ZUNML2(3)

💅 NAME

okay so bestie, this is the Library Functions Manual page for ZUNML2(3). the NAME section is literally just the source path: /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zunml2.f. also the header/footer path vibe is /home/abui...RC/zunml2.f(3) — iykyk.

✨ SYNOPSIS ✨

🧚 Functions/Subroutines

• subroutine ZUNML2 (side, trans, m, n, k, a, lda, tau, c, ldc, work, info) — ZUNML2 multiplies a general matrix by the unitary matrix from an LQ factorization determined by cgelqf (unblocked algorithm). slay.

🌸 Function/Subroutine Documentation 🌸

here's the full signature, no cap:

   subroutine ZUNML2 (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)

and yes, same one-liner: ZUNML2 multiplies a general matrix by the unitary matrix from an LQ factorization determined by cgelqf (unblocked algorithm).

🎯 Purpose

okay so ZUNML2 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(k)**H . . . H(2)**H H(1)**H

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

🧸 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.
• 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 ZGELQF in the first 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 ZGELQF.
• 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.

📌 Definition

Definition at line 157 of file zunml2.f.

🪄 Author

Generated automatically by Doxygen for LAPACK from the source code.

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okay that's the whole page, bestie 🫶 sign-off time: this footer is from LAPACK, Version 3.12.0, and the path is /home/abui...RC/zunml2.f(3). periodt ✨