SRC/cungl2.f(3)

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version 3.12.1 · 7 versions
, in arch rolling

💅 SRC/cungl2.f 💅

okay so bestie, this page is from the Library Functions Manual and it's about SRC/cungl2.f — yes, the file name is literally the whole name section. We're doing LAPACK math today, and it's giving iconic unblocked algorithm energy. 🦋

✨ NAME ✨

SRC/cungl2.f — that's the name, no cap. It's the page for the cungl2 subroutine, and the vibes are very "complex matrix, orthonormal rows, let's go." 💖

🌸 SYNOPSIS 🌸

Functions/Subroutines

  • subroutine cungl2 (m, n, k, a, lda, tau, work, info) — CUNGL2 generates all or part of the unitary matrix Q from an LQ factorization determined by cgelqf (unblocked algorithm). Slay. ✨

🦋 Function/Subroutine Documentation 🦋

💫 subroutine cungl2

   subroutine cungl2 (integer m, integer n, integer k, complex, dimension( lda,
       * ) a, integer lda, complex, dimension( * ) tau, complex, dimension( * )
       work, integer info)

CUNGL2 generates all or part of the unitary matrix Q from an LQ factorization determined by cgelqf (unblocked algorithm). Main character energy fr fr. 💅

🌟 Purpose

CUNGL2 generates an m-by-n complex matrix Q with orthonormal rows, which is defined as the first m rows of a product of k elementary reflectors of order n:

Q  =  H(k)**H . . . H(2)**H H(1)**H

as returned by CGELQF. 🫶

🎀 Parameters

  • M — is INTEGER. The number of rows of the matrix Q. M >= 0. Periodt.
  • N — is INTEGER. The number of columns of the matrix Q. N >= M.
  • K — is INTEGER. The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.
  • A — is COMPLEX array, dimension (LDA,N). On entry, the i-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by CGELQF in the first k rows of its array argument A. On exit, the m by n matrix Q.
  • LDA — is INTEGER. The first dimension of the array A. LDA >= max(1,M).
  • TAU — is COMPLEX array, dimension (K). TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CGELQF.
  • WORK — is COMPLEX array, dimension (M).
  • INFO — is INTEGER.
    • = 0: successful exit
    • < 0: if INFO = -i, the i-th argument has an illegal value

🌈 Author

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

Definition at line 112 of file cungl2.f. 👑

👑 Author

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Signing off with LAPACK Version 3.12.0 on the SRC/cungl2.f(3) page — that's the source/version footer info, date-slot energy and all, repped cutely. Bye bestie! 💖✨🎀

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