/home/abui...RC/zlarz.f(3)

🌸 NAME 🌸

okay so bestie, this page is from the Library Functions Manual and it lives at /home/abui...RC/zlarz.f(3) — and the NAME tea is this source file: /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zlarz.f. 💅

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✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

subroutine ZLARZ (side, m, n, l, v, incv, tau, c, ldc, work)

ZLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.

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💜 Function/Subroutine Documentation 💜

subroutine ZLARZ (character side, integer m, integer n, integer l,
    complex*16, dimension( * ) v, integer incv, complex*16 tau, complex*16,
    dimension( ldc, * ) c, integer ldc, complex*16, dimension( * ) work)

ZLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.

✨ Purpose: ✨

okay so ZLARZ takes a complex elementary reflector H and applies it to a complex M-by-N matrix C, from either the left or the right. H is represented in the form

H = I - tau * v * v**H

where tau is a complex scalar and v is a complex vector.

If tau = 0, then H is taken to be the unit matrix.

To apply H**H (the conjugate transpose of H), supply conjg(tau) instead tau.

H is a product of k elementary reflectors as returned by ZTZRZF.

🌈 Parameters 🌈

💅 SIDE 💅

SIDE is CHARACTER*1

• = 'L': form H * C
• = 'R': form C * H

💅 M 💅

M is INTEGER

The number of rows of the matrix C.

💅 N 💅

N is INTEGER

The number of columns of the matrix C.

💅 L 💅

L is INTEGER

The number of entries of the vector V containing the meaningful part of the Householder vectors.

If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.

💅 V 💅

V is COMPLEX*16 array, dimension (1+(L-1)*abs(INCV))

The vector v in the representation of H as returned by ZTZRZF. V is not used if TAU = 0.

💅 INCV 💅

INCV is INTEGER

The increment between elements of v. INCV <> 0.

bestie, INCV <> 0 is not optional. 🫶

💅 TAU 💅

TAU is COMPLEX*16

The value tau in the representation of H.

💅 C 💅

C is COMPLEX*16 array, dimension (LDC,N)

On entry, the M-by-N matrix C.

On exit, C is overwritten by the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'.

💅 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'
          or (M) if SIDE = 'R'

👑 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 source has just an empty !> here — literally no extra details, bestie. 💀

Definition at line 146 of file zlarz.f.

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💖 Author 💖

Generated automatically by Doxygen for LAPACK from the source code.

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okay that's the whole page, bestie. The footer has the source/version LAPACK Version 3.12.0 and the path /home/abui...RC/zlarz.f(3) — no date listed, just that cute footer tea. 💅✨🫶