SGERQS(3)

🎀 NAME 🎀

okay bestie, this is the sgerqs.f page from the Library Functions Manual — yes, the whole file path is literally:

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

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✨ SYNOPSIS ✨

Functions/Subroutines

• subroutine SGERQS (m, n, nrhs, a, lda, tau, b, ldb, work, lwork, info) — this is the main character, <rainbow>SGERQS</rainbow> 💅

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🦋 Function/Subroutine Documentation 🦋

subroutine SGERQS

subroutine SGERQS (integer m, integer n, integer nrhs, real, dimension( lda,
    * ) a, integer lda, real, dimension( * ) tau, real, dimension( ldb, * )
    b, integer ldb, real, dimension( lwork ) work, integer lwork, integer
    info)

and yep, the routine’s name is exactly SGERQS. iconic. 👑

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🍓 Purpose 🍓

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

translation for my besties: <pink>SGERQS</pink> computes a minimum-norm solution

min || A*X - B ||

using the RQ factorization

A = R*Q

computed by SGERQF. that’s the whole assignment, no cap. ✨

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🧚 Parameters 🧚

• M — bestie, M is INTEGER, and it’s the number of rows of the matrix A. rule: M >= 0.
• N — N is INTEGER, the number of columns of the matrix A. rule: N >= M >= 0.
• NRHS — NRHS is INTEGER, the number of columns of B. rule: NRHS >= 0.
• A — A is REAL array, dimension (LDA,N). it holds details of the RQ factorization of the original matrix A as returned by SGERQF.
• LDA — LDA is INTEGER, the leading dimension of the array A. rule: LDA >= M.
• TAU — TAU is REAL array, dimension (M). it holds details of the orthogonal matrix Q.
• B — B is REAL array, dimension (LDB,NRHS). on entry, it’s the right hand side vectors for the linear system. on exit, it’s the solution vectors X. each solution vector is contained in rows 1:N of a column of B.
• LDB — LDB is INTEGER, the leading dimension of the array B. rule: LDB >= max(1,N).
• WORK — WORK is REAL array, dimension (LWORK).
• LWORK — LWORK is 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 — INFO is INTEGER. = 0: successful exit. < 0: if INFO = -i, the i-th argument had an illegal value.

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👑 Author 👑

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

Definition at line 120 of file sgerqs.f.

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🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code. 🤖💖

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signing off from LAPACK Version 3.12.0, page /home/abui...IN/sgerqs.f(3) — slay your linear algebra, bestie! 💅✨🫶