ZUNMRZ(3)

💅 ZUNMRZ(3) — Library Functions Manual 💅

okay bestie, this is the manual page for /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zunmrz.f, and yes, that whole path is the main character. She's from the Library Functions Manual and she's here to explain ZUNMRZ.

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✨ NAME ✨

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zunmrz.f — literally the whole file path. Not a nickname, not a vibe, just the NAME. Periodt. 💅

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✨ SYNOPSIS ✨

Functions/Subroutines

• subroutine ZUNMRZ (side, trans, m, n, k, l, a, lda, tau, c, ldc, work, lwork, info) — ZUNMRZ

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✨ Function/Subroutine Documentation ✨

subroutine ZUNMRZ (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 lwork, integer info)

ZUNMRZ — bestie, that's the full signature, every type and dimension exactly as written.

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✨ Purpose ✨

So ZUNMRZ overwrites the general complex M-by-N matrix C with:

              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(2) . . . H(k)

as returned by ZTZRZF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'. 💖

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✨ 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': No transpose, apply Q;
  • = 'C': Conjugate transpose, apply Q**H.
• 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 (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.
• INFO — INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

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✨ Author ✨

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

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✨ Contributors: ✨

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

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✨ Further Details: ✨

Bestie, the original page has just !> here — that's the entire further-details situation. No cap. 🫶

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Definition at line 185 of file zunmrz.f.

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✨ Author ✨

Generated automatically by Doxygen for LAPACK from the source code.

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💖 that's the whole page, bestie! This footer situation is LAPACK Version 3.12.0, and it points back at /home/abui...RC/zunmrz.f(3) — no separate date printed, so don't come for me. Stay slay, and may your matrices stay unitary. 💅✨