CUNMQL(3)

💖 NAME 💖

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

okay bestie, welcome to cunmql.f(3) — this is the manual page for CUNMQL, and it's giving major "linear algebra but make it fashion" energy 💅✨

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✨ SYNOPSIS ✨

Functions/Subroutines

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

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🧚 Function/Subroutine Documentation 🧚

subroutine CUNMQL (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)
    CUNMQL

🌈 Purpose 🌈

bestie, CUNMQL 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(2) H(1)

as returned by CGEQLF. 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': 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,K)

The i-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by CGEQLF in the last k columns of its array argument A.

👑 LDA 👑

LDA is INTEGER

The leading dimension of the array A.

• If SIDE = 'L', LDA >= max(1,M);
• if SIDE = 'R', LDA >= max(1,N).

🫶 TAU 🫶

TAU is COMPLEX array, dimension (K)

TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CGEQLF.

💜 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.

💀 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 cunmql.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

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💖 cute little sign-off bestie: this page is from LAPACK Version 3.12.0, manual page cunmql.f(3) — and the footer path is /home/abui...RC/cunmql.f(3). The date wasn't printed on the page, so I'm not inventing one, no cap 🫶✨ byeee!