CUNMRQ(3)

🌸 NAME 🌸

okay bestie, this page is cunmrq.f(3) from the Library Functions Manual — and the NAME line is literally this path, no cap:

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

✨ SYNOPSIS ✨

🫶 Functions/Subroutines 🫶

here’s the subroutine drop, bestie:

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

💅 Function/Subroutine Documentation 💅

full signature vibes:

   subroutine CUNMRQ (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 lwork, integer info)
       CUNMRQ

🎀 Purpose 🎀

okay so CUNMRQ overwrites the general complex M-by-N matrix C with the table below — yes, this is the whole plot:

                 SIDE = 'L'     SIDE = 'R'
TRANS = 'N':      Q * C          C * Q
TRANS = 'C':      Q**H * C       C * Q**H

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 — SIDE is CHARACTER*1. = 'L': apply Q or Q**H from the Left; = 'R': apply Q or Q**H from the Right. pick your side ✨
• TRANS — TRANS is CHARACTER*1. = 'N': No transpose, apply Q; = 'C': Conjugate transpose, apply Q**H. it’s giving transpose realness 🦋
• 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 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.
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,K).
• TAU — TAU is COMPLEX array, dimension (K). TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CGERQF.
• C — 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. not me checking my matrix twice 😭
• LDC — LDC is INTEGER. The leading dimension of the array C. LDC >= max(1,M).
• WORK — WORK is COMPLEX array, dimension (MAX(1,LWORK)). On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
• LWORK — LWORK is INTEGER. The dimension of the array WORK. If SIDE = 'L', LWORK >= max(1,N); if SIDE = 'R', LWORK >= max(1,M). For good performance, LWORK should generally be larger. If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA. iykyk 🧚
• INFO — 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 166 of file cunmrq.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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and that’s the page, bestie 💖 — it came from LAPACK Version 3.12.0 and the page path is /home/abui...RC/cunmrq.f(3). vibe check complete, periodt 🫶✨