SRC/DEPRECATED/zgelqs.f(3)

📦
version 3.12.1 · 3 versions
, in arch rolling

🌸 NAME 🌸

SRC/DEPRECATED/zgelqs.f — bestie, this is the Library Functions Manual page for the ZGELQS routine, and it’s literally the file named SRC/DEPRECATED/zgelqs.f(3). It’s giving linear algebra main character energy, fr fr. 🫶✨

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

  • subroutine zgelqs (m, n, nrhs, a, lda, tau, b, ldb, work, lwork, info) — ZGELQS

💖 Function/Subroutine Documentation 💖

🎀 subroutine zgelqs 🎀

subroutine zgelqs (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)

ZGELQS

🌟 Purpose 🌟

Okay so the mission, no cap: compute a minimum-norm solution

min || A*X - B ||

using the LQ factorization

A = L*Q

computed by ZGELQF. That’s the whole glow-up. ✨

🍓 Parameters 🍓

  • M — M is INTEGER, aka the number of rows of the matrix A. Constraint: M >= 0.
  • N — N is INTEGER, the number of columns of the matrix A. Constraint: N >= M >= 0.
  • NRHS — NRHS is INTEGER, the number of columns of B. Constraint: NRHS >= 0.
  • A — A is COMPLEX*16 array, dimension (LDA,N). It holds details of the LQ factorization of the original matrix A as returned by ZGELQF.
  • LDA — LDA is INTEGER, the leading dimension of the array A. Constraint: LDA >= M.
  • TAU — TAU is COMPLEX*16 array, dimension (M). It holds details of the orthogonal matrix Q.
  • B — B is COMPLEX*16 array, dimension (LDB,NRHS). On entry, it’s the m-by-nrhs right hand side matrix B. On exit, it’s the n-by-nrhs solution matrix X.
  • LDB — LDB is INTEGER, the leading dimension of the array B. Constraint: LDB >= 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 at line 119 of file zgelqs.f. 📌

🦋 Author 🦋

Generated automatically by Doxygen for LAPACK from the source code.

Okay bestie, that’s the whole page 💜 signing off from LAPACK Version 3.12.0, source SRC/DEPRECATED/zgelqs.f(3). Periodt. 🫶✨

📦 where this page comes from