CUNMR2(3)

💖 NAME 💖

okay so bestie, this is the CUNMR2(3) page from the LAPACK library functions manual — manual name folded in right here like a little name tag 🎀. The NAME section is literally just this file path, no extra lore:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/cunmr2.f

and the whole vibe is: CUNMR2 multiplies a general matrix by the unitary matrix from a RQ factorization determined by cgerqf (unblocked algorithm). 💅

---

🦋 SYNOPSIS 🦋

✨ Functions/Subroutines ✨

subroutine CUNMR2 (side, trans, m, n, k, a, lda, tau, c, ldc, work,
    info)

CUNMR2 multiplies a general matrix by the unitary matrix from a RQ factorization determined by cgerqf (unblocked algorithm). no cap, that's the whole synopsis vibe 🫶

---

🎀 Function/Subroutine Documentation 🎀

subroutine CUNMR2 (character side, character trans, integer m, integer n,
    integer k, complex, dimension( lda, * ) a, integer lda, complex,
    dimension( * ) tau, complex, dimension( ldc, * ) c, integer ldc,
    complex, dimension( * ) work, integer info)

CUNMR2 multiplies a general matrix by the unitary matrix from a RQ factorization determined by cgerqf (unblocked algorithm). iconic honestly 👑

✨ Purpose ✨

ok so here's the tea, bestie: CUNMR2 overwrites the general complex m-by-n matrix C with one of these, depending on SIDE and TRANS:

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

as returned by CGERQF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'. slay 💅

🌸 Parameters 🌸

• SIDE — is CHARACTER*1. Set it to 'L' to apply Q or Q**H from the Left, or 'R' to apply Q or Q**H from the Right. 👑
• TRANS — is CHARACTER*1. 'N' means apply Q (No transpose); 'C' means apply Q**H (Conjugate transpose). 🔥
• M — is INTEGER. The number of rows of the matrix C. M >= 0. 🫶
• N — is INTEGER. The number of columns of the matrix C. N >= 0. 🌸
• K — is INTEGER. The number of elementary reflectors whose product defines the matrix Q. If SIDE = 'L', then M >= K >= 0; if SIDE = 'R', then N >= K >= 0. ✨
• A — is COMPLEX array, dimension (LDA,M) if SIDE = 'L', (LDA,N) if SIDE = 'R'. The i-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by CGERQF in the last k rows of its array argument A. A is modified by the routine but restored on exit. 🦋
• LDA — is INTEGER. The leading dimension of the array A. LDA >= max(1,K). 💜
• TAU — is COMPLEX array, dimension (K). TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CGERQF. 🎀
• C — is COMPLEX 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 — is INTEGER. The leading dimension of the array C. LDC >= max(1,M). ⭐
• WORK — is COMPLEX array, dimension (N) if SIDE = 'L', (M) if SIDE = 'R'. 🍓
• INFO — is INTEGER. = 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 157 of file cunmr2.f. 📌

---

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code. 🧚

---

and that's the whole page, bestie 💖 — signing off with LAPACK Version 3.12.0 and the footer path /home/abui...RC/cunmr2.f(3). no date in the footer, so I'm not gonna invent one 🙈 periodt. 🎀