SQLT02(3)

💅 SQLT02(3) 💅

okay bestie, welcome to SQLT02(3) from the Library Functions Manual. This is the LAPACK test routine and it is lowkey iconic linear algebra energy. ✨

🎀 NAME 🎀

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/sqlt02.f

✨ SYNOPSIS ✨

Functions/Subroutines

subroutine SQLT02 (m, n, k, a, af, q, l, lda, tau, work, lwork, rwork,
    result)
    SQLT02

🌸 Function/Subroutine Documentation 🌸

subroutine SQLT02 (integer m, integer n, integer k, real, dimension( lda, *
    ) a, real, dimension( lda, * ) af, real, dimension( lda, * ) q, real,
    dimension( lda, * ) l, integer lda, real, dimension( * ) tau, real,
    dimension( lwork ) work, integer lwork, real, dimension( * ) rwork,
    real, dimension( * ) result)
    SQLT02

🔥 Purpose 🔥

SQLT02 tests SORGQL, which generates an m-by-n matrix Q with orthonormal columns that is defined as the product of k elementary reflectors. 🫶

Given the QL factorization of an m-by-n matrix A, SQLT02 generates the orthogonal matrix Q defined by the factorization of the last k columns of A; it compares L(m-n+1:m,n-k+1:n) with Q(1:m,m-n+1:m)'*A(1:m,n-k+1:n), and checks that the columns of Q are orthonormal. No cap. 💅

🧚 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. M >= N >= 0.
• K — K is INTEGER. The number of elementary reflectors whose product defines the matrix Q. N >= K >= 0.
• A — A is REAL array, dimension (LDA,N). The m-by-n matrix A which was factorized by SQLT01.
• AF — AF is REAL array, dimension (LDA,N). Details of the QL factorization of A, as returned by SGEQLF. See SGEQLF for further details.
• Q — Q is REAL array, dimension (LDA,N).
• L — L is REAL array, dimension (LDA,N).
• LDA — LDA is INTEGER. The leading dimension of the arrays A, AF, Q and L. LDA >= M.
• TAU — TAU is REAL array, dimension (N). The scalar factors of the elementary reflectors corresponding to the QL factorization in AF.
• WORK — WORK is REAL 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 are:
  • 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 134 of file sqlt02.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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That’s the whole page, bestie! LAPACK Version 3.12.0 is the source/version vibe, and the footer path is /home/abui...IN/sqlt02.f(3). Slay. 💖