SRC/clarz.f(3)

✨ NAME ✨

SRC/clarz.f — welcome to the Library Functions Manual page for this Fortran cutie, bestie. CLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.

🌸 SYNOPSIS 🌸

Functions/Subroutines

• subroutine clarz (side, m, n, l, v, incv, tau, c, ldc, work) — CLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.

💅 Function/Subroutine Documentation 💅

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

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

🧚 Purpose 🧚

okay so here's the whole point: CLARZ applies a complex elementary reflector H 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. slay, no cap.

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 CTZRZF.

🎀 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 array, dimension (1+(L-1)*abs(INCV)); the vector v in the representation of H as returned by CTZRZF. V is not used if TAU = 0.
• INCV — INCV is INTEGER; the increment between elements of v. INCV <> 0.
• TAU — TAU is COMPLEX; the value tau in the representation of H.
• C — C is COMPLEX 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 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 !> block here is literally empty — no extra details, bestie 🫶.

Definition at line 146 of file clarz.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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bye bestie 💖 — source/version: LAPACK Version 3.12.0, page SRC/clarz.f(3). the original footer has that version and page; no separate date line shown 💜.