TESTING/LIN/zgeqls.f(3)

📦
version 3.12.1 · 3 versions
, in arch rolling

💅 NAME 💅

TESTING/LIN/zgeqls.f — okay bestie, that's the file. This page is TESTING/LIN/zgeqls.f(3), and the manual name is Library Functions Manual. We're talking about the zgeqls subroutine, and it's giving LAPACK testing energy. 🎀

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

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

🦋 Function/Subroutine Documentation 🦋

Here's the full signature, bestie — same names, same types, same order, no cap:

   subroutine zgeqls (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)
       ZGEQLS

🌈 Purpose 🌈

Solve the least squares problem

min || A*X - B ||

using the QL factorization

A = Q*L

computed by ZGEQLF.

🧸 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. M >= N >= 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 QL factorization of the original matrix A as returned by ZGEQLF.
  • LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= M.
  • TAU — TAU is COMPLEX*16 array, dimension (N). Details of the orthogonal matrix Q.
  • B — B is COMPLEX*16 array, dimension (LDB,NRHS). On entry, the m-by-nrhs right hand side matrix B. On exit, the n-by-nrhs solution matrix X, stored in rows m-n+1:m.
  • LDB — LDB is INTEGER. The leading dimension of the array B. LDB >= M.
  • 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 at line 120 of file zgeqls.f.

🌸 Author 🌸

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Okay that's the whole page, bestie 💖. Footer sign-off: LAPACK, Version 3.12.0, page TESTING/LIN/zgeqls.f(3). No separate date is printed in that footer, so I'm not inventing one — periodt. 🫶

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