TESTING/LIN/sqlt01.f(3)

🎀 NAME

okay so this is the TESTING/LIN/sqlt01.f(3) page, straight out of the Library Functions Manual. The star of the show is TESTING/LIN/sqlt01.f, and it is lowkey all about testing a QL factorization vibe. ✨

🦋 SYNOPSIS

🧚 Functions/Subroutines

• subroutine sqlt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result) — SQLT01

💅 Function/Subroutine Documentation

subroutine sqlt01 (integer m, integer n, 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)

SQLT01 — yes bestie, that's the icon. 👑

💖 Purpose

SQLT01 tests SGEQLF, which computes the QL factorization of an m-by-n matrix A, and partially tests SORGQL which forms the m-by-m orthogonal matrix Q.

SQLT01 compares L with Q'*A, and checks that Q is orthogonal. No cap, that's the whole assignment. 🫶

🍓 Parameters

• M — M is INTEGER; the number of rows of the matrix A. M >= 0.
• N — N is INTEGER; the number of columns of the matrix A. N >= 0.
• A — A is REAL array, dimension (LDA,N); the m-by-n matrix A.
• 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,M); the m-by-m orthogonal matrix Q.
• L — L is REAL array, dimension (LDA,max(M,N)).
• LDA — LDA is INTEGER; the leading dimension of the arrays A, AF, Q and R. LDA >= max(M,N).
• TAU — TAU is REAL array, dimension (min(M,N)); the scalar factors of the elementary reflectors, as returned by SGEQLF.
• 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:

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 124 of file sqlt01.f.

🤖 Author

Generated automatically by Doxygen for LAPACK from the source code.

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💖 That's the whole page, bestie! Source/version at the very end: LAPACK Version 3.12.0 for TESTING/LIN/sqlt01.f(3) — and no separate date was listed in that footer, just the page path and version. Mwah! 🫶🎀