CUNMLQ(3)

💅 CUNMLQ(3) — bestie, we’re doing LAPACK

Okay so this is the manual page for CUNMLQ(3), and yes, it’s giving very “complex unitary matrix main character energy.” 💖

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🎀 NAME

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

That’s the source file path, bestie — literally exactly that. No cap. ✨

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🦋 SYNOPSIS

   Functions/Subroutines
       subroutine CUNMLQ (side, trans, m, n, k, a, lda, tau, c, ldc, work,
           lwork, info)
           CUNMLQ

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💖 Function/Subroutine Documentation

   subroutine CUNMLQ (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)
       CUNMLQ

✨ Purpose

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

as returned by CGELQF. 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': 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.
• 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 CGELQF in the first 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 CGELQF.
• 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.
• 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. Iconic behavior, honestly. 🫶

• 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.

Definition at line 166 of file cunmlq.f.

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👑 Author

Generated automatically by Doxygen for LAPACK from the source code.

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xoxo, your LAPACK bestie 💖 — this page is from LAPACK, version 3.12.0, source path /home/abui...RC/cunmlq.f(3), and the date isn’t printed in the original footer. Slay. ✨