SRC/DEPRECATED/zgeqrs.f(3)

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version 3.12.1 · 3 versions
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💅 SRC/DEPRECATED/zgeqrs.f(3) 💅

okay bestie, welcome to the Library Functions Manual corner of the group chat 🌸 this page is literally about SRC/DEPRECATED/zgeqrs.f, which is giving “yes I live in the deprecated folder, and yes I still slay” energy 💀✨ let’s get into the zgeqrs subroutine, no cap.

✨ NAME ✨

SRC/DEPRECATED/zgeqrs.f

That’s the whole name, bestie. Iconic minimalism 🎀

🦋 SYNOPSIS 🦋

🧸 Functions/Subroutines

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

ZGEQRS

👑 Function/Subroutine Documentation 👑

subroutine zgeqrs (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)

ZGEQRS

🌟 Purpose 🌟

Solve the least squares problem

min || A*X - B ||

using the QR factorization

A = Q*R

computed by ZGEQRF.

that’s the whole main-character mission, bestie 💖

🌸 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 QR factorization of the original matrix A as returned by ZGEQRF.
  • 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.
  • 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
vibe check on INFO: non-negative? cute. negative? one of your arguments was not it, and INFO is telling you exactly which one 😭💅

🎀 Author 🎀

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

🔍 Definition at line 119 of file zgeqrs.f. 🔍

Definition at line 119 of file zgeqrs.f.

🤖 Author 🤖

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— LAPACK • Version 3.12.0 • SRC/DEPRECATED/zgeqrs.f(3) — mwah 💋✨

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