SRC/zungr2.f(3)

✨ SRC/zungr2.f ✨

okay so bestie, welcome to the Library Functions Manual page for SRC/zungr2.f — yes, that's the whole vibe, and we're getting into it. 💅

🌸 NAME 🌸

SRC/zungr2.f

✨ SYNOPSIS ✨

🫶 Functions/Subroutines

• subroutine zungr2 (m, n, k, a, lda, tau, work, info) — ZUNGR2 generates all or part of the unitary matrix Q from an RQ factorization determined by cgerqf (unblocked algorithm).

🎀 Function/Subroutine Documentation 🎀

💖 subroutine zungr2

subroutine zungr2 (integer m, integer n, integer k, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) tau, complex*16, dimension( * ) work, integer info)

ZUNGR2 generates all or part of the unitary matrix Q from an RQ factorization determined by cgerqf (unblocked algorithm).

✨ Purpose ✨

okay so here's the actual goal, no cap: ZUNGR2 generates an m by n complex matrix Q with orthonormal rows, which is defined as the last m rows of a product of k elementary reflectors of order n:

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

...exactly as returned by ZGERQF. 🦋

🌸 Parameters 🌸

• M — M is INTEGER. The number of rows of the matrix Q. M >= 0. 💖
• N — N is INTEGER. The number of columns of the matrix Q. N >= M. ✨
• K — K is INTEGER. The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0. 🎀
• A — A is COMPLEX*16 array, dimension (LDA,N). On entry, the (m-k+i)-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by ZGERQF in the last k rows of its array argument A. On exit, the m-by-n matrix Q. 🦋
• LDA — LDA is INTEGER. The first dimension of the array A. LDA >= max(1,M). 💅
• TAU — TAU is COMPLEX*16 array, dimension (K). TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGERQF. 🌸
• WORK — WORK is COMPLEX*16 array, dimension (M). 🫶
• INFO — 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 113 of file zungr2.f.

💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code.

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okay bestie, that's the whole page. It's from LAPACK, and the footer says LAPACK Version 3.12.0 SRC/zungr2.f(3) — iconic source/version energy, periodt. Stay slay, and may your reflectors always be elementary. 💖✨🎀