/home/abui...D/zgeqrs.f(3)

📦 version 3.12.0, in opensuse-leap 16.0

💖 NAME 💖

Library Functions Manual bestie! This page is literally for:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/DEPRECATED/zgeqrs.f

Yes, the whole path. No cap, that's the NAME. 💅

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

  • subroutine ZGEQRS (m, n, nrhs, a, lda, tau, b, ldb, work, lwork, info) — the subroutine, periodt. ZGEQRS.

🌸 Function/Subroutine Documentation 🌸

🎀 subroutine ZGEQRS 🎀

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 vibe. ✨

🍓 Parameters 🍓

  • M — M is INTEGER. It's the number of rows of the matrix A. Constraint: M >= 0.
  • N — N is INTEGER. It's the number of columns of the matrix A. Constraint: M >= N >= 0.
  • NRHS — NRHS is INTEGER. It's the number of columns of B. Constraint: NRHS >= 0.
  • A — A is COMPLEX*16 array, dimension (LDA,N). It holds details of the QR factorization of the original matrix A as returned by ZGEQRF. Iconic.
  • LDA — LDA is INTEGER. It's the leading dimension of the array A. Constraint: LDA >= M.
  • TAU — TAU is COMPLEX*16 array, dimension (N). It holds 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. Glow-up moment 💅.
  • LDB — LDB is INTEGER. It's the leading dimension of the array B. Constraint: LDB >= M.
  • WORK — WORK is COMPLEX*16 array, dimension (LWORK).
  • LWORK — LWORK is INTEGER. It's 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. Highkey important 🫶.
  • INFO — INFO is INTEGER. The tea ☕:
    • = 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 zgeqrs.f.

🌈 Author 🌈

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