CQLT01(3)

💖 NAME 💖

Okay bestie, this page is for the file at /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/cqlt01.f. That's the name, periodt. Also hi from the Library Functions Manual 💅

✨ SYNOPSIS ✨

🫶 Functions/Subroutines 🫶

       subroutine CQLT01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork,
           result)
           CQLT01

🦋 Function/Subroutine Documentation 🦋

📝 CQLT01, the signature, literally 📝

   subroutine CQLT01 (integer m, integer n, complex, dimension( lda, * ) a,
       complex, dimension( lda, * ) af, complex, dimension( lda, * ) q,
       complex, dimension( lda, * ) l, integer lda, complex, dimension( * )
       tau, complex, dimension( lwork ) work, integer lwork, real, dimension( *
       ) rwork, real, dimension( * ) result)
       CQLT01

🎯 Purpose 🎯

CQLT01 tests CGEQLF, which computes the QL factorization of an m-by-n matrix A, and partially tests CUNGQL which forms the m-by-m orthogonal matrix Q.

CQLT01 compares L with Q'*A, and checks that Q is orthogonal. Slay.

🎀 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 COMPLEX array, dimension (LDA,N). The m-by-n matrix A.
• AF — AF is COMPLEX array, dimension (LDA,N). Details of the QL factorization of A, as returned by CGEQLF. See CGEQLF for further details.
• Q — Q is COMPLEX array, dimension (LDA,M). The m-by-m orthogonal matrix Q.
• L — L is COMPLEX 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 COMPLEX array, dimension (min(M,N)). The scalar factors of the elementary reflectors, as returned by CGEQLF.
• WORK — WORK is COMPLEX 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 cqlt01.f.

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🤖 Author 🤖

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