LIN/srqt03.f(3)

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version 3.12.1 · 2 versions
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🎀 NAME 🎀

okay bestie, welcome to TESTING/LIN/srqt03.f(3) from the Library Functions Manual — yes, this whole page is literally the TESTING/LIN/srqt03.f moment. slay 💅

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

  • subroutine srqt03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork, result) — SRQT03

💖 Function/Subroutine Documentation 💖

subroutine srqt03 (integer m, integer n, integer k, real, dimension( lda, * ) af, real, dimension( lda, * ) c, real, dimension( lda, * ) cc, real, dimension( lda, * ) q, integer lda, real, dimension( * ) tau, real, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)

SRQT03

🌸 Purpose 🌸

okay so SRQT03 is testing SORMRQ, which computes Q*C, Q'*C, C*Q or C*Q'.

and then SRQT03 compares the results of a call to SORMRQ with the results of forming Q explicitly by a call to SORGRQ and then performing matrix multiplication by a call to SGEMM. iconic behavior tbh ✨

🧚 Parameters 🧚

  • M — 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 — INTEGER. The order of the orthogonal matrix Q. N >= 0.
  • K — INTEGER. The number of elementary reflectors whose product defines the orthogonal matrix Q. N >= K >= 0.
  • AF — REAL array, dimension (LDA,N). Details of the RQ factorization of an m-by-n matrix, as returned by SGERQF. See SGERQF for further details.
  • C — REAL array, dimension (LDA,N).
  • CC — REAL array, dimension (LDA,N).
  • Q — REAL array, dimension (LDA,N).
  • LDA — INTEGER. The leading dimension of the arrays AF, C, CC, and Q.
  • TAU — REAL array, dimension (min(M,N)). The scalar factors of the elementary reflectors corresponding to the RQ factorization in AF.
  • WORK — REAL array, dimension (LWORK).
  • LWORK — INTEGER. The length of WORK. LWORK must be at least M, and should be M*NB, where NB is the blocksize for this environment.
  • RWORK — REAL array, dimension (M).
  • RESULT — REAL 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 srqt03.f.

✨ Author ✨

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that’s the tea, bestie — source/version: LAPACK Version 3.12.0 · page: TESTING/LIN/srqt03.f(3) · date: not listed in this footer, so I’m not inventing one 💀 mwah 💖🎀✨

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