SRC/zunmr3.f(3)

🌸 zunmr3.f — unblocked RZ subroutine, but make it group chat 🌸

okay so this is the Library Functions Manual page for SRC/zunmr3.f, and bestie, it's literally the LAPACK tea for zunmr3. No cap, this subroutine has main-character energy. 💅

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✨ NAME ✨

SRC/zunmr3.f

💅 SYNOPSIS 💅

🎀 Functions/Subroutines 🎀

subroutine zunmr3 (side, trans, m, n, k, l, a, lda, tau, c, ldc, work,
    info)

ZUNMR3 multiplies a general matrix by the unitary matrix from a RZ factorization determined by ctzrzf (unblocked algorithm).

🦋 Function/Subroutine Documentation 🦋

🌈 subroutine zunmr3 🌈

subroutine zunmr3 (character side, character trans, integer m, integer n,
    integer k, integer l, complex*16, dimension( lda, * ) a, integer lda,
    complex*16, dimension( * ) tau, complex*16, dimension( ldc, * ) c,
    integer ldc, complex*16, dimension( * ) work, integer info)

ZUNMR3 multiplies a general matrix by the unitary matrix from a RZ factorization determined by ctzrzf (unblocked algorithm).

💖 Purpose 💖

ok so ZUNMR3 overwrites the general complex m by n matrix C with:

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(2) . . . H(k)

as returned by ZTZRZF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'. 🔥

🍓 Parameters 🍓

• SIDE — SIDE is CHARACTER*1. = 'L': apply Q or Q**H from the Left; = 'R': apply Q or Q**H from the Right.
• 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.
• L — L is INTEGER. The number of columns of the matrix A containing the meaningful part of the Householder reflectors. If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.
• A — A is COMPLEX*16 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 ZTZRZF in the last k rows of its array argument A. A is modified by the routine but restored on exit.
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,K).
• TAU — TAU is COMPLEX*16 array, dimension (K). TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZTZRZF.
• 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.

👑 Author 👑

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

🧚 Contributors 🧚

• A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

🌸 Further Details 🌸

The original section is just an empty marker, so there is literally no extra lore here, bestie:

!>

📍 Definition at line 176 of file zunmr3.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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xoxo, your terminal bestie 💖✨ — with love from LAPACK Version 3.12.0, page SRC/zunmr3.f(3) 🫶💅