DGERQS(3)

💅 DGERQS(3) — Library Functions Manual 💅

okay bestie, welcome to DGERQS(3) from the Library Functions Manual! The page is chilling at /home/abui...IN/dgerqs.f(3), and it’s all about dgerqs.f — yes, the RQ-factorization bestie. 🦋✨

🌸 NAME 🌸

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

✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

subroutine DGERQS (m, n, nrhs, a, lda, tau, b, ldb, work, lwork, info)

DGERQS — that’s the subroutine, periodt. 💅

🦋 Function/Subroutine Documentation 🦋

subroutine DGERQS (integer m, integer n, integer nrhs, double precision,
    dimension( lda, * ) a, integer lda, double precision, dimension( * )
    tau, double precision, dimension( ldb, * ) b, integer ldb, double
    precision, dimension( lwork ) work, integer lwork, integer info)

DGERQS

🔥 Purpose 🔥

okay so the purpose is highkey iconic: compute a minimum-norm solution

!>
!> Compute a minimum-norm solution
!>     min || A*X - B ||
!> using the RQ factorization
!>     A = R*Q
!> computed by DGERQF.
!>

No cap, that’s the whole vibe: the RQ factorization is A = R*Q, computed by DGERQF, and we’re solving min || A*X - B ||. 💖

🌸 Parameters 🌸

• M — INTEGER. The number of rows of the matrix A. Constraint: M >= 0.
• N — INTEGER. The number of columns of the matrix A. Constraint: N >= M >= 0.
• NRHS — INTEGER. The number of columns of B. Constraint: NRHS >= 0.
• A — DOUBLE PRECISION array, dimension (LDA,N). Details of the RQ factorization of the original matrix A as returned by DGERQF.
• LDA — INTEGER. The leading dimension of the array A. Constraint: LDA >= M.
• TAU — DOUBLE PRECISION array, dimension (M). Details of the orthogonal matrix Q.
• B — DOUBLE PRECISION array, dimension (LDB,NRHS). On entry, the right hand side vectors for the linear system. On exit, the solution vectors X. Each solution vector is contained in rows 1:N of a column of B.
• LDB — INTEGER. The leading dimension of the array B. Constraint: LDB >= max(1,N).
• WORK — DOUBLE PRECISION array, dimension (LWORK).
• LWORK — INTEGER. The length of the array WORK. LWORK must be at least NRHS, and should be at least NRHS*NB, where NB is the block size for this environment.
• INFO — INTEGER. Exit status: = 0: successful exit; < 0: if INFO = -i, the i-th argument had an illegal value.

👑 Author 👑

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

Definition at line 120 of file dgerqs.f.

🧚 Author 🧚

Generated automatically by Doxygen for LAPACK from the source code.

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and that’s the whole page, bestie! 💖 The footer energy is LAPACK Version 3.12.0 and the page path is /home/abui...IN/dgerqs.f(3). Stay slay, factor responsibly. 🫶