ZGERQS(3)

💅 NAME 💅

okay so this is the zgerqs.f(3) page from the Library Functions Manual, bestie, and it's all about this LAPACK file right here:

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

Literally that exact path. It's the ZGERQS subroutine and its whole main-character documentation moment. 💖

✨ SYNOPSIS ✨

🫶 Functions/Subroutines 🫶

• subroutine ZGERQS (m, n, nrhs, a, lda, tau, b, ldb, work, lwork, info) — the ZGERQS icon itself. 👑

🧚 Function/Subroutine Documentation 🧚

🌸 subroutine ZGERQS 🌸

   subroutine ZGERQS (integer m, integer n, integer nrhs, complex*16,
       dimension( lda, * ) a, integer lda, complex*16, dimension( * ) tau,
       complex*16, dimension( ldb, * ) b, integer ldb, complex*16, dimension(
       lwork ) work, integer lwork, integer info)

ZGERQS — yes, the name again, because she's the moment. 👑

💜 Purpose 💜

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

So basically: minimum-norm solution, min || A*X - B ||, via the RQ factorization A = R*Q computed by ZGERQF. 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 >= M >= 0. 🦋
• NRHS — NRHS is INTEGER; the number of columns of B. NRHS >= 0. 🌸
• A — A is COMPLEX*16 array, dimension (LDA,N); details of the RQ factorization of the original matrix A as returned by ZGERQF. 🔥
• LDA — LDA is INTEGER; the leading dimension of the array A. LDA >= M. 👑
• TAU — TAU is COMPLEX*16 array, dimension (M); details of the orthogonal matrix Q. 🎀
• B — B is COMPLEX*16 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 — LDB is INTEGER; the leading dimension of the array B. LDB >= max(1,N). 🌈
• WORK — WORK is COMPLEX*16 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. 💀

👑 Author 👑

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

📌 Definition 📌

Definition at line 120 of file zgerqs.f.

💫 Author 💫

Generated automatically by Doxygen for LAPACK from the source code.

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that's the whole page, bestie 🫶 — LAPACK Version 3.12.0, with the footer path /home/abui...IN/zgerqs.f(3). The original footer didn't give a date, so no fake date energy here, periodt. 💅