ZUNGL2(3)

💅 ZUNGL2(3) — Library Functions Manual

Okay bestie, this is the ZUNGL2(3) page, and the manual it lives in is the Library Functions Manual. The source path is literally:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zungl2.f

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🌸 NAME

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zungl2.f

✨ SYNOPSIS ✨

🧚 Functions/Subroutines

subroutine ZUNGL2 (m, n, k, a, lda, tau, work, info)

ZUNGL2 generates all or part of the unitary matrix Q from an LQ factorization determined by cgelqf (unblocked algorithm).

🦋 Function/Subroutine Documentation

subroutine ZUNGL2 (integer m, integer n, integer k, complex*16, dimension(
       lda, * ) a, integer lda, complex*16, dimension( * ) tau, complex*16,
       dimension( * ) work, integer info)

ZUNGL2 generates all or part of the unitary matrix Q from an LQ factorization determined by cgelqf (unblocked algorithm).

🎀 Purpose:

Okay so ZUNGL2 generates an m-by-n complex matrix Q with orthonormal rows, and Q 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 ZGELQF. That's the whole vibe. ✨

🌈 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 i-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by ZGELQF in the first 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 ZGELQF.

🍓 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 112 of file zungl2.f.

🫶 Author

Generated automatically by Doxygen for LAPACK from the source code.

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That’s the whole page, bestie. The footer is giving LAPACK Version 3.12.0 and /home/abui...RC/zungl2.f(3). Periodt. 💅✨