ZUNM2L(3)

🌸 NAME 🌸

Library Functions Manual, bestie — page zunm2l.f(3). The NAME section here is literally just this source-file path, no cap:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zunm2l.f

That’s the whole name vibe. 💅

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✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

   subroutine ZUNM2L (side, trans, m, n, k, a, lda, tau, c, ldc, work,
       info)

ZUNM2L multiplies a general matrix by the unitary matrix from a QL factorization determined by cgeqlf (unblocked algorithm).

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🎀 Function/Subroutine Documentation 🎀

Okay so here’s the actual signature, character for character:

   subroutine ZUNM2L (character side, character trans, integer m, integer n,
       integer k, complex*16, dimension( lda, * ) a, integer lda, complex*16,
       dimension( * ) tau, complex*16, dimension( ldc, * ) c, integer ldc,
       complex*16, dimension( * ) work, integer info)

ZUNM2L multiplies a general matrix by the unitary matrix from a QL factorization determined by cgeqlf (unblocked algorithm).

💖 Purpose 💖

Okay bestie, ZUNM2L overwrites the general complex m-by-n matrix C with one of these four situations:

Q * C  if SIDE = 'L' and TRANS = 'N', or
Q**H* C  if SIDE = 'L' and TRANS = 'C', or
C * Q  if SIDE = 'R' and TRANS = 'N', or
C * Q**H if SIDE = 'R' and TRANS = 'C',

where Q is a complex unitary matrix defined as the product of k elementary reflectors:

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

as returned by ZGEQLF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'. Slay. ✨

🌈 Parameters 🌈

• SIDE — SIDE is CHARACTER*1. = 'L': apply Q or Q**H from the Left; = 'R': apply Q or Q**H from the Right. It’s giving “pick a side,” literally.
• TRANS — TRANS is CHARACTER*1. = 'N': apply Q (No transpose); = 'C': apply Q**H (Conjugate transpose).
• M — M is INTEGER. The number of rows of the matrix C. M >= 0.
• N — N is INTEGER. The number of columns of the matrix C. N >= 0.
• K — K is INTEGER. The number of elementary reflectors whose product defines the matrix Q. If SIDE = 'L', M >= K >= 0; if SIDE = 'R', N >= K >= 0.
• A — A is COMPLEX*16 array, dimension (LDA,K). The i-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by ZGEQLF in the last k columns of its array argument A. A is modified by the routine but restored on exit. Respect the restore, bestie. 🫶
• LDA — LDA is INTEGER. The leading dimension of the array A. If SIDE = 'L', LDA >= max(1,M); if SIDE = 'R', LDA >= max(1,N).
• TAU — TAU is COMPLEX*16 array, dimension (K). TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGEQLF.
• C — C is COMPLEX*16 array, dimension (LDC,N). On entry, the m-by-n matrix C. On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.
• LDC — LDC is INTEGER. The leading dimension of the array C. LDC >= max(1,M).
• WORK — WORK is COMPLEX*16 array, dimension (N) if SIDE = 'L', (M) if SIDE = 'R'.
• INFO — INFO is INTEGER. = 0: successful exit. < 0: if INFO = -i, the i-th argument had an illegal value. Rude, but at least it tells you which one. 💀

👑 Author 👑

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

📌 Definition at line 157 of file zunm2l.f. 📌

Definition at line 157 of file zunm2l.f.

🫶 Author 🫶

Generated automatically by Doxygen for LAPACK from the source code.

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Cute sign-off, bestie: this page is from LAPACK, Version 3.12.0, and the footer path is /home/abui...RC/zunm2l.f(3). No date line in the footer — that’s the whole vibe. 💅✨