SQLT03(3)

okay bestie, this is sqlt03.f(3) from the Library Functions Manual — manual-name folded in, vibe immaculate. 💖

💖 NAME 💖

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/sqlt03.f

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

       subroutine SQLT03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork,
           result)
           SQLT03

🫶 Function/Subroutine Documentation 🫶

   subroutine SQLT03 (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)
       SQLT03

🎯 Purpose 🎯

Okay so SQLT03 tests SORMQL, which computes Q*C, Q'*C, C*Q or C*Q'. No cap, it compares the results of a call to SORMQL with the results of forming Q explicitly by a call to SORGQL and then performing matrix multiplication by a call to SGEMM. It’s giving “trust but verify,” and honestly slay. ✨

🧸 Parameters 🧸

• M — INTEGER. The order of the orthogonal matrix Q. M >= 0.
• N — INTEGER. The number of rows or columns of the matrix C; C is m-by-n if Q is applied from the left, or n-by-m if Q is applied from the right. N >= 0.
• K — INTEGER. The number of elementary reflectors whose product defines the orthogonal matrix Q. M >= K >= 0.
• AF — REAL array, dimension (LDA,N). Details of the QL factorization of an m-by-n matrix, as returned by SGEQLF. See SGEQLF for further details.
• C — REAL array, dimension (LDA,N).
• CC — REAL array, dimension (LDA,N).
• Q — REAL array, dimension (LDA,M).
• 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 QL 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 m-by-m orthogonal matrix Q.

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

🌸 Author 🌸

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

📍 Definition at line 134 of file sqlt03.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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💖 That’s the tea, bestie! LAPACK Version 3.12.0 — footer path /home/abui...IN/sqlt03.f(3) — generated automatically by Doxygen for LAPACK from the source code. The footer didn’t give us a date, so we’re not inventing one. 😭🫶✨